Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans isC(x) = 1,500 + 5x + 0.02x2 + 0.0003x3.(a) Find the marginal cost function.c'(x) = 0.0009x² + 0.04x + 5(b) Find C'(100).57What does it predict?O It predicts the cost difference between the 100th and 101st pair.O It predicts the tax of the 100th pair.O It predicts the approximate cost of the 100th pair.O It predicts the approximate cost of the 101st pair.O It predicts the cost of 1,500 pairs.(c) Find the actual cost of manufacturing the 101st pair of jeans. (Round your answer to two decimal places.)$ 1947.51

Answered: Image /qna-images/answer/597fc847-f65b-484d-a247-3cc85f12ab1b.jpg

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

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Similar questions

a cost function is given by c(x)=200e^-0.5x. Calculate teh marginal cost when x=3
Find the marginal profit at x=6
2. The BrenKev Corporation has determined that its marginal profit function is given by P'(t) = 2te^(0.2t) where t is time in years and P'(t) is in millions of dollars per year. Assuming that P(0) = 0, determine P(t).
Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.007x^3+0.07x^2+15x+600, and currently 70 chairs are produced monthly. a) What is the current monthly cost? b) What is the marginal cost when x=70? c) Use the result from part (b) to estimate the monthly cost of increasing production to 72 chairs per month. d) What would be the actual additional monthly cost of increasing production to 72 chairs monthly?
Market research for a certain ice cream company indicates that if the price per cup of ice cream is $50.00, the demand will be 1200 cups, whereas if the price is increased to $60.00, the demand will be 1100 cups. Now, suppose it is known that the total cost of production of x cups of ice cream is given by C(x) = 3x + 25,500. (A) Find the value(s) of x at the break-even points. (B) Use marginal analysis to approximate the profit from the sale of the 500th cup of ice cream. Compare this value with the exact profit from the sale of the 500th cup.
the marginal cost function associated with producing x widgets is given by C'(x)= -0.02x+50 where C'(x) is measured in dollars/unit and x denotes the number of widgets. if the fixed costs incurred in the production is $600, find the total cost C(x) in producing the first 100 units
If the revenue function for a certain commodity is R(x) = 45x/lnx compute the marginal revenue when x = 40.
The cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their marketing staff to be given by the formula C(x) = 100 + 41x − 0.04x2. (a) Find the marginal cost function C'(x). C'(x) = ___________ Use it to determine how fast the cost is going up (in $) at a production level of 100 teddy bears. $ ________ per teddy bear Compare this with the exact cost of producing the 101st teddy bear (in $). The cost is increasing at a rate of $ _____ per teddy bear. The exact cost of producing the 101st teddy bear is $ ________ . Thus, there is a difference of $ ___________ . (b)Find the average cost function C, and evaluate C(100) (in $). C(x)= _______ C(100) = $ ______ per teddy bear What does the answer tell you? The average cost of producing the first hundred teddy bears is $ _________ per teddy bear.

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