MTH601 Midterm MCQs Set 4 by VU Topper RM

One of the properties of Linear Programming Model is that ------------. A. it would not have any non-positive decision variable B. All other choices are equally important

C. the objective function should be linear

D. the relationship between problem variables and constraints must be linear

Under which of the following condition, the Economic Order Quantity (EOQ) of Manufacturing Model with allowed Shortage can be transformed into the same Model without Shortage?

1. When Shortage Cost is infinity
2. When Setup Cost is infinity
3. When Shortage Cost is zero
4. When Setup Cost is zero

Correct answer: When Shortage Cost is infinity

If a manufacturer company produces two types of product say ‘A’ and ‘B’ in ‘x’ and ‘y’ quantity respectively then which of the following would be the objective if the profit on one unit of ‘A’ is Rs.6 and on ‘B’ is Rs.11? A. Min z =6x + 11y B. Max z = 6x – 11y C. Max z =66xy

D. Max z = 6x +11y

Which of the following would be the objective of the revenue in a production of cell phones?

1. Average
2. Minimization
3. Inflection
4. Maximization

Correct answer: Maximization

Which of the fiollowing is an intermediate step to model a linear programming problem?

1. Identify the non-negative restrictions and constraints
2. None of these
3. Identify the objective function
4. Identify the unknown decision variables

Correct answer: Identify the unknown decision variables

For an industrialist, optimization means ------------.

A. both maximizing its profit and minimizing its cost

B. minimizing its cost only C. change the business strategy and looking forward new customers D. maximizing its profit only

variable. A. arbitrary B. three

C. two

D. one

A linear programming problem can be converted into a Transportation problem by restricting the coefficients ‘aij’ to have the values----------.

A. either ‘0’ or ‘1’

B. One only C. arbitrarily D. Zero only

In a Linear Programming problem, the decision variable can assume any value -----------. A. zero or negative B. non-zero

C. zero or positive

D. one

Which of the following is the meaning of ‘Linear’?

1. Relationship between the variables is discrete line
2. Relationship between the variables is finite or infinite
3. Relationship between the variables is a straight line
4. Relationship between the variables is a curvilinear

Correct answer: Relationship between the variables is a straight line

variable. A. arbitrary

B. one

C. two D. three

The word ‘Linear’ in Linear programming problem describes ------------ between two or more variables. A. that a Correlation exists B. an inverse proportionate relation C. a recurrence relation

D. a direct proportionate relation

Which of the following is first step to model a linear programming problem?

1. Identifying the unknown decision variables
2. Identifying the objective function
3. Identifying the non-negative constraints
4. Identifying all the restrictions

Correct answer: Identifying the unknown decision variables

Linear Programming is the backbone of Operations Research models due to---------. A. its fantastic computational efficiency B. unrestricted signs of decision variables

C. linearity of objective function and constraints

D. non-negativity of decision variables