### Define decision variables

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a manufacturer makes two products, windows and doors. Each must be processed through two work areas. Work are #1 has 48 hours of available production time. Work area #2 has 60 hours of available production time. Manufacturing of a window requires 2 hours in work area #1 and 4 hours in work area #2. Manufacturing of a door 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 (windows and doors)
b) develop an objective function that will maximize profits.
c) develop production constraints for work area #1 and #2.

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