Consider the cost function C(x) = = +2x² +x 133 R(x) = 2x² + 2x, where x ≥0. Disregards the units of the cost and revenue functions. 1. Find the minimum marginal cost: x³ 3 2. Give the value of where this minimum marginal cost occurs. Type your answer here 3. Find the formula for the profit. P(x)= 3. Find the maximum profit: and the revenue function 4. Give the value of where this maximum profit occurs. Type your answer here

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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1
Consider the cost function C(x)
+2x² + x
and the revenue function
3
R(x) = 2x² + 2x, where x ≥0. Disregards the units of the cost and revenue functions.
=
1. Find the minimum marginal cost:
x³
3
2. Give the value of where this minimum marginal cost occurs. Type your answer here
3. Find the maximum profit:
3. Find the formula for the profit. P(x)=
4. Give the value of where this maximum profit occurs. Type your answer here
Transcribed Image Text:1 Consider the cost function C(x) +2x² + x and the revenue function 3 R(x) = 2x² + 2x, where x ≥0. Disregards the units of the cost and revenue functions. = 1. Find the minimum marginal cost: x³ 3 2. Give the value of where this minimum marginal cost occurs. Type your answer here 3. Find the maximum profit: 3. Find the formula for the profit. P(x)= 4. Give the value of where this maximum profit occurs. Type your answer here
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