If an iso-profit line yielding the optimal solution coincides with a constaint line, then.

A. The solution is unbounded
B. The solution is infeasible
C. The constraint which coincides is redundant
D. None of the above
✅ The correct answer is option D.
An iso-profit line represents an infinite number of solutions all of which yield the same profit. The graph of the profit function is called an iso-profit line. It is called this because “iso” means “same” or “equal” and the profit anywhere on the line is the same.

Alternative solutions exist of an LP model when.

A. One of the constraints is redundant
B. Objective function equation is parallel to one of the constraints
C. Two constraints are parallel
D. All of the above
✅ The correct answer is option B.
Alternative solutions exist of an LP model when objective function equation is parallel to one of the constraints. Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.

What can be defined as a useful idle resource which has economic value eg; raw materials, spareparts, finished items, etc?

A. Inventory Control
B. Inventory
C. Inventory Planning
D. None of the above
✅ The correct answer is option B.
Inventory can be defined as a useful idle resource which has economic value eg; raw materials, spareparts, finished items, etc. Inventory is an idle stock of physical goods that contain economic value, and are held in various forms by an organization in its custody awaiting packing, processing, transformation, use or sale in a future point of time.

A calling population is considered to be infinite when.

A. All customers arrive at once
B. Arrivals are independent of each other
C. Arrivals are dependent upon each other
D. All of the above
✅ The correct answer is option B.
A calling population is considered to be infinite when Arrivals are independent of each other. If new customer’s arrival is independent of the number of customers already in the system, the calling population is called unlimited or infinite.

Which of the following statements is true with respect to the optimal solution of an LP problem?

A. Every LP problem has an optimal solution
B. Optimal solution of an LP problem always occurs at an extreme point
C. At optimal solution all resources are completely used
D. If an optimal solution exists, there will always be at least one at a corner
✅ The correct answer is option D.
If an optimal solution exists, there will always be at least one at a corner statement is true with respect to the optimal solution of an LP problem.

A constraint in an LP model becomes redundant because.

A. Two iso-profit line may be parallel to each other
B. The solution is unbounded
C. This constraint is not satisfied by the solution values
D. None of the above
✅ The correct answer is option D.
A redundant constraint is a constraint that can be omitted from the system without changing the set of feasible solutions S. An implicit equality constraint is an inequality constraint that can be replaced by an equality constraint without changing S.

The distinguishing feature of an LP model is.

A. Relationship among all variables is linear
B. It has single objective function & constraints
C. Value of decision variables is non-negative
D. All of the above
✅ The correct answer is option A.
The distinguishing feature of an LP model is relationship among all variables is linear. The linear programming model is an algebraic description of the objective to be minimized and the constraints to be satisfied by the variables.

Operations Research is a ____________.

A. Science
B. Art
C. Mathematics
D. Both A and B
✅ The correct answer is option D.
Operations Research is a Science and Art. Operations Research is an Art and Science It had its early roots in World War II and is flourishing in business and industry with the aid of computer Primary applications areas of Operations Research include forecasting, production scheduling, inventory control, capital budgeting, and transportation.

Few causes of simulation analysis failure are.

A. Inadequate level of user participation
B. Inappropriate levels of detail
C. Incomplete mix of essential skills
D. All of the above
✅ The correct answer is option D.
Few causes of simulation analysis failure are Inadequate level of user participation, Inappropriate levels of detail and Incomplete mix of essential skills.