The revenue and cost functions for a particular product are given below. The cost and revenue are given in dollars, and x represents the number of units . R(x) = -0.25x2 215x C(x) = 100x + 12918.75 (a) How many items must be sold to maximize the revenue? (b) What is the maximum revenue? (c) Find the profit function P(x) (d) How many items must be sold to maximize the profit? (e) What is the maximum profit? (f) At what production level(s) will the company break even on this product? (Enter your answers as a comma-separated list.) units

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
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The revenue and cost functions for a particular product are given below. The cost and revenue are given in dollars, and x represents the number of units .
R(x) = -0.25x2 215x
C(x) = 100x + 12918.75
(a) How many items must be sold to maximize the revenue?
(b) What is the maximum revenue?
(c) Find the profit function
P(x)
(d) How many items must be sold to maximize the profit?
(e) What is the maximum profit?
(f) At what production level(s) will the company break even on this product? (Enter your answers as a comma-separated list.)
units
Transcribed Image Text:The revenue and cost functions for a particular product are given below. The cost and revenue are given in dollars, and x represents the number of units . R(x) = -0.25x2 215x C(x) = 100x + 12918.75 (a) How many items must be sold to maximize the revenue? (b) What is the maximum revenue? (c) Find the profit function P(x) (d) How many items must be sold to maximize the profit? (e) What is the maximum profit? (f) At what production level(s) will the company break even on this product? (Enter your answers as a comma-separated list.) units
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