Question #4: Formulate the linear programming problem Problem Statement: A company having two items/products namely P-1 and P-2 with selling prices of 25 and 20 respectively. The company has 1800 units of resources available every day to produce these items. An item P-1 requires 20 units of resources and P-2 needs 12 units of resources. The production time for both of these items is 4 minutes and the company gets total of 480 minutes working every day. The problem is, what should be the production quantity for each of these items to maximize the company’s profits?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question #4: Formulate the linear programming problem
Problem Statement:
A company having two items/products namely P-1 and P-2 with selling prices of 25 and 20 respectively.
The company has 1800 units of resources available every day to produce these items. An item P-1 requires
20 units of resources and P-2 needs 12 units of resources. The production time for both of these items is
4 minutes and the company gets total of 480 minutes working every day. The problem is, what should be
the production quantity for each of these items to maximize the company’s profits?

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