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

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
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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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