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?

$41.685        

Step-by-step 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        

no he doesnt because "-16' is negatiive

step-by-step explanation:

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.