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QuizMultiple Choice

Density and Design Problems — Quiz

Question 1 • Mathematics III

A company needs to package 7 comma 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 point 7 0 dollars , while the plastic container costs 0 point 4 0 dollars Which container should the company use to minimize cost? Explain.

Answer
A
The plastic containers should be used because it will cost 16 point 2 0 dollars more to use the wooden containers.
B
The wooden containers should be used because it will cost 16 point 2 0 dollars more to use the plastic containers.
C
The plastic containers should be used because it will cost 5 point 4 0 dollars more to use the wooden containers.
D
The wooden containers should be used because it will cost 5 point 4 0 dollars more to use the plastic containers.

Explanation

The wooden containers require 7,560 ÷ 180 = 42 containers, costing 42 × $0.70 = $29.40. The plastic containers require 7,560 ÷ 126 = 60 containers, costing 60 × $0.40 = $24.00. Plastic costs $29.40 − $24.00 = $5.40 less, so the plastic containers should be used; this matches choice C.

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