A company produces glass products and own 3 plants. The management decides to produce two new products and need to decide how much to produce of each one to maximize their profit. Each ton of Product 1 requires 1 hour of production time in Plant 1 and 3 hours in Plant 3 and will generate $3,000 profit. Each ton of Product 2 requires 2 hours of production time in Plant 2 and 2 hours in Plant 3 and will generate $5,000 profit. The production times available per week for each plant are 4, 12 and 18 hours respectively for Plant 1, 2 and 3. Required:
Identifies variables, formulate as a LP and solve graphically