A company produces two types of bicycles; mountain bikes and racing bikes. It takes 5 hours of assembly time and 4 hours of mechanical tuning to produce a mountain bike. It takes 10 hours of assembly time and 2 hours of mechanical tuning to produce a racing bike. The company has at most 23 hours of mechanical tuning labor per week and at most 152 hours of assembly labor per week. The company's profit is $40 for each mountain bike produced and $140 for each racing bike produced. The company wants to make as much money as possible. Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce. What are the constraints for this problem?
Answers
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of mountain bikes they produce, and let y represent the number of racing bikes they produce.
It takes 4 hours of mechanical tuning to produce a mountain bike and 2 hours of mechanical tuning to produce a racing bike. The company has at most 23 hours of mechanical tuning labor per week. Therefore the constraint is:
4x + 2y ≤ 23 (1)
It takes 5 hours of assembly time to produce a mountain bike and 10 hours of assembly time to produce a racing bike. The company has at most 152 hours of mechanical tuning labor per week. Therefore the constraint is:
5x + 10y ≤ 152 (2)
Also, x, y ≥ 0 (3)
The company's profit is $40 for each mountain bike produced and $140 for each racing bike produced. The profit equation is:
Profit = 40x + 140y
Plotting the constraints equation 1 and equation 2 using geogebra online graphing tool. The solution are (0,0), (5,75, 0), (0, 11.5)
At (0,0); Profit = 40(0) + 140(0) = 0
At (5.75,0); Profit = 40(5.75) + 140(0) = 230
At (0,11.5); Profit = 40(0) + 140(11.5) = 1610
The maximum profit is at (0, 11.5)
Related Questions
Help would be much appreciated
Answers
What would the economic situation of the country be if its income from overseas is more than its expenses?
A.
GNP would be higher than GDP
B.
GDP would be higher than GNP
C.
no effect on GNP or GDP
D.
GDP and GNP would be the same
Answers
Answer:
gnp would be higher than gdp
un abuelo dijo a su nieto mira que curioso tu edad es la quinta parte de la mia pero también es igual a la tercera parte de mi edad menos diez años ¿cuántos años tiene el nieto y el abuelo?
Answers
¿Puedo conseguir la corona? y el abuelo tiene cincuenta y ocho años
Use the ordered pairs shown in the table below.
X:20,30,40,50
Y:30,45,60,75
which equation represents the data in the table?
A: y=1.5y
B:x=1/3y
C:x=1.5y
D:y=2/3x
Answers
Answer:
A.
Step-by-step explanation:
if you multiply 20 times 1.5 you get 30. If you multiply 30 times 1.5 you get 45. If you multiply 40 times 1.5 you get 60. If you multiply 50 times 1.5 you get 75 . meaning that y equals 1.5
how many units apart are (-1,4) and (2,-1)
Answers
Answer:
Those points are [tex]\sqrt{34}[/tex] units apart.
Katie got a loan for $10,000. The interest rate is 5%. How much interest will she pay in one year?
Answers
Answer: 10,000 x 0.05 = $500
0.05 is equal to 5%
$500
Please brainlyist
Answer please don't put wrong answer. 30 points.
Answers
it would be D y=2x +2
math nation section 7
Answers
which question do you need help with?
Answer:
I don't understand the ques?
Step-by-step explanation:
Giving brainliest I only have 1 try please give out correct answer:)
Answers
AM I RIGHT? I will mark BRAINLIEST
Answers
Answer:
3
Step-by-step explanation:
The scale factor is actually 3 broski
Answer:
no, its 1/3!!
Step-by-step explanation:
27 x 1/3 = 9
21 x 1/3 = 7
Find the midpoint of the line segment with these endpoints: (-3,-8), (9,3)
Answers
Answer:
Step-by-step explanation:
(3,-5/2)
The midpoint of the line segment with these endpoints (-3, -8) and (9, 3) will be (0, 0.5).
What is the mid-point of the line segment?Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).
Then the coordinate of the mid-point of the line segment is given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
The endpoints of the line segment are given below.
(-3, -8) and (9, 3)
The midpoint of the line segment is calculated as,
(x, y) = [(-3 + 3) / 2, (-8 + 9)/ 2]
(x, y) = (0/2, 1/2)
(x, y) = (0, 0.5)
The midpoint of the line fragment with these endpoints (- 3, - 8) and (9, 3) will be (0, 0.5).
More about the mid-point of the line segment link is given below.
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A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x <10 represent the situation.
Which best explains the number of possible solutions to the inequality?
There is one solution because 9 is the only number between 8 and 10.
There are a three solutions because 8, 9, and 10 are possible solutions.
There are a few solutions because there are some fractions and decimals between 8 and 10.
There are infinite solutions because there is always another number between any two numbers.
Answers
Answer:
There are infinite solutions because there is always another number between any two numbers.
Step-by-step explanation:
HELP ME PLZZZZZZ
ALL OF THEM
thx for the help :)
Answers
1. 9/4
2.67/8
3.17/6
4.9/2
5.16/3
6.127/12
7.37/4
8.31/6
9.40/6
10.73/7
11.34/3
12.41/2
b)67/8
c)17/6
d)9/2
e)16/3
f)127/12
g)37/4
h)41/6
i)47/6
j)73/7
k)34/3
l)41/2
In Part C, you determined that the proper ratio of packages of buns, packages of patties, and jars of pickles is 3:2:4. If you want to feed at least 420 people, but also maintain the proper ratio, what minimum number of packages of buns, packages of patties, and jars of pickles do you need, respectively
Answers
Answer:
packages of buns = 1,260
packages of patties = 840
Jars of pickles = 1,680
Step-by-step explanation:
packages of buns = 3
packages of patties = 2
Jars of pickles = 4
Number of people = 420
Each person of the 420 people gets packages of buns, packages of patties, and jars of pickles in the ratio 3:2:4
packages of buns needed for 420 people = 3 × 420
= 1,260
packages of patties needed for 420 people = 2 × 420
= 840
Jars of pickles needed for 420 people = 4 × 420
= 1,680
packages of buns = 1,260
packages of patties = 840
Jars of pickles = 1,680
To feed at least 420 people minimum number of packages of buns, packages of patties, and jars of pickles needed is 1,260, 840, 1,680 respectively.
Select the correct answer from each drop-down menu.
Brian has started to invest in the stock market. What does he need to know about reporting dividend income on his tax return?
A taxpayer’s dividend income is reported on Form
. The taxpayer must enter this amount in the
section of a tax return. After all deductions have been subtracted, the amount of taxes due will be calculated based on the
.
Answers
Im not sure about the second one but the first one is 1099-DIV and the last one is taxable income. I can tell you the second one is NOT deductions haha
Answer:
1099-DIV
Income
Taxable Income
Step-by-step explanation:
Plato
A cuántos metros equivalen 92 kilómetros?
Answers
Answer:
92000
Step-by-step explanation:
Answer:
92,000
Step-by-step explanation:
1 km=1000 m
So 1 km×92= 92 km
But 1000 m×92= 92,000 m
when multiplying or dividing by a negative coefficient, you must flip the sign.
•True
or
•False
Answers
Answer:
I think the answer is True!
Step-by-step explanation:
Hope this helps
Answer:
true
Step-by-step explanation:
a negative times a negative is a positive same with dividing a negative by a negative
a positive times a negative is also negative
Answer the question plz
Answers
Step-by-step explanation:
58 i think....................
Answer:
Ignore my handwriting and your answer is 58;)
divide 49 ÷ 8 = and show your work
Answers
Answer:
6
Step-by-step explanation:
Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (6) by the divisor 8 . Subtract 48 from 48 . The result of division of 48÷8 48 ÷ 8 is 6
The required, 49 divided by 8 gives 6 as the quotient and 1 as the remainder.
To divide 49 by 8, you can use long division to find the quotient.
Determine how many times the divisor (8) can fit into the new number (49). In this case, 8 goes into 49 six times. Subtract the result (48) from the number you brought down (49). 49 - 48 = 1. Write the result (1) below the line.
6
_______
8 | 49
- 48 (8 times 6)
______
1 (Remaining 1 after subtracting)
Therefore, 49 divided by 8 gives 6 as the quotient and 1 as the remainder.
Learn more about divide here:
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Find the missing value
Answers
Answer:i think it would be 349
Step-by-step explanation:
Add the 3 numbers that you know.
Multiply the mean of 73 by 5 (numbers you have).
Add the numbers you are given.
Subtract the sum you have from the total sum to find your missing number.
What is The least common denominator of 11/12, 7/9, and 2/3
Answers
Answer:
261?
Step-by-step explanation:
LCD = 261
Equivalent Fractions with the LCD
11/29 = 99/261
7/9 = 203/261
2/3 = 174/261
y=7/x, x≠0 need the graph answer!!
Answers
Answer:
so the first picture is it graphed without solving it and the second graph is the answer to it graphed
Step-by-step explanation:
Witch triangle o be an acute angle
Answers
Answer:
An acute triangle
Step-by-step explanation:
A triangle that is 47°
An experiment consists of first rolling a die and then tossing a coin. (a) List the sample space. {(3, H), (4, H)} {(1, T), (2, T), (3, T), (4, T), (5, T), (6, T)} {(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)} {(3, H), (3, T), (4, H), (4, T)} {(1, H), (2, H), (3, H), (4, H), (5, H), (6, H)} (b) Let A be the event that either a three or a four is rolled first, followed by landing a head on the coin toss. Find P(A). (Enter your probability as a fraction.)
Answers
Answer:
(a)
[tex]S = \{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}[/tex]
(b)
[tex]P(A) = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
The above sample space
A = Event of an occurrence of 3 or 4 then a head
(a): List out the sample space:
The rolls of the dice come first, followed by the toss of the coin.
So, the sample space are:
[tex]S = \{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}[/tex]
The number of the sample space is:
[tex]n(S) = 12[/tex]
(b): Find P(A)
First, we list out the outcomes of event A
[tex]A = \{(3,H),(4,H)\}[/tex]
The number of outcome is:
[tex]n(A) = 2[/tex]
The probability of A is then calculated as:
[tex]P(A) = \frac{n(A)}{n(S)}[/tex]
[tex]P(A) = \frac{2}{12}[/tex]
Simplify fraction
[tex]P(A) = \frac{1}{6}[/tex]
The table below shows the number of miles Alan biked over time. Alan biked at a constant speed. Find the rate of change.
Answers
n
The Federal Reserve
manages the nation's currency and money supply by
manipulating interest rates and acting as a lender to banks.
overseeing bank collections and payments on loans.
dictating criteria and setting loan terms for banks.
offering investment advice and adjusting interest rates.
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Financials.
Hence,according to the statement given above, the correct answer is
option 1.)
===> Manipulating interest rates and acting as a lender to the banks.
simplify 6+8/2x{-3}+7
Answers
Answer:
6+8/2×-3+7
6+4×4
6+16
22
Complete the following statement about the Empirical Rule.
According to the Empiricalâ Rule, if a distribution isâ bell-shaped, then approximately _______________ of the data will lie within 1 standard deviation of theâ mean; approximately ____________ 95% 99.7% 68% of the data will lie within 2 standard deviations of theâ mean; approximately ______________ 68% 95% 99.7% of the data will lie within 3 standard deviations of the mean.
Answers
Answer:
1. 68%
2. 95%
3. 99.7
Step-by-step explanation:
Standard deviation of mean will be 68%, 95%, and 99.73% respectively.
What is Empirical Rule?A statistical rule known as the empirical rule, which is also known as the three-sigma rule or the 68-95-99.7 rule, states that almost all observed data for a normal distribution will be within three standard deviations of the mean or average.
Given according to the empirical rule, 68% of observations will fall within the first standard deviation (µ ± σ), 95% will fall within the first two standard deviations (µ ± 2σ), and 99.7% will fall within the first three standard deviations(µ ± 3σ) .
Hence SD of mean will be 68%, 95%, and 99.73%
Learn more about Empirical Rule;
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2) The sum of 5x and 2x is at least 14
A.
5x + 2x > 14
B.
5x + 2x < 14
C.
5x + 2x ≤ 14
D.
5x + 2x ≥ 14
Answers
Answer:
b
Step-by-step explanation:
if it is less than 14 then the big side of the arrow would be facing the 14
Answer:
Step-by-step explanation:
5x + 2x > 14= x>2
5x + 2x < 14= x<2
5x + 2x ≤ 14= x≤2
5x + 2x ≥ 14= x≥2
88=66+7-5x89 this question makes no scence
Answers
Answer:
x = -3/89
Step-by-step explanation: