Solve the following 3 variable problem in Excel. Maximize 10X1 + 7X2 + 5X3; subject to the constraints: X1 + X2 + X3 = 70;

Solve the following 3 variable problem in Excel. Maximize 10X1 + 7X2 + 5X3; subject to the constraints: X1 + X2 + X3 <= 100; 2X2 + X3 >= 70; -X2 + X3 <= 150. All variables are non-negative. Which of the following statements is true?

X2 = 36 in the optimal solution.

The optimal solution value is 850

X1 = 65 in the optimal solution.

X3 is 73 in the optimal solution.