Question

The material used to make a storage box costs $1.25 per square foot. The boxes have the same volume, so how much does a company save by choosing to make 50 of Box 2 instead of Box 1?

Answer 1

$41.685

Explanation:

Given:-

- The material cost per square foot, C = $1.25

- The two boxes have the dimensions:

Box 1 : ( 9 x 9 x 10 ) in

Box 2: ( 11 x 7 x 10 ) in

Find:-

so how much does a company save by choosing to make 50 of Box 2 instead of Box 1?

Solution:-

- We will first determine the surface areas of the two boxes Box 1 ( A1 ) & Box 2 (A2).

A1 : 2*( 9*9) + 4*( 9*10) = 522 in^2 = 43.5 ft^2

A2 : 2*(11*7) + 2*(11*10) + 2*(7*10) = 514 in^2 = 42.833 ft^2

- Determine the cost for each box:

Cost of box 1 = A1*C = 43.5*$1.25 = $54.375

Cost of box 2 = A2*C = 42.833*$1.25 = $53.5413

- The amount saved by the company by choosing to make 50 Box 2 as compared to 50 Box 1:

Amount saved = 50*(Cost of box 1 - Cost of box 2)

= 50*( 54.375 - 53.5413 )

= $41.685