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
iragen [17]
3 years ago
7

79. Revenue. The revenue (in dollars) from the sale of x infant car seats is given by R1x2 = 60x - 0.025x2 0 ... X ... 2,400 (A)

Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (B) Use the four-step process to find R′1x2. (C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and write a brief verbal interpretation of these results.
Mathematics
1 answer:
sineoko [7]3 years ago
7 0

Question:

59 Revenue. The revenue (in dollars) from the sale of x infant car seats for infants is given by

R(x) =60·x - 0.025·x² 0 ≤ x ≤ 2400

(A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats.

(B) Use the four-step process to find

(C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and write a brief verbal interpretation of these results

Answer:

(A) $437.5

(B) R'(x) = 60 - 0.05·x

(C) $10

Step-by-step explanation:

(A) Here we have the change in revenue when production is increased from 1,000 car seats to 1,050 car seats is given as follows;

R(1050) - R(1000) = 60×1050 - 0.025×1050² - (60×1000 - 0.025×1000²)

R(1050) - R(1000) = 63000 - 27562.5 - 35000 = $437.5

(B) R'(x) is given by

Step 1. R(x + h) = 60·(x+h) - 0.025·(x+h)²

Step 2  R(x + h) - R(x) = 60·(x+h) - 0.025·(x+h)² -  60·x - 0.025·x² = -\frac{h^2+(2x-2400)h}{40}

Step 3

\frac{R(x+h)- R(x)}{h} = -\frac{h^2+(2x-2400)h}{40 \times h} = -\frac{h +2x - 2400}{40}

Step 4

\lim_{h \to 0}  \frac{R(x+h)- R(x)}{h} =  \lim_{h \to 0} -\frac{ h +2x - 2400}{40}

∴  R'(x) = 60 - 0.05·x

(c) The revenue at a production level of 1000 car seats is

R(1000) = (60×1000 - 0.025×1000²) = $35,000

The instantaneous rate of change of revenue is given as follows

R'(x) = 60 - 0.05·x = 60 - 0.05×1000 = $10.

You might be interested in
Solve for all values of x by factoring. x^2-25= x 2 â’25= 0
lozanna [386]

Answer:

x = ± 5

Step-by-step explanation:

x² - 25 = 0 ( add 25 to both sides )

x² = 25 ( take square root of both sides )

x = ± \sqrt{25} = ± 5

That is x = - 5, x = 5

6 0
3 years ago
Jasmine starts rock climbing at an elevation of -100 feet and rock climbs up to an elevation of 40 feet. What was Jasmine's chan
Harman [31]

Answer: -100 + x = 40

Step-by-step explanation: We know she starts at -100 feet, she is increasing in elevation, so we want to add a positive x to her initial value of -100. If we keeping adding that x, it will soon result in a positive value of 40.

8 0
2 years ago
Find the lateral area of this square<br> based pyramid.<br> 10<br> ft<br> 10 ft<br> [ ? jft?
german

Answer:

200. 200 200 200 200 200 is the answer

6 0
3 years ago
Read 2 more answers
Will mark Brainliest
Margarita [4]

Answer:

y 15 x 9 they are asking for there parallel so go with the line directly across from them

4 0
2 years ago
Read 2 more answers
Q3.
s344n2d4d5 [400]

Answer:

F:13

Both S and F= 20

S:23

Dont study:4

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Do you have any tips or advice, how to do well or better at math? Because I struggle at math and I don't do we'll at it... ​
    5·2 answers
  • Hi please somebody help me
    12·1 answer
  • A city's grower ships grapefruit in boxes of 10 one season the grower shipped 20,400 boxes of grapefruit how many were shipped
    14·1 answer
  • Use the distributive property to simplify this expression for a parentheses 4(12 + 5)​
    12·1 answer
  • Mr. Allen needs to store his boat for winter. He needs to fill the gas tank and put fuel preserver in the tank. The fuel tank ho
    6·1 answer
  • Find two numbers that have a sum of -2 and a product of -48 (please show work if possible)​
    5·1 answer
  • Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.what is the solution s
    5·1 answer
  • I need help ASAP PLEASE PLEASE HELP
    11·1 answer
  • Complete the table for y= -x-2
    12·1 answer
  • When a person convicted of a crime appeals a conviction, he or she asks a higher court to examine the trial court's decisions to
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!