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?

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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Section9.1: Prisms, Area And Volume
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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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