Answered: An online retailer requires three…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....

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An online retailer requires three different size containers to package its products for shipment. The costs of these containers A, B, and C, and their capacities are shown as follows:

Container A B C

Cost ($ each) 4 6 7

Capacity (cu in) 200 400 600

If the retailer orders 2500 containers with a total capacity of 1,100,000 cu in at a cost of $15,000, how many of each are in the order?

Expert Solution

Step 1

Let $x, y$ and $z$ be the number of containers ordered for the items $A, B$ and $C$ respectively.

The total number of container ordered is:

$2500$

Hence,

$x + y + z = 2500$ ...(1)

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