Flores File Company makes inexpensive, grey two- drawer, three-drawer, and four-drawer filing cabinets. It estimates that it makes a net profit of $4 for each two- drawer model, $ 6 for each...

Flores File Company makes inexpensive, grey two- drawer, three-drawer, and four-drawer filing cabinets. It estimates that it makes a net profit of $4 for each two- drawer model, $ 6 for each three-drawer model, and $ 1 0 for each four-drawer model produced.

 a. Write a mathematical expression for the objective of maximizing total net profit.

 b. The filing cabinets are made from §"- thick sheet metal. Each two-drawer cabinet requires 40 square feet of sheet metal; each three-drawer cabinet requires 55 square feet; and each four-drawer requires 70 square feet. For the current production run, Flores has 25,000 square feet of sheet metal available. Write a constraint that states the following: “The number of square feet of sheet metal used cannot exceed the amount of sheet metal available.”