A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let x1 and x2 be the numbers of units produced at the two locations. The cost function is modeled by C = 0.25x12 + 25x1 + 0.05x22 + 48x2. Find the number of units that should be produced at each location to minimize the cost. X1 = units X2 = units

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 an order for 1000 units of fine paper that can be produced at two locations. Let X1 and xɔ be the numbers of units produced at the two locations. The cost function is modeled by
C = 0.25x12 + 25×1 + 0.05x2² + 48x2.
Find the number of units that should be produced at each location to minimize the cost.
X1 =
units
X2 =
units
Transcribed Image Text:A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let X1 and xɔ be the numbers of units produced at the two locations. The cost function is modeled by C = 0.25x12 + 25×1 + 0.05x2² + 48x2. Find the number of units that should be produced at each location to minimize the cost. X1 = units X2 = units
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