A company produces Products A, B, and C. Every product is processed in 3 departments: I, II, and II. Total available labor-hours per week for Departments I, II, and III are 900, 1080, and 840, respectively. Time requirements (in hours per unit) and profit per unit for every product are as follows:
Product A Product B Product C
Dept. I 2 1 2
Dept. II 3 1 2
Dept. III 2 2 1
Profit $18 $12 $15
a) How many units of every product must company produce to maximize its profit?
b) Find largest profit company can realize?