Given the cost function for a product:C(q) = -0.00932q + 0.196q? + 1.43q + 36,at what level of production will their costs be increasing the fastest? (Answers arerounded.)a) 2b) 7c) 3.5d) It does not exist

Answered: Given the cost function for a product:…

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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A supply company charges for 90-liter drums using the demand function p(x)=20.9−1.6x What is the revenue function?
A manufacturer of T-shirts has fixed costs of $3300 per month. These are monthly costs that are incurred no matter how many T-shirts are produced. There are variable costs of $8 per T-shirt. That is, it costs $8 to produce each additional T-shirt. T-shirts sell for $10 each. (a) The cost function gives the cost C, in dollars, of producing t T-shirts per month. Find a formula for the cost function. 8t+3300 (b) The revenue function gives the revenue R, in dollars, obtained from selling t T-shirts. Find a formula for the revenue function. (c) The break-even point is the number of T-shirts produced and sold that results in a net income of 0 dollars. That is when cost equals revenue. Find the break-even point for this manufacturer.
It costs Joanna $17,000 to open her new shoe store and then $23 for each pair of shoes she stocks. Joanna decides to charge her customers $45 per pair of shoes. a) What is her Cost Function? b) What is her Revenue Function? c) What is her Profit Function? d) What is her Break-Even Point? (a) Joanna's Cost Function is C(x) = (Do not include the $ symbol in your answer.) (b) Joanna's Revenue Function is R(x) = . (Do not include the $ symbol in your answer.) (c) Joanna's Profit Function is P(x) = (Simplify your answer. Do not include the $ symbol in your answer.) (d) Joanna's Break-Even Point is pairs of shoes. (Type a whole number.)

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Given the cost function for a product: C(q) = -0.00932q + 0.196q? + 1.43q + 36, at what level of production will their costs be increasing the fastest? (Answers are rounded.) a) 2 b) 7 c) 3.5 d) It does not exist