WhatYouNeed is an online retailer with operations in Northern Indiana. Their network includes five big warehouses. All of the warehouses are fully automated: packaging is performed by robots on top of electric conveyors. Although the company has saved a lot in labor costs by the use of this packaging line, it has resulted in some excessive waste of material. After some analysis of this waste issue, the company has discovered that the number of product types that are assigned to the packaging line is strongly correlated with the amount of wasted material. Based on this insight, their operations manager has built a mathematical expression that estimates the expected amount of waste from the packaging line as a function of the number of product types in it. The expression is as follows: W = (n-93)2 – (n-88) + 227 In this expression, n is the number of product types you are packing on the line and W is the hourly waste of packaging material (in lbs). Based on this expression, how much will the facility waste be if you assign 5 types of products to a packaging line? 7888 lbs 227 lbs 8054 lbs 0 lbs

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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WhatYouNeed is an online retailer with operations in Northern Indiana. Their network includes five big warehouses. All of the warehouses are fully automated: packaging is performed by robots on top of electric conveyors. Although the company has saved a lot in labor costs by the use of this packaging line, it has resulted in some excessive waste of material.

After some analysis of this waste issue, the company has discovered that the number of product types that are assigned to the packaging line is strongly correlated with the amount of wasted material. Based on this insight, their operations manager has built a mathematical expression that estimates the expected amount of waste from the packaging line as a function of the number of product types in it.

The expression is as follows:

W = (n-93)2 – (n-88) + 227

In this expression, n is the number of product types you are packing on the line and W is the hourly waste of packaging material (in lbs).

Based on this expression, how much will the facility waste be if you assign 5 types of products to a packaging line?

7888 lbs

227 lbs

8054 lbs

0 lbs

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