A firm has two plants, X and Y. Suppose that the cost of producing x units at plant X is x^2 + 12000 dollars and the cost of producing y units of the same product at plant Y is given by 3y^2 + 800 dollars. If the firm has an order for 1200 units, how many should it produce at each plant to fill this order and minimize the cost of production (use Lagrange multiplier)?

A firm has two plants, X and Y. Suppose that the cost of producing x units at plant X is x^2 + 12000 dollars and the cost of producing y units of the same product at plant Y is given by 3y^2 + 800 dollars. If the firm has an order for 1200 units, how many should it produce at each plant to fill this order and minimize the cost of production (use Lagrange multiplier)?

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

Problem 37CR

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