They would like to order shirts with 3 imprint colors but as they contacted the printer late, the printer can print at most 80 shirts with 3 colors; the remainder of the order will have 2 imprint colors. There are only 200 shirts available and they must order at least 20 shirts with 3 colors and 40 shirts with 2 colors. If the profit on the 3-color shirt is $2 per shirt and the profit on the 2-color shirt is $4.00 per shirt.

a) Write the constraints for the problem if x = 3 color imprint shirts and y = 2 color imprint shirts.
b) Write the profit equation.

Question

They would like to order shirts with 3 imprint colors but as they contacted the printer late, the printer can print at most 80 shirts with 3 colors; the remainder of the order will have 2 imprint colors.  There are only 200 shirts available and they must order at  least 20 shirts with 3 colors and 40 shirts with 2 colors. If the profit on the 3-color shirt is $2 per shirt and the profit on the 2-color shirt is $4.00 per shirt.

a) Write the constraints for the problem if x = 3 color imprint shirts and y = 2 color imprint shirts.
b) Write the profit equation.

anonymous · Answer

Refer to the Mathematica solution attached.