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. The wooden containers should be used because it will cost $5. 40 more to use the plastic containers. The plastic containers should be used because it will cost $5. 40 more to use the wooden containers. The wooden containers should be used because it will cost $16. 20 more to use the plastic containers. The plastic containers should be used because it will cost $16. 20 more to use the wooden containers.

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26-04-2022
Business

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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. The wooden containers should be used because it will cost $5. 40 more to use the plastic containers. The plastic containers should be used because it will cost $5. 40 more to use the wooden containers. The wooden containers should be used because it will cost $16. 20 more to use the plastic containers. The plastic containers should be used because it will cost $16. 20 more to use the wooden containers.

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According to the information, it can be inferred that the best option for the company is to use plastic containers because it is $5.40 cheaper than wooden containers.

How to calculate the total value of each container?

To calculate the total value of each type of container we must do the following mathematical operations.

Calculate how many containers we need of each type. For this we divide the total number of beads in the capacity of each container:

7560 ÷ 180 = 42
7560 ÷ 126 = 60

Then we multiply the number of containers of each type by the value of each:

42 × $0.70 = $29.4
60 × $0.40 = $24

Finally we take the difference between both values to know which is cheaper and what is the difference with the other type of container.

$29.4 - $24 = $5.4

According to the above, the best option for this company is to transport the beads in the plastic container because it has a greater capacity and is $5.4 cheaper than the wooden container.

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