Find the complete optimal solution to this linear programming problem. Max 5x + 3y s.t. 2x...

Question

Question

Find the complete optimal solution to this linear programming problem. Max 5x + 3y s.t. 2x + 3y £ 30 2x + 5y £ 40 6x - 5y £ 0 x , y ³ 0

business Operations-Management

Answer 1

Answer #1

Using excel solver,we find the optimal solution as shown below :

In excel ,

Objective function value=G6=SUMPRODUCT(C4:D4,C6:D6)=43

E9=SUMPRODUCT($C$4:$D$4,C9:D9)

E10=SUMPRODUCT($C$4:$D$4,C10:D10)

E11=SUMPRODUCT($C$4:$D$4,C11:D11)

The optimal solution is ,

x=5 ; y=6

Calculations are as shown below :

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Answer 2

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