A company needs to package 2,400 pencils. a box in the shape of a rectangular prism can hold 60 pencils. a cylindrical container can hold 80 pencils. each box costs the company $0.50, while each cylindrical container costs $0.75

Respuesta :

Answer:

a The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical container

Step-by-step explanation:

To minimize the cost, the packaging that should be used is the rectangular prism boxes.

How to solve the cost minimization?

From the complete information, the pencils needed is 2400. The prism can hold 60 pencils. Therefore, the number of prisms needed will be:

= 2400/60 = 40 prisms

The total cost for the prism will be:

= $0.50 × 40

= $20

The cylinder can hold 80 pencils. Therefore, the numbers needed will be:

= 2400/80

= 30

The cost of the cylinders will be:

= 30 × $0.75

= $22.50

Therefore, it implies that to minimize the cost, the packaging that should be used is the rectangular prism boxes.

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