Question

In: Operations Management

Consider the following all-integer linear program: Max 5x1+8x2 s.t. 6x1+5x2≤30 9x1+4x2≤36 1x1+2x2≤10 x1, x2 ≥ 0...

Consider the following all-integer linear program: Max 5x1+8x2

s.t.

6x1+5x2≤30

9x1+4x2≤36

1x1+2x2≤10

x1, x2 ≥ 0 and integer

For part 1 just do a regular linear program in Excel. This is a max problem.

For part 2 do a integer program in Excel.

Expert Solution

Part 1:

Form LP in the excel as below:

Use Formula SUMPRODUCT() for constrains as well as objective function

Solver Parameters:

Add Objective Cell, Decision Variables, and Constrains. Do not add constrains for integers in this part.

Optimal Solution:

After Round down will be

X1 = 1,

X2 = 4

Max. Profit = 1*5 + 8*4 = 37

Part 2.

We only need to make one change. We need to add integer constrain for X1, X2

Solution:

After adding integer solution, solution we get is different than the optimal solution we get in the earlier part.

Optimal Integer Solution:

X1 = 0, X2 =5

Max. Profit = 5*8 =40

keosha answered 5 months ago

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