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Problem: A manufacturer makes two products, doors and windows. Each must be processed through two work areas. Work area #1 has 60 hours of available production time per week. Work area #2 has 48 hours of available production time per week. Manufacturing of a door requires 4 hours in work area #1 and 2 hours in work area #2. Manufacturing of a window requires 2 hours in work area #1 and 4 hours in work area #2. Profit is $8 per door and $6 per window.
Required:
Question 1: Define decision variables that will tell how many units to build (doors and windows) per week.
Question 2: Develop an objective function that will maximize total profit per week.
Question 3: Develop production constraints for work area #1 and #2.
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