Question

Let $R(x)$ be the revenue and $C(x)$ be the cost from manufacturing $x$ items. Profit is defined as $P(x)=R(x)-C(x)$ (a) Show that at the value of $x$ that maximizes profit, marginal revenue equals marginal cost. (b) Find the maximum profit if $R(x)=10 x-0.001 x^{2}$ dollars and $C(x)=2 x+5000$ dollars.

Name: Let R(x) be the revenue and C(x) be the cost from manufacturing x items. Profit is defined as P(x)=R(x)-C(x) (a) Show that at the value of x that maximizes profit, marginal revenue equals marginal cost. (b) Find the maximum profit if R(x)=10 x-0.001 x^2 dollars and C(x)=2 x+5000 dollars.
Uploaded: 2023-07-18T16:17:22-08:00
Duration: 1 min 32 s
Channel: Adi S
Description: Let R(x) be the revenue and C(x) be the cost from manufacturing x items. Profit is defined as P(x)=R(x)-C(x) (a) Show that at the value of x that maximizes profit, marginal revenue equals marginal cost. (b) Find the maximum profit if R(x)=10 x-0.001 x^2 dollars and C(x)=2 x+5000 dollars.

          Let $R(x)$ be the revenue and $C(x)$ be the cost from manufacturing $x$ items. Profit is defined as $P(x)=R(x)-C(x)$ (a) Show that at the value of $x$ that maximizes profit, marginal revenue equals marginal cost. (b) Find the maximum profit if $R(x)=10 x-0.001 x^{2}$ dollars and $C(x)=2 x+5000$ dollars.

Added by Angela B.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Adi S

07/18/2023

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Let $R(x)$ be the revenue and $C(x)$ be the cost from manufacturing $x$ items. Profit is defined as $P(x)=R(x)-C(x)$ (a) Show that at the value of $x$ that maximizes profit, marginal revenue equals marginal cost. (b) Find the maximum profit if $R(x)=10 x-0.001 x^{2}$ dollars and $C(x)=2 x+5000$ dollars.