Suppose that the cost (in dollars) for a company to produce a pairs of a new line of jeans isC(x) = 6000 + 3x +.01x2 +.0002x³(a) Find the marginal cost function.(b) Find C'(100). (What does this mean?)(c) Find the cost of manufacturing the 101st pair of jeans.(a) C'(x) =(b) C'(100):(c) Cost = dollarsdollars/pair

Let's find marginal cost. Cost function is given.

Answered: Suppose that the cost (in dollars) for…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter3: Linear And Nonlinear Functions

Section: Chapter Questions

Problem 26MCQ

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At what point on the graph of fx=-5x2+4x-2 is the slope of the tangent line 6?
Explain the relationship between the slope and the derivative of fx at x=a.
Suppose total cost in dollars from the production of x printers is given byC(x) = 0.0001x3 + 0.005x2 + 28x + 3000.(a) Find the average rate of change of total cost when production changes from 100 to 200 printers.(b) Find the average rate of change of total cost when production changes from 200 to 500 printers.(c) Interpret the results from parts (a) and (b).
Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 + 0.005x2 + 28x + 3000 (a) Find the average rate of change of total cost when production changes from 100 to 500 printers. (b) Find the average rate of change of total cost when production changes from 500 to 700 printers.
Find the slope of the graph of the function f(x)=(-5x – 4)² at x = 3. a. f'(x)=-38 b. f'(x)=95 c. f'(x)=-13,718 d. f'(x)=110 e. f'(x)=190
Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 + 0.005x? + 28x + 3000. (a) Find the average rate of change of total cost when production changes from 200 to 300 printers. (b) Find the average rate of change of total cost when production changes from 300 to 700 printers. (c) Interpret the results from parts (a) and (b). O The average rate of change of price per printer is greater when 200 to 300 printers are produced. The average rates of change of total cost of production are equal. The average rate of change of price per printer is greater when 300 to 700 printers are produced. The average rate of change of total cost of production is greater when 200 to 300 printers are produced. The average rate of change of total cost of production is greater when 300 to 700 printers are produced.
The total cost (in dollars) of producing x golf clubs per day is given by the formula C(x) = 450 + 100x – 0.6x2. (A) Find the marginal cost at a production level of x golf clubs. C'(x) = (B) Find the marginal cost of producing 35 golf clubs. Marginal cost for 35 clubs =
Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x³ + 0.005x² + 28x + 3000. (a) Find the average rate of change of total cost when production changes from 100 to 200 printers. (b) Find the average rate of change of total cost when production changes from 200 to 600 printers. (c) Interpret the results from parts (a) and (b). O The average rates of change of total cost of production are equal. The average rate of change of total cost of production is greater when 200 to 600 printers are produced. The average rate of change of total cost of production is greater when 100 to 200 printers are produced. O The average rate of change of price per printer is greater when 100 to 200 printers are produced. O The average rate of change of price per printer is greater when 200 to 600 printers are produced.
Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 + 0.005x? + 28x + 3000. (a) Find the average rate of change of total cost when production changes from 300 to 400 printers. 22 (b) Find the average rate of change of total cost when production changes from 400 to 500 printers. 28 (c) Interpret the results from parts (a) and (b). The average rate of change of total cost of production is greater when 400 to 500 printers are produced. The average rate of change of price per printer is greater when 300 to 400 printers are produced. The average rate of change of total cost of production is greater when 300 to 400 printers are produced. The average rates of change of total cost of production are equal. The average rate of change of price per printer is greater when 400 to 500 printers are produced.
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