Problem:
Linear Programming to optimize production
Formulate each of the following as a Linear Programming Problem. Build the Linear Programming Model and solve using Graphical Method.
1. Wrigley's Company makes two types of chewing gums: Strawberry and Lemon.
The following table shows the profit and the number of hours needed in each department for each type of chewing gum.
Strawberry Lemon Capacity
Mixing department 3 hours 1 hour 300 hours
Molding Department 3 hours 3 hours 540 hours
Cooling Department 4 hours 10 hours 100 hours
Profit 13$/box 15$/box
Find out how many of each type of chewing gum should be manufactured in order to maximize the profit.