Foggy​ Optics, Inc. makes laboratory microscopes. Setting up each production run costs $2500.Insurance​ costs, based on the average number of microscopes in the​ warehouse, amount to $20 per microscope per year. Storage​ costs, based on the maximum number of microscopes in the​ warehouse, amount to $15 per microscope per year. Suppose that the company expects to sell 1600 microscopes at a fairly uniform rate throughout the year. Determine the number of production runs that will minimize the overall expenses for the company.

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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Foggy​ Optics, Inc. makes laboratory microscopes. Setting up each production run costs $2500.Insurance​ costs, based on the average number of microscopes in the​ warehouse, amount to $20 per microscope per year. Storage​ costs, based on the maximum number of microscopes in the​ warehouse, amount to $15 per microscope per year. Suppose that the company expects to sell 1600 microscopes at a fairly uniform rate throughout the year. Determine the number of production runs that will minimize the overall expenses for the company.

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