Consider the cost function C(x) = 182 +56x and the revenue function R(x) = 256x50x², where x ≥ 0. Disregard the units of the cost and revenue functions. 1. Find the formula for the profit. P(x)= 2. Find the maximum profit: 3. Give the value of a where this maximum profit occurs. Type your answer here
Consider the cost function C(x) = 182 +56x and the revenue function R(x) = 256x50x², where x ≥ 0. Disregard the units of the cost and revenue functions. 1. Find the formula for the profit. P(x)= 2. Find the maximum profit: 3. Give the value of a where this maximum profit occurs. Type your answer here
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Consider the cost function \( C(x) = 182 + 56x \) and the revenue function \( R(x) = 256x - 50x^2 \), where \( x \geq 0 \). Disregard the units of the cost and revenue functions.
1. Find the formula for the profit. \( P(x) = \) [Blank space for answer]
2. Find the maximum profit: [Blank space for answer]
3. Give the value of \( x \) where this maximum profit occurs. Type your answer here [Blank space for answer].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4879982-7bbd-420e-b7e0-63c24befc0ac%2F36aab000-4178-4578-aa30-6dfa42a82974%2Fwvz1gyk_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the cost function \( C(x) = 182 + 56x \) and the revenue function \( R(x) = 256x - 50x^2 \), where \( x \geq 0 \). Disregard the units of the cost and revenue functions.
1. Find the formula for the profit. \( P(x) = \) [Blank space for answer]
2. Find the maximum profit: [Blank space for answer]
3. Give the value of \( x \) where this maximum profit occurs. Type your answer here [Blank space for answer].
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