a. Blue Ridge Hot Tubs produces two types of hot tubs: Aqua and Hydro.
Each Aqua produced yields $350 in profit while each Hydro produced yields $300 profit. Each Aqua requires one pump, 12 feet of tubing, and 9 hours of labor. Each Hydro requires one pump, 16 feet of tubing, and 6 hours of labor. There are 200 pumps, 1500 hours of labor, and 3000 feet of tubing available this planning period. For each Hydro produced, Blue Ridge must produce at least one Aqua to satisfy the contractual terms of their distributors.
FORMULATE the problem (Set the problem up). (Define variables, develop objective function, and determine constraint equations) DO NOT Solve.
b. Solve the following optimally using corner point enumeration or level curves (iso-profit)
Maximize Profit = 4A + 5B
Subject to: 3A + 2B < 140 A+2B<120
2A < 60
A,B>0
Develop the graph, clearly identify the feasible region, and then find the optimal solution using the corner point enumeration method.