Answer:
4.15%
Explanation:
In order to determine the annual saving we must divide the extra cost of the hybrid by the amount of years it takes to recoup our investment.
annual savings = $4,180 / 11 years = $380 per year
our initial investment = -$4,180
since we are going to use the car during 15 years, then we have 15 positive cash flows of $380
using a financial calculator or excel spreadsheet, the internal rate of return (IRR) on our investment = 4.15%
Your Competitive Intelligence team is predicting that the Chester Company will invest in adding capacity to their Cute product this year. Assume Chester's product Cute invests in increasing its capacity by 10% this year. Because of this new information, your company anticipates all other products in the Core segment will increase their capacity by the same amount. How much can the industry produce in the Core segment the next year? Consider only products primarily in the Core segment last year. Ignore current inventories. Figures in thousands (000).
Answer:
HELLO SOME PARTS OF THE QUESTION IS MISSING ATTACHED BELOW IS THE MISSING PARTS
answer : 13156
Explanation:
Considering only products primarily in the core segment last year.
they are : Ant, cone, cute,Drat and Daze
From the question it is assumed that Chester's product Cute and other products in its Core segment will be increased by 10% this year hence we will calculate the 10% increase of each core product and add it to its initial value
For ANT (1550)
will become = 1550 + ( 10% * 1550 ) = 1705
For CONE ( 1050 )
will become = 1050 + ( 10% * 1050 ) = 1155
For Cute ( 1300 )
will become = 1300 + (10% * 1300 ) = 1430
For Drat ( 1040 )
will become = 1040 + ( 10% * 1040 ) = 1144
For DAZE ( 1040 )
will become = 1040 + ( 10% * 1040 ) = 1144
The total capacity of the current year = 1705 + 1155 + 1430 + 1144 + 1144 = 6578
Hence the Total capacity the Industry will produce in the core next year still applying the 10% increment will be = 2 * 6578 = 13156
On January 1, 2016, the Excel Delivery Company purchased a delivery van for $33,000. At the end of its five-year service life, it is estimated that the van will be worth $3,000. During the five-year period, the company expects to drive the van 100,000 miles.
Required:
Calculate annual depreciation for the five-year life of the van using each of the following methods. (Do not round intermediate calculations.)
1. Straight line
2. Sum of the years digits
3. Double declining balance
4, Units of production using miles driven as a measure of output and the following actual mileage:
Year Miles
2016 22,000
2017 24,000
2018 15,000
2019 20,000
2020 21,000
Answer:
1. Straight line
years 2016 to 2020 = $6,000
2. Sum of the years digits
2016 = $10,000
2017 = $8,000
2018 = $6,000
2019 = $4,000
2020 = $2,000
3. Double declining balance
2016 = $13,200
2017 = $7,920
2018 = $4,752
2019 = $2,852
2020 = $1,276
4, Units of production using miles driven
2016 = $6,600
2017 = $7,200
2018 = $4,500
2019 = $6,000
2020 = $5,700
Explanation:
purchase cost $33,000
useful life 5 years, salvage value $3,000
expected use 100,000 miles
1. Straight line
($33,000 - $3,000) / 5 = $6,000
2. Sum of the years digits
year 1 = 5/15 x $30,000 = $10,000
year 2 = 4/15 x $30,000 = $8,000
year 3 = 3/15 x $30,000 = $6,000
year 4 = 2/15 x $30,000 = $4,000
year 5 = 1/15 x $30,000 = $2,000
3. Double declining balance
year 1 = 2 x 1/5 x $33,000 = $13,200
year 2 = 2 x 1/5 x $19,800 = $7,920
year 3 = 2 x 1/5 x $11,880 = $4,752
year 4 = 2 x 1/5 x $7,128 = $2,851.20 ≈ $2,852
year 5 = $4,276 - $3,000 = $1,276
4, Units of production using miles driven
depreciation expense per mile = ($33,000 - $3,000) / 100,000 = $0.30
Year Miles
2016 22,000 x $0.30 = $6,600
2017 24,000 x $0.30 = $7,200
2018 15,000 x $0.30 = $4,500
2019 20,000 x $0.30 = $6,000
2020 (21,000 - 2,000) x $0.30 = $5,700
The potential benefits lost by taking a specific action when two or more alternative choices are available is known as a(n):
Answer:
Opportunity costs
Explanation:
The potential benefits lost by taking a specific action when two or more alternative choices are available is known as opportunity costs.
Opportunity cost has to do with losing other alternatives by chosing to go with one alternative. Hence it is also called foregone alternative. It has to do with making a decision or choice to give up something in order to get something else which may be of more value.
When a manager uses relationships and formal authority to cause other people in the organization to change their behavior, the manager is _____________.
Answer:
answer choices?
Explanation:
what are the answer choices
During the ____________step in activity-based costing, overhead costs in each activity cost pool are assigned to products.
a. first
b. second
c. third
d. fourth
Answer:
d. fourth
Explanation:
Activity-based costing involves the following steps:
-First step: establish the activities that use resources and assign the costs to them.
-Second step: identify what causes the costs in each activity and this would be the allocation base.
-Third step: find an activity rate.
-Fourth step: assign costs to the products according to the activity usage by the product.
According to this, the answer is that during the fourth step in activity-based costing, overhead costs in each activity cost pool are assigned to products.
A metal fabricator produces connecting rods with an outer diameter that has a 1 ± .01 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.002 inches with a standard deviation of .003 inch.
a. Calculate the Cp of the process. (Round your answer to 3 decimal places.)
Cp =
b. Calculate the Cpk of the process. (Round your answer to 3 decimal places.)
Cpk =
Answer:
A) 1.111
B) 0.889
Explanation:
given data :
outer diameter of connecting rods = 1 ± 0.01 inch
sample mean outer diameter = 1.002 inches
standard deviation = 0.003 inches
A) Calculating the Cp of the process
mean = 1.002
Standard deviation = 0.003
LSL = 1 - 0.01 = 0.99
USL = 1 + 0.01 = 1.01
[tex]Cp = \frac{USL - LSL}{6 * STANDARD DEVIATION}[/tex] = [tex]\frac{1.01-0.99}{6*0.003}[/tex] = 1.111
B) calculate Cpk
mean = 1.002, LSL = 0.99, USL = 1.01 , deviation = 0.003
[tex]Cpk = min[\frac{mean-LSL}{3* deviation} , \frac{USL- mean}{3*deviation} ][/tex]
= min [(0.012/0.009) , (0.008/0.009) ]
= min [ 1.333, 0.889 ]
hence Cpk = 0.889
Sarah, the controller of a large beverage supplier, supervises two employees. Her boss, Vladimir, instructs her to increase the company's inventory balance for an amount that is material to the financial statements by crediting several small "miscellaneous" expense accounts. She does not understand why he wants her to make these entries but immediately directs one of her staff to make them because she has been instructed to do so. Which of the following statements best describes Sarah's actions?
Answer:
Sarah failed to evaluate a potential ethical issue
Explanation:
According to the given scenario, Ethical concerns occur as workers face pressure from their employers to inflate profits or expenditures that include manipulating financial statements. Workers should be morally responsible and not participate in any dishonest behavior that modify the financial statements.
So, the correct answer is Sarah failed to evaluate a potential ethical issue .
A machine costs $600000 and is expected to yield an after tax net income of $23000 each year. Managment predicts this machine has a 10 year service life and a $120000 salvage value, and it uses straight line depreciation. Compute this machine's accounting rate of return
Answer:
6.39%
Explanation:
The cost of the machine is $600,000
The net income is $23,000
The management predict a that it has a 10 years service life
The salvage value is $120,000
The first step is to calculate the average investment
Average investment= (Cost of machine+Salvage value)/2
= $600,000+$120,000/2
= $720,000/2
= $360,000
Therefore, the accounting rate of return can be calculated as follows
= Annual net income/Average investment
= $23,000/$360,000
= 0.0639×100
= 6.39%
Hence the accounting rate of return is 6.39%
While examining cash receipts information, the accounting department determined the following information: opening cash balance $180, cash on hand $1,350.89, and cash sales per register tape $1,186.34. Prepare the required journal entry based upon the cash count sheet.
Answer:
Cash $1,170.89
Cash Over/Short $15.45
To Sales Revenue $1,186.34
(Beingthe cash is recorded)
Explanation:
Before passing the journal entry first we have to determine the ending cash balance which is shown below:
Ending Cash Balance is
= Opening Cash Balance + Sales
= $180 + $1,186.34
= $1,366.34
Short cash is
= Ending cash balance - cash on hand
= $1,366.34 - $1,350.89
= $15.45
And, the actual cash is
= Cash on hand - opening cash balance
= $1,350.89 - $180
= $1,170.89
Now the journal entry is
Cash $1,170.89
Cash Over/Short $15.45
To Sales Revenue $1,186.34
(Being the cash is recorded)
The _____ was established by Congress to encourage American firms to focus on quality improvement in order to improve their global competitiveness.
Answer:
The correct answer is: Baldridge Performance Excellence Program.
Explanation:
To begin with, the "Baldridge Performance Excellence Program" is the name given to the program that was established by the United States of America in order to encourage the companies of the country to improve their performance regarding the economy and the globalization that was happening at the time the program was created. It receives its name from the ex secretary of commerce Malcom Baldridge and the award gives to the company selected the recognition of having performance excellence in the its field
Brendan is a manager in a chocolate factory. His team works on an assembly line; workers fill boxes that come at a fixed rate of speed. The workers can easily see whether the boxes are filled correctly. Brendan schedules a team meeting to celebrate packing the millionth box.
Brendan’s_______leadership behavior is likely to be______, because_______, ______this leadership behavior.
Answer: people oriented; effective; automatic feedback; has no effect on.
Explanation:
For a people-oriented leader, success is achieved by building a lasting relationships with ones workers. For this leader, even though the tasks are vital, he or she believes that the work culture is more vital.
Based on the analysis in the question,
Brendan’s people oriented leadership behavior is likely to be effective because automatic feedback will have no impact on this leadership behavior.
calculate the net present value of a business deal that cost $2500 today and will return $1500 at the end of this year. use interest rate of 13%
Answer:
NPV= -$1,172.57
Explanation:
Giving the following information:
Initial investment= $2,500
Cash flow= $1,500
Discount rate= 13%
To calculate the net present value (NPV), we need to use the following formula:
NPV= -Io + ∑[Cf/(1+i)^n]
NPV= -2,500 + (1,500/1.13)
NPV= -1,172.57
Portfolio managers pick stocks for their clients’ portfolios based on the investment objective of the portfolio and several other factors. One key consideration is each stock’s contribution to portfolio risk and its statistical relationship with the portfolio’s other stocks. Based on your understanding of portfolio risk, identify whether each statement is true or false.
Answer:
False True True FalseExplanation:
First one is false because diversification reduces risk because it divides the risk amongst different securities. The portfolio risk will therefore be lower than the average of all stocks' standard deviations.
Second one is true because unsystematic risk is risk that will come with the type of stock or security purchased. It is usually referred to as diversifiable risk because using negatively correlated stocks can help diversify this risk.
Third one is True because the portfolio's risk when diversified is indeed likely to be smaller than the average of all stocks' standard deviation.
Fourth one is false because portfolio risk is reduced if stock that are negatively correlated are put into a portfolio because it means that when one stock is not doing so well, the other being negatively correlated, will be doing fine.
The crowding-out effect refers to the possibility that:
a. a deficit, financed by borrowing in the capital markets, will increase the interest rate and reduce investment in the private sector.
b. an increase in the supply of money will induce a decline in real spending.
c. when used simultaneously, expansionary fiscal and monetary policies are counter-productive.
d. the speculative demand for money varies inversely with the interest rate.
Answer:
a. a deficit, financed by borrowing in the capital markets, will increase the interest rate and reduce investment in the private sector.
Explanation:
Crowding out effect is when government borrowing from the capital markets leads to an increase in interest rate. this makes it more expensive for private sector to borrow and this reduces investment by private sector
g Profit maximazation for a monopolist and a perfect competitor occurs where marginal revenue equals marginal cost. At this profit-maximizing output, the monopolist will charge a price ________ marginal revenue and a perfect competitor will charge a price ________ marginal revenue.
Answer: Higher than; Equal to
Explanation:
Profit maximazation for a monopolist and a perfect competitor occurs where marginal revenue equals marginal cost.
The Marginal Revenue curves are different for either of them though and this impacts what price they sell at. This is because the price the good will be sold at depends on where the maximising output touches the demand curve.
The Monopolist has a Marginal Revenue curve that is lower than the Demand Curve. Therefore the point where Marginal Revenue and Marginal Cost intersect, will not be on the demand curve but lower than it. The price charged will therefore be the point where the maximising output touches the Demand Curve.
The Perfectly Competitive Firm however is in a market where Price is equal to the Demand curve and equal to the Marginal Revenue curve as well. The point where the Marginal Cost intersects with Marginal Revenue will also be the point where the maximising output touches the Demand curve so the price will be the same as the Marginal Revenue.
A large open economy has desired national saving of Sd = 1200 + 1000rw, and desired national investment of Id = 1000 - 500rw. The foreign economy has desired national saving of = 1300 + 1000rw, and desired national investment of = 1800 - 500rw. The equilibrium world real interest rate equal to:________.
Answer: 10%
Explanation:
The Equilibrium real interest rate would be the interest rate that equates the Desired savings to the desired investment for both the National and foreign economy.
Desired national saving + Foreign desired national saving = Desired national investment + Foreign desired national investment
1,200 + 1,000rw + 1,300 + 1,000rw = (1,000 - 500rw) + (1,800 - 500rw)
2,500 + 2,000rw = 2,800 - 1,000rw
2,000rw + 1,000rw = 2,800 - 2,500
3,000rw = 300
rw = 0.1
rw = 10%
Suppose that the quantity of apples sold increases by 30 percent after the price of pears increases by 15 percent. What is the coefficient of cross elasticity of demand
Talbot Industries is considering launching a new product. The new manufacturing equipment will cost $17 million, and production and sales will require an initial $3 million investment in net operating working capital. The company's tax rate is 35%. What is the initial investment outlay? Write out your answer completely. For example, 2 million should be entered as 2,000,000. $ The company spent and expensed $150,000 on research related to the new project last year. Would this change your answer? -Select- Rather than build a new manufacturing facility, the company plans to install the equipment in a building it owns but is not now using. The building could be sold for $1.5 million after taxes and real estate commissions. How would this affect your answer? The project's cost will -Select- .
Answer:
What is the initial investment outlay?
initial investment = $17 million (manufacturing equipment) + $3 (increase in net working capital) = $20,000,000The company spent and expensed $150,000 on research related to the new project last year. Would this change your answer?
No, this will not change the answer because that was a sunk cost that doesn't affect the project's initial outlay.Rather than build a new manufacturing facility, the company plans to install the equipment in a building it owns but is not now using. The building could be sold for $1.5 million after taxes and real estate commissions. How would this affect your answer?
If the company decides to do this, it will increase the project's initial outlay by $1,500,000 which is the opportunity cost of selling the building.Department Y started 675 units during the accounting period. They had a beginning balance in goods in process inventory of 225 units and an ending balance of 150 units. _____ units were completed and transferred out.
a. 750
b. 620
c. 650
d. None of above
Answer:
a. 750
Explanation:
units completed and transferred out = beginning work in process + units started - ending work in progress = 225 units + 675 units - 150 units = 750 units
The number of units completed and transferred out refer to the total number of finished units during a certain period and their cost is referred to as cost of goods manufactured.
ABG Corporation has the following dividend forecasts for the next three years: Year Expected Dividend 1 $ .25 2 $ .50 3 $ 1.25 After the third year, the dividend will grow at a constant rate of 5% per year. The required return is 10%. What is the price of the stock today?
Answer:
Price of share today = $21.302
Explanation:
The price of a share can be calculated using the dividend valuation model
According to this model the value of share is equal to the sum of the present values of its future cash dividends discounted at the required rate of return.
If dividend is expected to grow at a given rate , the value of a share is calculated using the formula below:
Price=Do (1+g)/(k-g)
Do - dividend in the following year, K- requited rate of return , g- growth rate
Step 1 : PV of dividend from year 1 to 3
Year PV of Dividend
1 0.25 × 1.1^(-1) = 0.227
2 0.50 × 1.1^(-2) = 0.413
3 1.25 × 1.1^(-3) = 0.939
Strep 2 : PV of dividend from year 4 to infinity
PV (in year 3 terms) of dividend= 1.25 × 1.05/(0.1-0.05) = 26.25
PV in year 0 terms = 26.25 × 1.1^(-3) = 19.72
Present Value = 0.227 + 0.413 + 0.939 + 19.72 = 21.302
Price of share today = $21.302
BBQ Corporation has a target capital structure that is 70 percent equity, 30 percent debt. The flotation costs for equity issues are 15 percent of the amount raised; the flotation costs for debt are 8 percent. If BBQ needs $150 million for a new manufacturing facility, what is the cost when flotation costs are considered
Answer:
$172,215,844 is the cost when flotation costs are considered
Explanation:
flotation
Weighted average flotation cost = {(Flotation cost debt * Weight debt) + (Flotation cost equity * Weight equity)
= (8% * 0.30) + (15% * 0.70)
=0.024 + 0.105
= 0.129
= 12.9%
Calculation of the cost of funds
Cost of funds = Amount raised / (1 - Weighted average floatation cost)
= $150,000,000 / (1-0.129)
= $150,000,000 / (0.871)
=$172,215,844
Therefore, the cost of raising fund is $172,215,844
research and describe an organization that you believe has been highly innovative ( excluding apple). which of the four types of innovation – radical, incremental, disruptive, or architectural did it use? did the firm use different types over time?
Answer:
The innovative Uber Company.
Explanation:
This company used disruptive innovation to disrupt the taxi industry after they started off as a ride sharing platform in 2010/2011. From humble beginnings, just after a few years after lunch, this company has over 110 million users worldwide.
However, over the years Uber has also used radical innovation to diversify into other services such as Uber Food– for deliveries etc.
Note that disruptive innovation is marked by creating a change from the status quo; which may invariably affect the normal trend– in this case commercial taxi cab.
A stock has a beta of 1.15, the expected return on the market is 10.3 percent, and the risk-free rate is 3.8 percent. What must the expected return on this stock be
Answer:
11.28%
Explanation:
A stock has a beta of 1.15
The expected return on the market is 10.3%
The risk-free rate is 3.8%
Therefore, the expected return on the stock can be calculated as follows
Expected return= Risk-free rate+beta(expected return on the market-risk-free rate)
= 3.8%+1.15(10.3%-3.8%)
= 3.8%+(1.15×6.5)
= 3.8%+7.475
= 11.28%
Hence the expected return on the stock is 11.28%
g The Fed makes an open market operation purchase of $200,000. The currency drain ratio is 33.33 percent and the desired reserve ratio is 10 percent. By how much does the quantity of money increase?
Answer: $618,000
Explanation:
From the question, we are informed that the Fed makes an open market operation purchase of $200,000 and that the currency drain ratio is 33.33 percent and the desired reserve ratio is 10 percent.
We first have to calculate the money multiplier which will be:
= (1 + the currency drain ratio)/( the currency drain ratio + the reserve ratio)
= (1 + 33.33%)/(33.33% + 10%)
= ( 1 + 0.33)/(0.33 + 0.1)
= 1.33/0.43
= 3.09
The quantity of money increase will be:
= 3.09 × $200,000
= $618,000
Indus Corporation pays $100,000 for the trademark rights to a line of soda equipment. After several years, sales for this line of soda equipment are disappointing, and the company estimates the total future cash flows from sales will be only $110,000. The estimated fair value of the trademark is now $60,000. What is the amount of the impairment loss to be recorded
Answer:
impairment loss = $40,000
Explanation:
In accounting, impairment loss refers to the decrease of an asset's carrying value. In order to calculate the impairment loss, you need to subtract the current market value of the asset from its original carrying value.
impairment loss = carrying value - current market value = $100,000 - $60,000 = $40,000
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $70,000 or $200,000 with equal probabilities of .5. The alternative risk-free investment in T-bills pays 6% per year. a. If you require a risk premium of 8%, how much will you be willing to pay for the portfolio?
Answer:
$118,421
Explanation:
first we must calculate the expected value of the risky portfolio = ($70,000 x 0.5) + ($200,000 x 0.5) = $135,000
since your risk premium is 8% and the risk free rate is 6%m then you should discount the expected value by 8% + 6% = 14% to determine its current market price
= $135,000 / (1 + 14%) = $118,421
1. On January 1, 2020, Scottsdale Company issued its 12% bonds in the face amount of $3,000,000, which mature on January 1, 2032. The bonds were issued for $$3,408,818 to yield 10%. Scottsdale uses the effective-interest method of amortizing bond premium. Interest is payable annually on December 31. The 12/31/23 Premium on Bond Payable balance is:
Answer:
Premium ob bonds payable = $320,090.44 (credit balance)
Explanation:
January 1, 2020
Dr Cash 3,408,818
Cr Bonds payable 3,000,000
Cr Premium on bonds payable 408,818
January 1, 2021
Dr Interest expense 340,881.80
Dr Premium on bonds payable 19,118.20
Cr Cash 360,000
($3,408,818 x 0.1) - $360,000 = -$19,118.20
January 1, 2022
Dr Interest expense 338,969.98
Dr Premium on bonds payable 21,030.02
Cr Cash 360,000
($3,389,699.80 x 0.1) - $360,000 = -$21,030.02
January 1, 2023
Dr Interest expense 336,866.98
Dr Premium on bonds payable 23,133.02
Cr Cash 360,000
($3,368,669.78 x 0.1) - $360,000 = -$23,133.02
December 31, 2023
Dr Interest expense 334,553.68
Dr Premium on bonds payable 25,446.32
Cr Interest payable 360,000
($3,345,536.76 x 0.1) - $360,000 = -$25,446.32
Garfield Inc. manufactures entry and dining room lighting fixtures. Five activities are used in manufacturing the fixtures. These activities and their associated budgeted activity costs and activity bases are as follows: Activity Budgeted Activity Cost Activity Base Casting $282,600 Machine hours Assembly 150,360 Direct labor hours Inspecting 20,790 Number of inspections Setup 52,150 Number of setups Materials handling 42,770 Number of loads Corporate records were obtained to estimate the amount of activity to be used by the two products. The estimated activity-base usage quantities and units produced follow: Activity Base Entry Dining Total Machine hours 4,990 4,430 9,420 Direct labor hours 4,300 6,440 10,740 Number of inspections 1,440 450 1,890 Number of setups 280 70 350 Number of loads 720 190 910 Units produced 10,000 5,000 15,000 a. Determine the activity rate for each activity. If required, round the rate to the nearest dollar.
Answer:
Casting = $ 30 per machine hour
Assembly = $ 14 per labor hour
Inspecting = $ 11 per inspection
Setup = $ 149 per setup
Materials handling = $ 47per load
Explanation:
Garfield Inc. Manufacturers
Activity Budgeted Activity Cost Activity Base
Casting $282,600 Machine hours
Assembly 150,360 Direct labor hours
Inspecting 20,790 Number of inspections
Setup 52,150 Number of setups
Materials handling 42,770 Number of loads
Activity Base Entry Dining Total
Machine hours 4,990 4,430 9,420
Direct labor hours 4,300 6,440 10,740
Number of inspections 1,440 450 1,890
Number of setups 280 70 350
Number of loads 720 190 910
Units produced 10,000 5,000 15,000
Activity Budgeted Activity Cost Activity Rate
Casting $282,600 $282,600/9420= $ 30 per machine hour
Assembly 150,360 150,360 / 10,740 = $ 14 per labor hour
Inspecting 20,790 20,790/1890= $ 11 per inspection
Setup 52,150 52,150 /350= $ 149 per setup
Materials handling 42,770 42,770/910= $ 47per load
The formula for Activity rate = Activity Cost/ Activity Base Cost
Paul Hyatt owns and operates DeepClean, a Florida-based company that cleans up mold and mildew in homes and businesses. As the sole proprietor of the business, he has unlimited liability, which means:
Answer:
Paul Hyatt is fully liable for all business debts
Explanation:
Unlimited liability in this scenario, means that Paul Hyatt is fully liable for all business debts. That is because unlimited liability is defined as the full legal responsibility that business owners and partners assume for all business debts, and since Paul Hyatt is a sole proprietor which means that he both owns and runs DeepCleans and there is no legal distinction between him and the business entity, then he is fully liable for debts and profits of DeepClean.
A monopoly's cost function is CQ and its the demand for its product is pQ where Q is output, p is price, and C is the total cost of production. Determine the profit-maximizingLOADING... price and output for a monopoly.
Answer:
The answer is "70 units".
Explanation:
In the given question some equation is missing which can be defined as follows:
[tex]C = 1.5Q^2+40Q\\\\P=320-0.5Q[/tex]
Monopolistic functions are used where Marginal Profit = Marginal Cost where marginal revenue and marginal cost stand for the MR and MC.
Finding the value of MR :
[tex]\ MR = \frac{\partial TR}{\partial Q} \\\\[/tex]
[tex]= \frac{\partial PQ}{\partial Q} \\\\= \frac{\partial (320-0.5Q)Q}{\partial Q}[/tex]
[tex]= \frac{\partial (320Q -0.5Q^2)}{\partial Q}\\\\ = \frac{\partial Q (320 -0.5Q)}{\partial Q}\\\\ \ by \ solving \ we \ get \\\\ = 320 - Q...(1)[/tex]
Calculating the value of the MC:
[tex]MC = \frac{\partial TC}{\partial Q} \\[/tex]
[tex]=\frac{\partial (1.5Q^2 + 40Q)}{\partial Q} \\\\=\frac{\partial Q (1.5Q + 40)}{\partial Q}\\\\ \ by \ solve \ value \\\\ = 3Q + 40....(2)[/tex]
compare the above equation (i) and (ii):
[tex]\to 320 -Q = 3Q+40\\\\\to 320 -40 = 3Q+ Q\\\\\to 280 = 4Q\\\\\to 4Q =280 \\\\\to Q= \frac{280}{4}\\\\\to Q= 70 \\[/tex]