HSC Commerce Class 12 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Calculate the cost of living index by aggregate expenditure method:

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Another name of consumer’s price index number is:

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Laspeyre’s index = 110, Paasche’s index = 108, then Fisher’s Ideal index is equal to:

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Cost of living at two different cities can be compared with the help of

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Most commonly used index number is:

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Consumer price index are obtained by:

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Which of the following Index number satisfy the time reversal test?

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While computing a weighted index, the current period quantities are used in the:

Calculate the Laspeyre’s, Paasche’s and Fisher’s price index number for the following data. Interpret on the data.

Using the following data, construct Fisher’s Ideal Index Number and Show that it satisfies Factor Reversal Test and Time Reversal Test?

Compute the consumer price index for 2015 on the basis of 2014 from the following data.

An Enquiry was made into the budgets of the middle class families in a city gave the following information.

What changes in the cost of living have taken place in the middle class families of a city?

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.