Draw a graph for the problem and clearly identify the, Ask an Expert

Management Studies

The cost of making two products is $3 each. The first product requires 2kg and the second 4kg of material. You have at least a total of 16kg available. The time to produce the first product is 4 hrs and the second 3 hours. In total there are 24 hours available. You have an order for 2 items of the first product so must make sure you produce at least this amount.

Formulate as a linear programming problem.

Draw a graph for the problem and clearly identify the feasible solution space. Then calculate, by hand, showing all workings, the following:

(i) Optimum solution in full

(ii) Ranges for the Objective Co-efficients

(iii) Shadow Prices

(iv) Right Hand Side Ranges

Note

I have established the Min objective funtion:

Min Z = 3Y1 + 3Y2

Subject to:

2Y1 + 4Y2 => 16 (CONSTRAINT 1)

4Y1 + 3Y2 <= 24 (CONSTRAINT 2)

Y1 => 2 (CONSTRAINT 3)

Y2 => 0

And have graphed to find the solution as (printed below) be having issues with parts (ii), (ii) and (iv) of the questions:

1156_Formulate as a linear programming problem.png

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Operation Management, Management Studies

Category:- Operation Management
Reference No.:- M9685685

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