A linear programming problem is given as follows:

maximize ?? = 50??1 + 80??2 + 64??3 + 80??4

Subject to 5??1 + 2.5??2 + 4.5??3 + 3.99??4 = 600

4.1??1 + 2.6??2 + 5.5??3 + 1.9??4 = 500

15??1 + 22??2 + 18??3 + 25??4 = 400

8??1 + 12.6??2 + 9.7??3 + 10.55??4 = 1700

??1 + ??2 ??1 + ??2 + ??3 + ??4 = 0.60

??1, ??2, ??3, ??4 = 0

a) Transform the problem into standard form. (b) Solve the problem by using the computer. (c) What is the effect on the optimal solution if the 2nd constraint were discarded from the formulation?