1. Given a linear programming model:

Max 6x₁ + 9x₂

s.t. x₁ < 7

2x₁ + 3x₂ < 18

x₁, x₂ > 0

2.Which of the following statement is true?

A. The model has only one optimal solution.

B. The model has no feasible solutions.

C. The model has unbounded solution.

D. The model has multiple optimal solutions.

3.In the classic Economic Order Quantity (EOQ) associated with inventory under the assumptions of constant demand and fixed costs, what happens if the annual demand increases from 1000 units to 2000 units?

A. The EOQ increases and the reorder point increases.

B. The EOQ decreases and the reorder point decreases.

C. The EOQ increases and the reorder point remains the same.

D. The EOQ decreases and the reorder point increases.

Data for a particular subdivision near downtown Houston indicate that the average price per square foot for a home is $100 with a standard deviation of $5 (normally distributed). What is the probability that the average price per square foot for a home is greater than $110?

A. 0

B. 0.023

C. 0.841

D. 0.977