Question: Problem 2 . Solve the following LP. MAX Z= 75.00 x1 + 58.00 x2 + 46.00 x3 + 62.00 x4 Subject to 4.00x1 + 3.50x2

Problem 2

. Solve the following LP.

MAX Z= 75.00 x1 + 58.00 x2 + 46.00 x3 + 62.00 x4

Subject to

4.00x1 + 3.50x2 + 4.60x3 + 3.90x4 <= 600.00

2.10x1 + 2.60x2 + 3.50x3 + 1.90x4 <=500.00

15.00x1 + 23.00x2 + 18.00 x3 + 25.00x4 <= 3600.00

8.00x1 + 12.60x2 +9.70x3 +10.50x4<= 1700.00

(1.00X1 + 1.00x2)/(1.00x1+1.00x2+1.00x3+1.00x4)>=0.60

Solve this problem using R or Excel.

What are the values of Z, x1,x2,x3,x4 and slacks or surplus, shadow prices?

Identify the sensitivity ranges for the objective function coefficients and the constraint quantity values.

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