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A manufacturer has discovered that if x units of a certain item are produced per week, the marginal cost is determined by C'(x) = x * e*/2 production cost and revenue are in thousands of pesos. If weekly fixed costs are $100, find the maximum weekly profit that can be made by producing x units of that item and the marginal revenue is determined by R'(x) = 10 * e*/2 where Hint: Find the revenue and cost functions separately and include the constant of integration only in the cost function . Remember that total costs are equal to fixed costs when the level of production is zero.

A manufacturer has discovered that if x units of a certain item are produced per week, the marginal cost is determined by C'(x) = x * e*/2 production cost and revenue are in thousands of pesos. If weekly fixed costs are $100, find the maximum weekly profit that can be made by producing x units of that item and the marginal revenue is determined by R'(x) = 10 * e*/2 where Hint: Find the revenue and cost functions separately and include the constant of integration only in the cost function . Remember that total costs are equal to fixed costs when the level of production is zero.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A manufacturer has discovered that if x units of a certain item are produced per week, the marginal cost is determined by C'(x) = x * e*/2 production cost and revenue are in thousands of pesos. If weekly fixed costs are $100, find the maximum weekly profit that can be made by producing x units of that item and the marginal revenue is determined by R'(x) = 10 * e*/2 where Hint: Find the revenue and cost functions separately and include the constant of integration only in the cost function . Remember that total costs are equal to fixed costs when the level of production is zero.
Transcribed Image Text:A manufacturer has discovered that if x units of a certain item are produced per week, the marginal cost is determined by C'(x) = x * e*/2 production cost and revenue are in thousands of pesos. If weekly fixed costs are $100, find the maximum weekly profit that can be made by producing x units of that item and the marginal revenue is determined by R'(x) = 10 * e*/2 where Hint: Find the revenue and cost functions separately and include the constant of integration only in the cost function . Remember that total costs are equal to fixed costs when the level of production is zero.
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