Answer the following multiple choice question with respect to this 3 variable linear programming problem. (Note: Only one option is correct. You will have to use Excel to solve this problem first before answering the question).

Maximize 5X1 + 2X2 + 7X3

Subject to constraints:

Constraint # 1: X1 + 10X2 + 3X3 <= 200

Constraint # 2: 5X1 + 5X2 + 5X3 <= 120

Constraint # 3: X1 + 2X2 + 10 X3 <= 150

X1, X2, X3 >= 0

What value can the objective function coefficient for X1 be increased up to (without changing the optimal corner point)?

Group of answer choices:

4

9

10

7