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Find the optimum number of batches (to the nearest whole number) of an item that should be produced annually (in order to minimize cost) if 300,000 units are to be made, it costs $4 to store a unit for one year, and it costs $300 to set up the factory to produce each batch.

Find the optimum number of batches (to the nearest whole number) of an item that should be produced annually (in order to minimize cost) if 300,000 units are to be made, it costs $4 to store a unit for one year, and it costs $300 to set up the factory to produce each batch.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 29E
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Find the optimum number of batches (to the nearest whole number) of an item that should be produced annually (in order to minimize cost) if 300,000 units are to be made, it costs $4 to store a unit for one year, and it costs $300 to set up the factory to produce each batch.

 

 

 

A. 32 batches

 

 

 

B 47 batches

 

 

 

C. 34 batches

 

 

 

D. 45 batches

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