2. |
(a) |
The owner of Metro Sports wishes to determine how many advertisements to place in the selected three monthly magazines - A, B and C. His objective is to advertise in such a way that total exposure to principal buyers of expensive sports goods is maximized. Percentages of readers for each magazine are know. Exposure in any particular magazine is the number of advertisements placed multiplied by the number of principal buyers. The following data my be used:
| Magazines |
Readers (in lakhs) Principal buyers (in percentage) Cost per advertisements (Rs.) |
A 1 10 5,000 |
B 0.6 15 4,500 |
C 0.4 7 4,250 |
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8 |
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The budgeted amount is at most Rs. 1 lakh for the advertisements. The owner has already decided that magazine A should have no more than 6 advertisements and that B and C each have at least two advertisements. Only formulate a LP model for the problem. You are not required to solve the LP model. |
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(b) |
Discuss the process if managing Organisational Change effectively. |
8 |
3. |
(a) |
M/s XYZ Ltd. produces and sells three types of products. P, Q and R. The management has decided to discontinue the production of Q since there is not much profit in it.
The following set of information is available:
| Selling | Direct | Direct Wages/unit |
Products | Price/unit | Materials/unit | — Dept. A | — Dept. B | — Dept. C |
| Rs. | Rs. | Rs. | Rs. | Rs. |
P Q R |
300 275 305 |
60 30 70 |
20 20 12 |
15 20 10 |
10 10 20 |
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2+2+4 |
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The absorption rates of overhead on the Direct wages are given below:-
Variable Overhead Fixed Overhead |
Dept. A 150% 200% |
Dept. B 120% 240% |
Dept. C 200% 150% |
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You are required to find out —
(i) | Profitability of the three products, and |
(ii) | P/V Ratio of P, Q and R |
Also give your short comments on the decision of the management. |
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(b) |
Explain Balance Score Card and its various perspectives. |
2+6 |
4. |
(a) |
The Bombay Transport Company has trucks available at four different sites in the following numbers:
Site | A - 4 | Trucks |
Site | B - 10 | Trucks |
Site | C - 7 | Trucks |
Site | D - 3 | Trucks |
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8 |
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Customers - W, X and Y require trucks as shown below:
Customer | W - 5 | Trucks |
Customer | X - 8 | Trucks |
Customer | Y - 10 | Trucks |
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Variable Costs of getting trucks to the Customers are given below:
From A to W - Rs. 7, to X - Rs. 3, to Y - Rs. 6 |
From B to W - Rs. 4, to X - Rs. 6, to Y - Rs. 3 |
From C to W - Rs. 5, to X - Rs. 8, to Y - Rs. 4 |
From D to W - Rs. 8, to X - Rs. 4, to Y - Rs. 3 |
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Solve the above Transportation problem. |
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(b) |
Explain how the performance of the Public Undertakings will be judged. |
8 |
5. |
(a) |
A company manufactures two products — X and Y.
A forecast of units to be sold in the first five months of the year is given below.
Months January February March April May |
Products X 1,000 1,200 1,600 2,000 2,400 |
Products Y 2,800 2,800 2,400 2,000 1,600 |
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5+5 |
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Other information is as follows.
Cost per unit (Rs.) Direct Materials Direct Labour Factory Overhead |
Products X 12.50 4.50 3.00 |
Products Y 19.00 7.00 4.00 |
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There will be no opening and closing work-in-progress at the end of any month. Finished product (in units), equal to half of the budgeted sale of the next month, should be in stock at the end of each month (including previous year December).
You are required to prepare
(i) | Production Budget for January to April, and |
(ii) | Summarised Production Cost Budget. |
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(b) |
What are the basic differences between 'Forecast' and 'Budget'? |
6 |