Linear Programming

Each vase requires 3 pounds of clay and each set of bowls requires 2 pounds of clay; you have 60 pounds of clay available each week. The vases are large and ornate and require 1 hour each to make, each bowl set require 1.5 hours to make; you have 40 hours of labor available each week. You have a standing (fixed) order for 8 sets of bowls each week. You make $24 profit per vase and $30 per set of bowls. What combination of vases and bowls should you make each week?To solve this problem, ask yourself 4 questions (I have provided the answers for this problem):1. Are we maximizing or minimizing? Maximizing2. What are we minimizing? Weekly Profit3. What are our decision variables (the variables that we control)? • Number of vases and sets of bowls produced each week• 2 variables, X1 = # of Vases, X2 = # of Bowl Sets4. What are the constraints (limitations)? Clay available, Labor Hours, Minimum of 8 sets of bowls, non-negativity