Samacheer Kalvi solutions for Business Mathematics and Statistics [English] Class 12 TN Board chapter 10 - Operations Research [Latest edition]

What is transportation problem?

Write mathematical form of transportation problem

What is feasible solution and non degenerate solution in transportation problem?

What do you mean by balanced transportation problem?

Find an initial basic feasible solution of the following problem using the northwest corner rule.

Determine an initial basic feasible solution of the following transportation problem by north west corner method.

Obtain an initial basic feasible solution to the following transportation problem by using least-cost method.

Explain Vogel’s approximation method by obtaining initial feasible solution of the following transportation problem.

Consider the following transportation problem.

Determine initial basic feasible solution by VAM.

Determine basic feasible solution to the following transportation problem using North west Corner rule.

Find the initial basic feasible solution of the following transportation problem:

Using North West Corner rule

Find the initial basic feasible solution of the following transportation problem:

Using Least Cost method

Find the initial basic feasible solution of the following transportation problem:

Using Vogel’s approximation method

Obtain an initial basic feasible solution to the following transportation problem by north west corner method.

What is the Assignment problem?

Give mathematical form of Assignment problem

What is the difference between Assignment Problem and Transportation Problem?

Three jobs A, B and C one to be assigned to three machines U, V and W. The processing cost for each job machine combination is shown in the matrix given below. Determine the allocation that minimizes the overall processing cost.

(cost is in ₹ per unit)

A computer centre has got three expert programmers. The centre needs three application programmes to be developed. The head of the computer centre, after studying carefully the programmes to be developed, estimates the computer time in minitues required by the experts to the application programme as follows.

Assign the programmers to the programme in such a way that the total computer time is least.

A departmental head has four subordinates and four tasks to be performed. The subordinates differ in efficiency and the tasks differ in their intrinsic difficulty. His estimates of the time each man would take to perform each task is given below:

How should the tasks be allocated to subordinates so as to minimize the total manhours?

Find the optimal solution for the assignment problem with the following cost matrix.

Assign four trucks 1, 2, 3 and 4 to vacant spaces A, B, C, D, E and F so that distance travelled is minimized. The matrix below shows the distance.

Given the following pay-off matrix(in rupees) for three strategies and two states of nature.

Select a strategy using the following rule (i) Maximin (ii) Minimax

A farmer wants to decide which of the three crops he should plant on his 100-acre farm. The profit from each is dependent on the rainfall during the growing season. The farmer has categorized the amount of rainfall as high medium and low. His estimated profit for each is shown in the table.

If the farmer wishes to plant only crop, decide which should be his best crop using (i) Maximin (ii) Minimax

The research department of Hindustan Ltd. has recommended to pay marketing department to launch a shampoo of three different types. The marketing types of shampoo to be launched under the following estimated pay-off s for various level of sales.

What will be the marketing manager’s decision if (i) Maximin and (ii) Minimax principle applied?

Following pay-off matrix, which is the optimal decision under of the following rule (i) maximin (ii) minimax

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The transportation problem is said to be unbalanced if ______

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In a non – degenerate solution number of allocation is

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In a degenerate solution number of allocations is

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The Penalty in VAM represents difference between the first ______

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Number of basic allocation in any row or column in an assignment problem can be

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North – West Corner refers to ______

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Solution for transportation problem using ______ method is nearer to an optimal solution.

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In an assignment problem the value of decision variable x_ij is ______

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If number of sources is not equal to number of destinations, the assignment problem is called ______

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The purpose of a dummy row or column in an assignment problem is to

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The solution for an assignment problem is optimal if

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In an assignment problem involving four workers and three jobs, total number of assignments possible are

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Decision theory is concerned with

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A type of decision–making environment is

The following table summarizes the supply, demand and cost information for four factors S₁, S₂, S₃, S4 Shipping goods to three warehouses D₁, D₂, D₃.

Find an initial solution by using north west corner rule. What is the total cost for this solution?

Consider the following transportation problem

Determine an initial basic feasible solution using Least cost method

Consider the following transportation problem

Determine an initial basic feasible solution using Vogel’s approximation method

Determine an initial basic feasible solution to the following transportation problem by using north west corner rule

Determine an initial basic feasible solution to the following transportation problem by using least cost method

Explain Vogel’s approximation method by obtaining initial basic feasible solution of the following transportation problem.

A car hire company has one car at each of five depots a, b, c, d and e. A customer in each of the fine towers A, B, C, D and E requires a car. The distance (in miles) between the depots (origins) and the towers(destinations) where the customers are given in the following distance matrix.

How should the cars be assigned to the customers so as to minimize the distance travelled?

A natural truck-rental service has a surplus of one truck in each of the cities 1, 2, 3, 4, 5 and 6 and a deficit of one truck in each of the cities 7, 8, 9, 10, 11 and 12. The distance(in kilometers) between the cities with a surplus and the cities with a deficit are displayed below:

How should the truck be dispersed so as to minimize the total distance travelled?

A person wants to invest in one of three alternative investment plans: Stock, Bonds and Debentures. It is assumed that the person wishes to invest all of the funds in a plan. The pay-off matrix based on three potential economic conditions is given in the following table:

Determine the best investment plan using each of following criteria i) Maxmin ii) Minimax