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In: Operations Management

For a certain proposed structural system, x1 and x2 are nonzero quantities that represent the extents...

For a certain proposed structural system, x1 and x2 are nonzero quantities that represent the extents of two design inputs A and B, respectively. It is desired that the sum of 2 units of A and 4 units of B must not exceed 21 units; also, the sum of 5 units of A and 3 units of B must not exceed 18. Maximize the overall structural performance of the system, denoted as Z, where C is the sum of 3 units of A and 2 units of B. (a) On a graph sheet, clearly show the feasible region for the constraint set and label all vertices of the feasible region. Using an appropriate software platform, determine the optimal solution.

Solutions

Expert Solution

Our equations would be:

Maximize: C=3A+2B

subject to:

2A+4B<=21

5A+3B<=18

A,B>=0

The graph will be as follows:

Where the feasiable region is outlines with black.

Now to solve the equations we can use excel. Put in the following formulas in an excel sheet

Then solve using solver with following constraints:

we eill get the following answer:

keosha answered 8 months ago
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