Question

In: Operations Management

The objective function value in the following LP is 45 and 5x+2y<=40 is a binding constraint...

The objective function value in the following LP is 45 and 5x+2y<=40 is a binding constraint (meaning 5x+2y=40 for the optimal values of x and y).

MAX 5x+3y

st

5x+2y<=40

3x+6y<=48

x<=7

2x-y>=3

x>=0 and y>=0

is:

A. True

B. False

Expert Solution

Answer: True

We solve the given LPP in Excel using Excel Solver as shown below:

The above solution in the form of formulas along with Excel Solver extract is shown below for better understanding and reference:

As seen from the above solution,

objective value = 45

For constraint 1, Left-hand side = right-hand side. Hence, this constraint is binding

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keosha answered 6 days ago

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