a company needs to package 2,400 pencils. a box in the shape of a rectangular prism can hold 60 pencils. a…

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.\nwhich packaging should the company use to minimize cost? explain.\nthe rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.\nthe cylindrical containers should be used because they will cost the company $2.50 less than using the rectangular boxes.\nthe rectangular prism boxes should be used because they will cost the company $5.00 less than using the cylindrical containers.\nthe cylindrical containers should be used because they will cost the company $5.00 less than using the rectangular boxes.

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.\nwhich packaging should the company use to minimize cost? explain.\nthe rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.\nthe cylindrical containers should be used because they will cost the company $2.50 less than using the rectangular boxes.\nthe rectangular prism boxes should be used because they will cost the company $5.00 less than using the cylindrical containers.\nthe cylindrical containers should be used because they will cost the company $5.00 less than using the rectangular boxes.

Answer

Answer:

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

Explanation:

Step1: Calculate number of rectangular - prism boxes

Number of boxes = $\frac{2400}{60}=40$

Step2: Calculate cost of rectangular - prism boxes

Cost of boxes = $40\times0.50 = 20$ dollars

Step3: Calculate number of cylindrical containers

Number of containers = $\frac{2400}{80}=30$

Step4: Calculate cost of cylindrical containers

Cost of containers = $30\times0.75 = 22.5$ dollars

Step5: Calculate cost difference

Difference = $22.5 - 20=2.5$ dollars. Since the cost of rectangular - prism boxes is less, they should be used.