A Manufacturer Makes Two Products, Doors and Windows

Essay

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. Work area #2 has 48 hours of available production time. 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).
b.Develop an objective function that will maximize profits.
c.Develop production constraints for work area #1 and #2.