Problem 1: A glass company makes doors and windows using three plants. Doors requires capacity in plants 1 and 3 while windows require capacity in plants 2 and 3. The company can sell as much as it produces.Each batch of doors uses 1 hour of production time at plant 1, and 3 hours of production tin at plant 3. A batch of doors can be sold for a profit of $3000.
Each batch of windows requires 2 hours of production time at plant 2, and 2 hours of production time at plant 3, and generates a profit of $5000.
Most of the time at the plants has already been committed for other projects.
At plant 1, there are 4 hours of production time available per week.
At plant 2, there are 12 hours of production time available per week.
At plant 3, there are 18 hours of production time available per week. The company needs help deciding how many batches of doors and windows to produce so as to maximize profit.
Decision Variables
What does the company need to decide? Assign appropriate variables.
