Q1. 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.

a.

Define decision variables that will tell how many units to build (doors and windows) per week. (1 mark)

b.

Develop an objective function that will maximize total profit per week. (2 marks)

c.

Develop production constraints for work area #1 and #2. (2 marks)