A company needs to package 7,560 beads. A wooden container shaped like a rectangular prism can hold 180 beads. A plastic cylindrical container can hold 126 beads. The wooden container costs the company $0.70, while the plastic container costs $0.40.

Which container should the company use to minimize cost? Explain.

AThe wooden containers should be used because it will cost $5.40 more to use the plastic containers.

BThe plastic containers should be used because it will cost $5.40 more to use the wooden containers.

C.The wooden containers should be used because it will cost $16.20 more to use the plastic containers.

D.The plastic containers should be used because it will cost $16.20 more to use the wooden containers.

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ewomazinoade ewomazinoade · Answer 2 · 2022-03-23T11:42:57-04:00

The container the company should choose is the plastic containers because it will cost $5.40 more to use the wooden containers.

What container would minimise cost?

The first step is to determine the number of each box needed to to package the beads.

Number of wooden container needed = 7560 / 180 = 42

Number of plastic cylindrical container needed = 7560 / 126 = 60

Now determine the cost of each type of box.

Cost of the wooden containers = 42 x 0.7 = $29.40

Cost of the plastic cylindrical container = $0.4 x 60 = $24

The plastic cylindrical container is cheaper and would minimise cost.

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