11. A company that manufactures ski jackets estimates that their fixed costs are $21,900 and variable $24 per jacket. A survey indicates that a price of $140 results in a demand of demand of 300 jackets a price of $100 will result in a demand of 500 jackets. a) Find the price-demand equation assuming a linear relationship b) Find the revenue function and determine the domain its domain using the price-demand equatic c) Find the total cost function d) Find the profit function and the marginal profit function e) Evaluate the marginal profit at production levels of 300 and 600 jackets and interpret your resul specific about quantities units and increasing/decreasing

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 13T
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11. A company that manufactures ski jackets estimates that their fixed costs are $21,900 and variable costs of
$24 per jacket. A survey indicates that a price of $140 results in a demand of demand of 300 jackets and that a
price of $100 will result in a demand of 500 jackets.
a) Find the price-demand equation assuming a linear relationship
b) Find the revenue function and determine the domain its domain using the price-demand equation
c) Find the total cost function
d) Find the profit function and the marginal profit function
e) Evaluate the marginal profit at production levels of 300 and 600 jackets and interpret your result being
specific about quantities, units, and increasing/decreasing
f) Determine the break-even points
Transcribed Image Text:11. A company that manufactures ski jackets estimates that their fixed costs are $21,900 and variable costs of $24 per jacket. A survey indicates that a price of $140 results in a demand of demand of 300 jackets and that a price of $100 will result in a demand of 500 jackets. a) Find the price-demand equation assuming a linear relationship b) Find the revenue function and determine the domain its domain using the price-demand equation c) Find the total cost function d) Find the profit function and the marginal profit function e) Evaluate the marginal profit at production levels of 300 and 600 jackets and interpret your result being specific about quantities, units, and increasing/decreasing f) Determine the break-even points
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