Karrie H.

asked • 11/17/13# I need help on my home work in liner programing from Quantitative business methods I do not know how to do anything

I need help on doing my homework for liner programing find the following constraints

a. 4A + 2B less than or equal to 16

b. 4A + 2B greater than or equal to 16

c. 4A + 2B + 16

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## 2 Answers By Expert Tutors

Jack C. answered • 10/09/15

Former Cal Sate Dominguez Hills Teacher for over fifteen years

I am taking the last constraint as 4A + 2B=16 not 4A + 2b + 16

If we make that assumption/ adjustment, then we have a good partial problem dealing with constraints. We will still need the objective function to completer the exercise.

The feasible region is a nice table and a nice graph.

First the table

A B Total

16 0 16

15 1 16

14 2 16

13 3 16

12 4 16

11 5 16

10 6 16

9 7 16

8 8 16

7 9 16

6 10 16

5 11 16

4 12 16

3 13 16

2 14 16

1 15 16

0 16 16

Now graph three points.

Make all A’s and no B’s, (16,0)

Make all B’s and no A’s (0,16)

Make a mix of 8A’s and 8B’s (8,8)

See the triangle. The optimum solution lies inside this triangle. Actually it is located on one of the three points. There may be another solution equal to the optimal solution that runs on one of the lines but it cannot be superior to the LP solution.

Once you have the objective function just check the three possible production mixes, 16,0, 0,16 and 8,8.

Michael F. answered • 11/17/13

Mathematics Tutor

The only answer that conforms to the constraints a, and b, is that 4A+2B=16

Along that single line the value of 4A+2B+16 is 32

Personally I think the question is different from that posted

Karrie H.

Thank You, so much for trying but I think it wants me to find the constraints for each equation

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11/18/13

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Andre W.

11/17/13