1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Verdich [7]
3 years ago
15

A car rental agency has 150 cars. The owner finds that at a price of $48 per day, he can rent all the cars. For each $2 increase

in price, the demand is less and 4 fewer cars are rented. For each car that is rented, there are routine maintenance costs of $5 per day. What rental charge will maximize profit?
Mathematics
1 answer:
hram777 [196]3 years ago
3 0
Given that for each <span>$2 increase in price, the demand is less and 4 fewer cars are rented.

Let x be the number of $2 increases in price, then the revenue from renting cars is given by
(48 + 2x) \times (150 - 4x)=7,200+108x-8x^2.

Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by
5(150-4x)=750-20x

Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>(7,200+108x-8x^2)-(750-20x)=6,450+128x-8x^2

For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>\frac{d}{dx} (6,450+128x-8x^2)=0 \\  \\ 128-16x=0 \\  \\ x= \frac{128}{16} =8

The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.

Therefore, the </span><span>rental charge will maximize profit is $64.</span>
You might be interested in
Blake brought 2 magazines for $4.95 each. If the sales tax was 6.75%, what was the total amount that he paid for the magazines?
Advocard [28]
4.95/6.75= .73 4.95+.73= $5.68
7 0
3 years ago
Read 2 more answers
Use information from Example 4 to write the equation in slope-intercept form. Find the x-intercept of the graph of the equation.
Debora [2.8K]

Answer:

in the morning and I will be in the right side of the day of the day of the day of the day of the day of the day of the day of the time of day I was going through this email is strictly prohibited from you have the opportunity of my favorite thing that is what it looks good and bad for a while ago but the best time I will have a good time to get the same time as well and that was what the issue and then you should receive

Step-by-step explanation:

3edesxssssaaaA dgrvrvrvr f. f f t t g g gbgbt. ytbT when hh mentoring Klemens in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning

6 0
3 years ago
-3x -4y = 20 x - 10y =16 if (x, y) is the solution to the system of equations above what is the value of x?
balu736 [363]
Multiply first equation by -5 and 2nd by 2, add them

15x+20y=-100
<u>2x-20y=32 +</u>
17x+0y=-68

17x=-68
divide both sides by 17
x=-4
 

the x value is -4
6 0
3 years ago
What x value solves this equation? 3x-5=1
horrorfan [7]

Answer:

x=2

Step-by-step explanation:

Add 5 to each side.

3x-5+5=1+5

3x=6

Divide each side by 3.

Your answer would be x=2.

3 0
3 years ago
Read 2 more answers
Which could be the function graphed below?
Sophie [7]
There’s nothing here lol
5 0
3 years ago
Read 2 more answers
Other questions:
  • Math help with triangles please help (15 points)
    6·1 answer
  • You roll a fair 6-sided die.
    5·1 answer
  • Help will give brainllest
    15·2 answers
  • Hi answer as fast as you can
    15·1 answer
  • For the following triangle, find the value of x. Please upload a picture of your
    7·1 answer
  • If ∠4 = 98°, then ∠3 = ?<br> look at image
    12·2 answers
  • Please help!<br> both questions
    11·1 answer
  • Solve for x: -7+x=-6
    15·1 answer
  • For which Inequality would x= 4.5 not be a solution?
    10·1 answer
  • HELPP A new scarf has a regular price of $26. It is on sale for $17. What percent discount is this?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!