Answer to Question #211127 in Operations Research for Azooz

Question

A manufacturer makes two products, doors and windows. Each must 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

Answer 1

a) define decision variables that will tell how many units to build (windows and doors)

Let D = the number of doors to build

Let N = number of windows to build

b) develop an objective function that will maximize profits.

Then, according to question

Profit = 8D + 6W

c) develop production constraints for work area #1 and #2.

$4D+4W\ \leq\ 60\\2D+2W\ \leq\ 48$