Answer:
The correct option is c. Recognize an increase in net income of $9,000.
Explanation:
This can be determined as follows:
Common stock price per share on January 31, 2020 = $15
Common stock price per share on March 31, 2020 = $18
Fair value adjustment per share on March 31, 2020 = Common stock price per share on March 31, 2020 - Common stock price per share on January 31, 2020 = $18 - $15 = $3 gain
Fair value adjustment of declared a property dividend on March 31, 2020 = Number of shares declared as a property dividend on March 31, 2020 * Fair value adjustment per share on March 31, 2020 = $3,000 * $3 = $9,000 gain
Therefore, the correct option is c. Recognize an increase in net income of $9,000.
Under an installment contract, a buyer can:
a. Reject an installment if the nonconformity substantially impairs the value of the installment without giving the seller an opportunity to cure
b. Hold the seller in breach of the entire installment contract when a nonconforming installment substantially impairs the value of that installment alone.
c. Reject an installment no matter how minor the nonconformance is.
d. None of these answers.
Answer:
b. Hold the seller in breach of the entire installment contract when a nonconforming installment substantially impairs the value of that installment alone.
Explanation:
In installment contract, the seller and the buyer agrees on the ways through which the buyer will pay for the goods which he or she purchases installmentally rather than a one off payment. In a situation where the agreement has been reached, it expected that the buyer and the seller to conform to the said agreement. However,the seller is hold in breach of the entire installment contract if there is impairment of the value of the goods substanstially.
define credit crunch.
Answer:
"a sudden sharp reduction in the availability of money or credit from banks and other lenders."
Answer: a sudden sharp reduction in availability of money or credit from Banks and other lenders
Explanation:
Scenario: You are a CEO of well-established and profitable software technology firm that has a choice to invest in one of two new software technologies; one that promises modest profit with very little risk and another that may yield a very high profit but at considerable risk. Keeping in mind cultural factors (social values/priorities, politics, economy, technology, regulation, etc.) Answer the following: 1. What would your choice be? 2. Who in your company might support the first technology and who might support the second? 3. Think about individuals from all levels of the company, from the CEO and board members down to R&D personnel. What considerations of your decision need to be made from a societal perspective? 4. Consider individuals outside of the company itself. How might the type of industry affect this type of decision?
Answer:
1. What would your choice be?
My choice would be the little risk, modest profit option, because the company is well-established, and at that point, it is not necessary to take on huge risks.
2. Who in your company might support the first technology and who might support the second?
Younger employees would probably support the second technology, while older, more established and secure employees like senior managers would be more likely to support the first technology.
3. Think about individuals from all levels of the company, from the CEO and board members down to R&D personnel. What considerations of your decision need to be made from a societal perspective?
How the investment decision will affect the different departments of the company, both at the department level, and at the individual level.
4. Consider individuals outside of the company itself. How might the type of industry affect this type of decision?
The type of industry affects the decision greatly because different industries have varying degrees of market risk. This market risk is often measured by a "beta", which is a measure or the deviation of an industry from the average market risk.
Solomon has a balance of $4,000 on his credit card account, which has a minimum payment requirement of 4 percent. What is the minimum payment on his account?
Answer:
$1,000
Explanation:
Answer:
160$
Explanation:
Which of the following is NOT a benefit provided by a stakeholder analysis document?
Select an answer:
You will know who the project stakeholders are.
You can prioritize stakeholders so you make sure to keep the most important ones happy.
You will know the best way to communicate project information to the stakeholders.
You will understand the best way to work with different stakeholders to get results.
Answer:
This is not a benefit provided by a stakeholder analysis document:
You can prioritize stakeholders so you make sure to keep the most important ones happy.
Explanation:
A stakeholder analysis document identifies a project's stakeholders, their participation levels, interests, and influences in the project. It determines the best approach to involve, and therefore, communicate with each stakeholder group. The purpose of the document is not to prioritize stakeholders but to identify the groups.
XYZ company sells wooden carvings for $300 each. The direct materials cost per unit is $160 and the direct labor per unit is 2 hours at a rate of $26 per hour. Manufacturing overhead (all fixed costs) is applied based on labor hours at a rate of $36 per hour. XYZ makes and sells 1,000 units per period. How many units must XYZ sell to breakeven
Answer:
818 units
Explanation:
Unit Contribution margin
= 300 - 160 - (2 × $26)
= $88
Fixed cost period
= (2 × $36) × 1,000 units
= $72,000
Break even = Fixed cost / Contribution margin
Break even = $72,000 / $88
Break even = 818 units
Therefore, XYZ company must sell 818 units to break even.
Prepare the journal entries needed based on the following information: Estimated overhead for the month: $6,000 Estimated direct labor hours: 2,000 Purchased $35,000 of materials Requisitioned $10,000 of materials to be placed into production Incurred $4,000 of direct labor during the month (500 hours) Incurred the following actual factory overhead amounts: Utilities: $1,000 Indirect materials: $500 Indirect labor: $1,000 Rent: $1,500 Completed two jobs with a cost of $18,000 Sold both jobs completed at price
1.
What is CASS and what is its purpose?
Mary owns her own business and has just attended a cash flow management seminar where it was suggested the businesses should delay paying their suppliers as long as absolutely possible even if doing so violates the stated payment terms. Mary decides to continue paying her suppliers on time in accordance with their payment terms because Mary would like her customers to pay her on time. Mary has reached her decision in accordance with:_________.
Answer:
Kantian ethics.
Explanation:
Kantian ethics is a deontological moral theory founded on Kant's theory. According to this theory, the right or wrong actions doing does not rely upon the consequences but whether or not they carry out their duty.
In the given case, Mary's decision is in accordance with Kantian ethics as she decides to pay her suppliers on time.
Therefore, Kantian ethics is the correct answer.
If the market for quilts is perfectly competitive and other quilt producers face the same cost as Alex then what would you expect to happen to both the number of firms making quilts and the equilibrium price of quilts in the long run
Answer:
Since the firms are currently losing money, some of them will eventually exit the market in the long run. Once the total number of firms decreases, the equilibrium price will shift upwards until it reaches a point where the firms are able to break even. in other words, the firms will make 0 economic profit, but they will not lose money either.
At Beleza Natural, one of the steps of the process is drying and styling, which include having cut and/or colored. 35% of the clients had their hair cut, which took an average of 20 min. Hairdresser spent 10 minutes with the customer while coloring the hair and only 15% of the customers chose to have their hair colored. Drying and styling the hair took 10 min on average and all the customers requested drying and styling. What is the expected activity time for this step of the process in Beleza Natural
Answer:
18.50 minutes
Explanation:
cutting and drying/styling
= 20 + 10 = 30 minutes
percentage = 35%
= 30 * 0.35 = 10.50
coloring and styling/drying
= 10 + 10 = 20 minutes
percentage = 15 percent
0.15 * 20 = 3.00
only dryind and styling
time = 10 minutes
probability = 1 - 0.15+0.35 = 0.50
0.50 * 10 = 5.00
the expected activity time for this process = 10.50 + 5.00 + 3.00
= 18.50
Vernon Boat Company makes inexpensive aluminum fishing boats. Production is seasonal, with considerable activity occurring in the spring and summer. Sales and production tend to decline in the fall and winter months. During year 2, the high point in activity occurred in June when it produced 209 boats at a total cost of $154,800. The low point in production occurred in January when it produced 31 boats at a total cost of $48,000. Required Use the high-low method to estimate the amount of fixed cost incurred each month by Vernon Boat Company. Determine the total estimated cost if 110 boats are made.
Answer:
Total cost= $95,400
Explanation:
First, we need to calculate the unitary and fixed costs using the high-low method:
Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)
Variable cost per unit= (154,800 - 48,000) / (209 - 31)
Variable cost per unit= $600
Fixed costs= Highest activity cost - (Variable cost per unit * HAU)
Fixed costs= 154,800 - (600*209)
Fixed costs= $29,400
Fixed costs= LAC - (Variable cost per unit* LAU)
Fixed costs= 48,000 - (600*31)
Fixed costs= $29,400
Now, the total cost for 110 boats:
Total cost= 29,400 + 110*600
Total cost= $95,400
Bramble Corp. reported the following year-end information: Beginning work in process inventory $1080000 Beginning raw materials inventory 300000 Ending work in process inventory 900000 Ending raw materials inventory 480000 Raw materials purchased 960000 Direct labor 910000 Manufacturing overhead 730000 Bramble Corp.'s cost of goods manufactured for the year is
Answer:
$2,600,000
Explanation:
Cost of goods manufactured
Consider all the manufacturing costs in the calculation to determine the cost of goods manufactured.
Cost of goods manufactured = $1,080,000 + $780,000 + $910,000 + $730,000 - $900,000
= $2,600,000
Notes :
Raw Materials used in Production = $300,000 + $960,000 - $480,000
= $780,000
therefore,
Bramble Corp.'s cost of goods manufactured for the year is $2,600,000.
You run a hospital with 100 rooms. Fixed daily cost is $2000 which includes staff salary, property charges, maintenance etc. Variable cost per room is $10 which includes cleaning, equipment rentals, utility cost etc. which is incurred only when the room is full. You charge $50 per room per day. You sold 30 rooms today, how much profit/loss did you earn.
Answer:
lost $800
profit per room is 50-10= 40 per full room. 30 rooms at 40 each is $1200. fixed cost is $2000, $800 more than the days revenue
You are thinking about the things that can go wrong on your trip home over the Thanksgiving break. You have booked a flight with US-Scareways. You know that in 35 percent of the cases the company has canceled the flight you were on. Should such a thing occur, there would be no other air travel option home for you. As a backup, your friend Walter has offered you a ride back. However, you know that Walter only has a seat in his car for you with 70 percent probability.
What is the probability of you making it home for the holidays?
Answer: 89.5% or 0.895
Explanation:
Probability of you making it home if the flight is canceled:
= Probability that flight is canceled * probability that Walter has a seat
= 35% * 70%
= 24.5%
Probability of you making it home by flight:
= 100% - 35%
= 65%
Probability of you making it home for the holidays:
= Prob. if flight is canceled + Prob. by flight
= 24.5% + 65%
= 89.5%
Dividends cause a(n) increase/decrease)_________ in equity and are recorded directly in
Answer:
Decrease (debit) in equity, Cash Dividends Payable (credit, liability account)
Explanation:
The journal entry to record the declaration of the cash dividends involves a decrease (debit) to Retained Earnings (a stockholders' equity account) and an increase (credit) to Cash Dividends Payable (a liability account).
(opentextbc.ca)
If you want to give a vendor an incentive to complete work early which type of contract would you use?
Answer:
A fixed price incentive is a type of price that is set based on a reward that will be given only in the case the good or service traded results to be better than expected.Explanation:
ILYOn July 1, Arcola Company purchases equipment for $330,000. The equipment has an estimated useful life of 10 years and expected salvage value of $40,000. The company uses straight-line depreciation. Four years later, economic factors cause the fair value of the equipment to decline to $160,000. On this date, Arcola examines the equipment for impairment and estimates $185,000 in undiscounted expected cash inflows from this equipment.
Required:
a. Compute the annual depreciation expense relating to this equipment.
b. Compute the equipment's net book value at the end of the fourth year.
c. Apply the test of impairment to this equipment as of the end of the fourth year. Is the equipment impaired?
Answer:
a. $29,000
b. $214,000
c. Yes
Explanation:
a. Annual Depreciation expense:
= (Cost - salvage value)/ Useful life
= (330,000 - 40,000) / 10,000
= $29,000
b. Net book value at end of 4th year:
= Cost - 4 year depreciation
= 330,000 - (4 * 29,000)
= $214,000
c. One test to see if equipment is not impaired is that the Expected Undiscounted cashflows need to be higher than the net book value. This is not the case here as the Net Book value of $214,000 is higher than the expected Undiscounted cash inflows of $185,000. Equipment is therefore impaired.
Patricia Ness is a lawyer specializing in employment law. Her clients showed her that the right-to-work laws create many problems for unionized workers. Therefore, she has started a petition to change the situation. In addition, she publishes a blog on the topic, and she takes every opportunity to talk publicly about the issue. Her tendency to identify opportunities, show initiative, take action, and persevere is typical of this personality trait.
a. Conscientious Personality
b. Introverted Personality
c. Narcissistic Personality
d. Sell Monitoring Personality
e. Proactive Personality
Answer:
a. Conscientious Personality
Explanation:
Conscientiousness can be regarded as personality trait that involves one to be
careful as well as diligent in performing tasks,/ obligations. This trait make one to be efficient and organized
se the information below for Harding Company to answer the question that follow. Harding Company Accounts payable $36,681 Accounts receivable 60,524 Accrued liabilities 6,727 Cash 24,556 Intangible assets 40,334 Inventory 71,626 Long-term investments 90,463 Long-term liabilities 79,713 Marketable securities 32,237 Notes payable (short-term) 25,302 Property, plant, and equipment 627,557 Prepaid expenses 2,404 Based on the data for Harding Company, what is the amount of quick assets
Answer:
See below
Explanation:
With regards to the above,
Computation of quick assets is shown below
Quick assets = Account receivable + cash + marketable securities
= $60,524 + $24,556 + $32,237
= $117,317
Brief Exercise 162 a-b On January 1, 2020, Borse Company issued bonds with a face value of $800,000. The bonds carry a stated interest of 7% payable each January 1. Prepare the journal entry for the issuance assuming the bonds are issued at 95. (Credit account titles are automatically indented when the amount is entered. Do not indent manually.) Account Titles and Explanation Debit Credit Prepare the journal entry for the issuance assuming the bonds are issued at 105. (Credit account titles are automatically indented when the amount is entered. Do not indent manually.) Account Titles and Explanation Debit Credit
Answer:
1.
January 1, 2020
Cash $760000 Dr
Discount on Bonds Payable $40000 Dr
Bonds Payable $800000 Cr
2.
January 1, 2020
Cash $840000 Dr
Bonds Payable $800000 Cr
Premium on Bonds Payable $40000 Cr
Explanation:
1.
When the bonds are issued at 95, this means that they are being issued at 95% of their face value and the cash received will be 95% of the face value which will be = 800000 * 0.95 = 760000
This means that the bonds are issued at a discount to face value and the entry will be to record the cash received as debit for 760000 and the bonds payable which is a liability as credit of 800000. The difference is the discount on issuance of bonds and will be debited by,
Discount = 800000 - 760000 => $40000.
2.
When the bonds are issued at 105, this means that they are being issued at 105% of their face value and the cash received will be 105% of the face value which will be = 800000 * 1.05 = 840000
This means that the bonds are issued at a premium to the face value and the entry will be to record the cash received as debit for 840000 and the bonds payable which is a liability as credit of 800000. The difference is the premium on issuance of bonds and will be credited by,
Premium = 840000 - 800000 => $40000.
The manufacturing division of an electronics company uses activity-based costing. The company has identified three activities and the related cost drivers for indirect production costs:
Activity Cost Driver
Activity 1 Direct materials CostActivity 2 Direct Labor Cost
Activity 3 Kilowatt Hours
Three types of products are produced. Direct costs and cost-driver activity for each product for a month are as follows:
Product A Product B Product C
Direct material cost $75,000 $50,000 $125,000
Direct Labor Cost $6,600 $1,000 $3,000
Direct Labor hours $2,000 $1,000 $2,000
Kilowatt hours $150,000 $200,000 $150,000
Indirect productioncosts for the month are as follows:
Activity 1 $30,000
Activity 2 $20,000
Activity 3 $16,000
Total $66,000
A.) Compute the indirect production costs allocated to each product using the ABC system?
B.) Compute the indirect production costs allocated to each product using a traditional costing system. Assume indirect production costs are allocated to each product using the cost driver: direct labor hours?
An unlevered firm has a cost of capital of 16.7 percent and earnings before interest and taxes of $489,602. A levered firm with the same operations and assets has face value of debt of $650,000 with a coupon rate of 7.5 percent that sells at par. The applicable tax rate is 35 percent. What is the value of the levered firm
Answer:
$2,133,136.53
Explanation:
Calculation for value of the levered firm
First step is to calculate the VU
VU= [$489,602 × (1 - .35)] / .167
VU= $1,905,636.53
Now let calculate the value of the levered firm
VL= $1,905,636.53 + .35($650,000)
VL= $2,133,136.53
Therefore the value of the levered firm is $2,133,136.53
The unadjusted trial balance for PS Music as of July 31, 20Y5 is as follows:
PS Music
Unadjusted Trial Balance
July 31, 20Y5
Account No. Debit Balances Credit Balances
Cash 11 9,945
Accounts Receivable 12 2,750
Supplies 14 1,020
Prepaid Insurance 15 2,700
Office Equipment 17 7,500
Accounts Payable 21 8,350
Unearned Revenue 23 7,200
Common Stock 31 9,000
Dividends 33 1,750
Fees Earned 41 16,200
Wages Expense 50 2,800
Office Rent Expense 51 2,550
Equipment Rent Expense 52 1,375
Utilities Expense 53 1,215
Music Expense 54 3,610
Advertising Expense 55 1,500
Supplies Expense 56 180
Miscellaneous Expense 59 1,855
40,750 40,750
Based on those balances and the additional data below, prepare adjusting journal entries. Include Posting References, using the account numbers in your spreadsheet. You will need the following additional accounts:
Account # Account Name
18 Accumulated Depreciation-Office Equipment
22 Wages Payable
57 Insurance Expense
58 Depreciation Expense
The data needed to determine adjustments for the two-month period ending July 31, 2019, are as follows:
July 31: During July, PS Music provided guest disc jockeys for KXMD for a total of 115 hours. The contract requires PS Music to provide a guest disc jockey for 80 hours per month for a monthly fee of $3,600, which PS Music has already received payment for. Any additional hours beyond 80 will be billed to KXMD at $40 per hour.
Account Post. Ref. Debit Credit
July 31: Supplies on hand at July 31, $275.
Account Post. Ref. Debit Credit
July 31: The balance of the prepaid insurance account relates to the following July 1, 2019 transaction: "Paid a premium of $2,700 for a comprehensive insurance policy covering liability, theft, and fire. The policy covers a one-year period."
Account Post. Ref. Debit Credit
July 31: Depreciation of the office equipment is $50.
Account Post. Ref. Debit Credit
July 31: The balance of the unearned revenue account relates to the contract between PS Music and KXMD, described in the July 3, 2019 transaction, which included the following: "On behalf of PS Music, Peyton signed a contract with a local radio station, KXMD, to provide guest spots for the next three months. The contract requires PS Music to provide a guest disc jockey for 80 hours per month for a monthly fee of $3,600." In accordance with the contract, Peyton received $7,200 from KXMD as an advance payment for the first two months.
Account Post. Ref. Debit Credit
July 31: Accrued wages as of July 31, 2019, were $140.
Account Post. Ref. Debit Credit
Answer:
PS Music
Adjusting Journal Entries:
Debit Accounts receivable 12 $1,400
Credit Fees Earned 41 $1,400
To record extra services rendered. (115 - 80) * $40
Debit Supplies Expense 56 $745
Credit Supplies 14 $745
To record supplies used.
Debit Insurance Expense 57 $225
Credit Prepaid Insurance 15 $225
To record expired insurance expense ($2,700 * 1/12).
Debit Depreciation Expense -Office Equipment 58 $50
Credit Accumulated Depreciation-Office Equipment 18 $50
To record depreciation expense for the month.
Debit Unearned Revenue 23 $3,600
Credit Fees Earned 41 $3,600
To record fees earned.
Debit Wages Expense 50 $140
Credit Wages Payable 22 $140
To record accrued wages.
Explanation:
a) Data and Calculations:
PS Music
Unadjusted Trial Balance
July 31, 20Y5
Account No. Debit Balances Credit Balances
Cash 11 9,945
Accounts Receivable 12 2,750
Supplies 14 1,020
Prepaid Insurance 15 2,700
Office Equipment 17 7,500
Accounts Payable 21 8,350
Unearned Revenue 23 7,200
Common Stock 31 9,000
Dividends 33 1,750
Fees Earned 41 16,200
Wages Expense 50 2,800
Office Rent Expense 51 2,550
Equipment Rent Expense 52 1,375
Utilities Expense 53 1,215
Music Expense 54 3,610
Advertising Expense 55 1,500
Supplies Expense 56 180
Miscellaneous Expense 59 1,855
40,750 40,750
Analysis of Adjustments:
Accounts receivable 12 $1,400 Fees Earned 41 $1,400 (115 - 80) * $40
Supplies Expense 56 $745 Supplies 14 $745
Insurance Expense 57 $225 Prepaid Insurance 15 $225 ($2,700 * 1/12)
Depreciation Expense -Office Equipment 58 $50 Accumulated Depreciation-Office Equipment 18 $50
Unearned Revenue 23 $3,600 Fees Earned 41 $3,600
Wages Expense 50 $140 Wages Payable 22 $140
Bond A pays $8,000 in 20 years. Bond B pays $8,000 in 40 years. (To keep things simple, assume these are zero-coupon bonds, which means the $8,000 is the only payment the bondholder receives.)
Required:
a. If the interest rate is 3.5 percent, what is the value of each bond today? Which bond is worth more? Why? (Hint: You can use a calculator, but the rule of 70 should make the calculation easy.)
b. If the interest rate increases to 7 percent, what is the value of each bond? Which bond has a larger percentage change in value?
Answer:
$4020.53
$2020.58
The bond that pays $8000 in 20 years because its present value is higher
$2067.35
$534.24
The bond that pays $8000 in 40 years
Explanation:
formula for finding present value
pv = fv / (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
a. $8000 / (1.035)^20 = $4020.53
$8000 / (1.035)^40 = $2020.58
b. $8000 / (1.07)^20 = $2067.35
$8000 / (1.07)^40 = $534.24
There is a 73.5% decrease in the price of the bond that pays $8000 in 40 years
There is a 48.6% decrease in the price of the bond that pays $8000 in 20 years
In March 2010, Hertz Pain Relievers bought a massage machine that provided a return of 8 percent. It was financed by debt costing 7 percent. In August, Mr. Hertz came up with a heating compound that would have a return of 14 percent. The chief financial officer, Mr. Smith, told him it was impractical because it would require the issuance of common stock at a cost of 16 percent to finance the pur-chase. Is the company following a logical approach to using its cost of capital?
Answer: No they are not
Explanation:
When using the Cost of Capital approach, it is best that the company use the Weighted Average Cost of Capital(WACC). This would require considering the various capital sources available to the company and their cost instead of the cost of one capital source.
This is because, the availability of various sources of capital are sometimes contingent on others and this is the underlying principle of WACC. When the cost of this equity to be issued and other sources of capital are weighted, the heating compound might then give a better return than the cost.
can I have free account please
Answer:
what kind of account?
i will give you don't worry
LaFevor Co. acquired 70% of the common stock of Dean Corp. on August 1, 2022. For 2022, Dean reported revenues of $960,000 and expenses of $780,000, all reflected evenly throughout the year. The annual amount of amortization related to this acquisition was $21,000. What is the effect of including Dean in consolidated net income for 2022
Answer:
$66,250
Explanation:
Calculation for What is the effect of including Dean in consolidated net income for 2022
Effect of including Dean in consolidated net income for 2022=[($960,000-$780,000)*5/12]- ($21,000 × 5/12)
Effect of including Dean in consolidated net income for 2022=($180,000 × 5/12)- ($21,000 × 5/12)
Effect of including Dean in consolidated net income for 2022=$75,000-$8,750
Effect of including Dean in consolidated net income for 2022=$66,250
(Note that August 1 to December 31 will give us 5 months)
Therefore the effect of including Dean in consolidated net income for 2022 is $66,250
somebody help pls you own a business in your community and you want to convince your community to support the local businesses. Explain five of your roles as an entrepreneur in the social development of the society to convince members of the community to support your business
Answer and Explanation:
Helping local businesses is very important and should be encouraged in all communities, across the country. As a local merchant, you can take steps to help yourself and other local merchants.
Among these attitudes, we can consider:
Design a business that offers differentiated products and services: one of the main threats to local commerce is large corporations. These corporations present products and services with little personality and consideration to the customer. Changing this type of attitude in your trade can help you to be valued.
Provide services and products with high demand in the region: By providing products and services in high demand, you will be able to attract a loyal clientele to your establishment, as you are able to offer exactly what customers want.
Provide competitive prices: Local businesses need to compete with large corporations that generally promote lower prices for their products and services. Providing lower prices can be a challenge for the local merchant, but it is important that he look for strategies to make the price of his products and services competitive, making his establishment a good option for the customer.
Create a support network between local merchants: This allows merchants to unite and refer to each other, as well as allowing them to think together about ways to optimize local trade.
Provide a variety of products and services: This makes your trade richer and more attractive to customers who may have your establishment as a place that will meet their needs.
Sound Software estimates that it will sell LaTeX: NN units of a program after spending LaTeX: aa thousands of dollars on advertising, where LaTeX: N\left(a\right)=-a^2+300a+6N ( a ) = − a 2 + 300 a + 6 when LaTeX: 0\le a\le3000 ≤ a ≤ 300. What is the maximum number of units that can be sold and how much need to be spent on advertising in order to achieve this sales goal?
Answer:
Explanation:
From the given information:
N(a) = -a² +300a + 6
Taking the differential of the above equation with respect to "a"
Then;
N'(a) = - 2a + 300
where;
the Critical points N'(a) = 0
-2a + 300 = 0
-2a = -300
a = -300/-2
a = 150
Now;
N(0) = -(0)² +300(0) + 6
N(150) = (-150)² +300(150) + 6 =22506
N(300) = (-300)² +300(300) + 6 = 6
∴
The max. number of the possible unit that can be sold = 22506
The amount spent on advertising to get to this goal = 150 thousand dollars