Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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**Problem:**

A commodity has a demand function modeled by \( p = 128 - 0.5x \) and a total cost function modeled by \( C = 50x + 35.75 \), where \( x \) is the number of units.

(a) What unit price (in dollars) yields a maximum profit?

$ \_\_\_\_\_\_\_\_ \text{ per unit}

(b) When the profit is maximized, what is the average cost (in dollars) per unit? (Round your answer to two decimal places.)

$ \_\_\_\_\_\_\_\_ \text{ per unit}
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Transcribed Image Text:**Problem:** A commodity has a demand function modeled by \( p = 128 - 0.5x \) and a total cost function modeled by \( C = 50x + 35.75 \), where \( x \) is the number of units. (a) What unit price (in dollars) yields a maximum profit? $ \_\_\_\_\_\_\_\_ \text{ per unit} (b) When the profit is maximized, what is the average cost (in dollars) per unit? (Round your answer to two decimal places.) $ \_\_\_\_\_\_\_\_ \text{ per unit}
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