Mathematics Homework Help

my class is Quantitative Business Analysis

So I have total 6 problems , so if you think you aren’t good at math of business analysis Please dont take it. I will post one question to let you know how it is.

Problem 2. You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit, requires six square feet of floor space, and holds eight cubic feet of files. Cabinet Y costs $20 per unit, requires eight square feet of floor space, and holds twelve cubic feet of files. You have been given $140 for this purchase, though you don’t have to spend that much. The office has room for no more than 72 square feet of cabinets.

a) Formulate a linear programming model that maximizes thestorage volume.

b) Graph the constraints and identify the feasible region for the LP developed in part a.

c) How many of which model should you buy?