## random variable

**Question 1**

Management science techniques focus primarily on observation, model construction and implementation to find an appropriate solution to a problem.

**Question 2**

In linear programming problems, multiple optimal solutions occur when constraints are parallel to each other.

**Question 3**

A change in the value of an objective function coefficient will always change the value of the optimal solution.

**Question 4**

Fractional relationships between variables are not permitted in the standard form of a linear program.

**Question 5**

In a total integer model, all decision variables have integer solution values.

**Question 6**

In a transshipment problem, items may be transported from destination to destination and from source to source.

**Question 7**

The events in an experiment are mutually exclusive if only one can occur at a time.

**Question 8**

The minimax criterion minimizes the maximum payoff.

**Question 9**

Excel can be used to simulate systems that can be represented by both discrete and continuous random variables.

**Question 10**

Adjusted exponential smoothing is an exponential smoothing forecast adjusted for seasonality.

**Question 11**

Which of the following is an equation or an inequality that expresses a resource restriction in a mathematical model?

**Question 12**

If the price decreases but fixed and variable costs do not change, the break even point:

**Question 13**

A slack variable:

**Question 14**

Cully furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $150. What is the storage space constraint?

**Question 15**

The following is an Excel “Answer” and “Sensitivity” reports of a linear programming problem:

**The Answer Report:**

**The Sensitivity Report: **

Which additional resources would you recommend to be increased?

**Question 16**

Given the following linear programming problem that minimizes cost.

Min Z = 2x + 8y

Subject to 8x + 4y ≥ 64

2x + 4y ≥ 32

y ≥ 2

What is the sensitivity range for the third constraint, y ≥ 2?

**Question 17**

Compared to blending and product mix problems, transportation problems are unique because: