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QUESTION 3: Linear Programming (15 Points) A publisher makes two products, bags and shoes. Each must be processed through two work conditions Condition has 60 hours of available production time per week. Condition 2 has 48 hours of available production time per week. Publishing of a bags requires 4 hours in condition 1 and 2 hours in condition 2. Publishing of a shoes requires 2 hours in condition 1 and 4 hours in condition 2. Profit is 88 per bag and 6 per shoe. Define decision variables that will tell how many units to build (bags and shoes) per week. b. Develop an objective function that will maximize total profit per week. C. Develop production constraints for work area #1 and #2