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July 24, 2014

Homework Help: linear programming

Posted by nmh on Friday, July 8, 2011 at 2:53pm.

A manufacturer has a maximum of 240, 360, and 180 kilograms of wood, plastic and steel available. The company produces two products, A and B. Each unit of A requires 1, 3 and 2 kilograms of wood, plastic and steel respectively; each unit of B requires 3, 4 and 1 kilograms of wood, plastic and steel respectively, and each unit of B requires 3, 4 and 1 kilograms of wood, plastic and steel respectively. The profit per unit of A and B is $4.00 and $6.00 respectively.
Identify all constraints.
Identify all applicable corner points of the feasibility region.
How many units of A and B should be manufactured in order to maximize profits? What would the maximum profit be?

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