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Linear Programming to optimize production

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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.

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Problem 1 Wrigleyís 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 Dept. 3 hrs 1 hr 300 hrs
Molding Dept. 3 hrs 3 hrs 540 hrs
Cooling Dept. 4 hrs 10 hrs 100 hrs
Profit/box $13 $15

Find out how many of each type of chewing gum should be manufactured in order to ...

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