Transportation Problem
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This set of Business Mathematics Multiple Choice Questions & Answers (MCQs) focuses on Transportation Problem
Q1 | Which of the following methods is used to verify the optimality of the current solution of thetransportation problem
- least cost method
- vogel’s approximation method
- modified distribution method
- all of the above
Q2 | The degeneracy in the transportation problem indicates that
- dummy allocation(s) needs to be added
- the problem has no feasible solution
- the multiple optimal solution exist
- a & b but not c
Q3 | The dummy source or destination in a transportation problem is added to
- satisfy rim conditions
- prevent solution from becoming degenerate
- ensure that total cost does not exceed a limit
- none of the above
Q4 | The occurrence of degeneracy while solving a transportation problem means that
- total supply equals total demand
- the solution so obtained is not feasible
- the few allocations become negative
- none of the above
Q5 | An alternative optimal solution to a minimization transportation problem exists wheneveropportunity cost corresponding to unused route of transportation is:
- positive & greater than zero
- positive with at least one equal to zero
- negative with at least one equal to zero
- none of the above
Q6 | One disadvantage of using North-West Corner rule to find initial solution to thetransportation problem is that
- it is complicated to use
- it does not take into account cost of transportation
- it leads to a degenerate initial solution
- all of the above
Q7 | The solution to a transportation problem with ‘m’ rows (supplies) & ‘n’ columns (destination)is feasible if number of positive allocations are
- m+n
- m*n
- m+n-1
- m+n+1
Q8 | If an opportunity cost value is used for an unused cell to test optimality, it should be
- equal to zero
- most negative number
- most positive number
- any value
Q9 | The large negative opportunity cost value in an unused cell in a transportation table is chosento improve the current solution because
- it represents per unit cost reduction
- it represents per unit cost improvement
- it ensure no rim requirement violation
- none of the above
Q10 | The smallest quantity is chosen at the corners of the closed path with negative sign to beassigned at unused cell because
- it improve the total cost
- it does not disturb rim conditions
- it ensure feasible solution
- all of the above
Q11 | The quantitative approach to decision analysis is a
- logical approach
- rational approach
- scientific approach
- all of the above
Q12 | The qualitative approach to decision analysis relies on
- experience
- judgement
- intuition
- all of the above
Q13 | Mathematical model of Linear Programming is important because
- It helps in converting the verbal description and numerical data into mathematical expression
- decision makers prefer to work with formal models.
- it captures the relevant relationship among decision factors.
- it enables the use of algebraic techniques.
Q14 | In graphical method of linear programming problem if the iOS-cost line coincide with a side of region of basic feasible solutions we get
- Unique optimum solution
- unbounded optimum solution
- no feasible solution
- Infinite number of optimum solutions
Q15 | If the value of the objective function 𝒛 can be increased or decreased indefinitely, such solution is called
- Bounded solution
- Unbounded solution
- Solution
- None of the above
Q16 | For the constraint of a linear optimizing function z=x1+x2 given by x1+x2≤1, 3x1+x2≥3 and x1, x2≥0
- There are two feasible regions
- There are infinite feasible regions
- There is no feasible region
- None of these
Q17 | If the number of available constraints is 3 and the number of parameters to be optimized is 4, then
- The objective function can be optimized
- The constraints are short in number
- The solution is problem oriented
- None of these
Q18 | Non-negativity condition is an important component of LP model because
- Variables value should remain under the control of the decision-maker
- Value of variables make sense & correspond to real-world problems
- Variables are interrelated in terms of limited resources
- None of the above
Q19 | Maximization of objective function in an LP model means
- Value occurs at allowable set of decisions
- Highest value is chosen among allowable decisions
- Neither of above
- Both a & b
Q20 | Which of the following is not a characteristic of the LP model
- Alternative courses of action
- An objective function of maximization type
- Limited amount of resources
- Non-negativity condition on the value of decision variables.
Q21 | Which of the following statements is true with respect to the optimal solution of an LP problem
- Every LP problem has an optimal solution
- Optimal solution of an LP problem always occurs at an extreme point
- At optimal solution all resources are completely used
- If an optimal solution exists, there will always be at least one at a corner
Q22 | While plotting constraints on a graph paper, terminal points on both the axes are connected by a straight line because
- The resources are limited in supply
- The objective function as a linear function
- The constraints are linear equations or inequalities
- All of the above