CWA/ICWA Inter :: Management Accounting - Performance Management : December 2002

A manufacturer of biscuits is considering manufacture of 4 types of gift packs containing 3 types of buiscuits - organge cream (OC). chocolate cream (CC) and waters (W). Market research conducted recently to assess the preference of consumers shows the following types of assortments to be in good demand:

Assortments A B C D

Content Not less than 40% of OC Not more than 20% of CC Any quantity of W Not less than 20% of OC Not more than 40% of CC Any quantity of W Not less than 50% of OC Not more than 10% of CC Any quantity of W No restrictions

Selling price/Kg. (Rs.) 120 125 122 112

You are required only to formulate a LP model to find the production schedule which would maximise the profit, assuming that there are no market restrictions. You are not required to solve the LPP.

Sales and fixed overhead during the current year are expected to be Rs. 13,50,000 and Rs. 1,40,000 respectively.

Under a new wage agreement, an increase of 10% In wage is payable to all the direct workers from the beginning of the forthcoming year, while the materials cost, variable overhead and fixed overhead are expected to increase by 7.5%, 5% and 3% respectively.
You are required to work out:-

A company has 4 factories F_1, F_2, F_3, and F₄ manufacturing the same product. Production and raw material costs differ from factory to factory and are given in the table below in the first two rows. The transportation costs from the factories to the sales depot S₁ S_2, and S₃ are also given. The last two columns in the table below give the sales price and total requirement at each depot and the production capacity of each factory is given in the last row.

Determine the optimal solution and the associated profit by using the Vogel's Approximation Method (VAM).

A repairman is to be hired by a company to repair machines that breakdown at an average rate of 3/hour. Breakdown occurs randomly (Poisson distribution) over time. Non-productive time on any machine is considered to cost the company Rs. 10 per hour. The management has narrowed down the choice to 2 repairment; one 'slow but cheap' and other 'fast but expensive'. The 'slow but cheap' repairmen has a rate of Rs. 5 per hour and he will service breakdown machines at an average rate of 4/hour. The 'fast but expensive' repairman has a rate of Rs. 7 per hour and he will service breakdown machines at an average rate of 6/hour.
Which repairman should the company hire?
Assume exponential repair time for both repairmen.

M/S XYZ Co. produces and sells three types of products P, Q & R. The performance management Team has decided to discontinue the production of Q since there is not much profit in it. From the following set of information, find out the probability of the products and give your comments on the decision of the performance management team.

The cost of an article at the capacity level of 10,000 units is given under 'A' below. For a variation in capacity above or below this level, the individual expenses vary as indicated in 'B' below.

Find out the unit cost of product, showing each individual expenses, at the production levels of 8,000 units and 12,000 units respectively.

Explain the concept of Just-In-Time (JIT) Manufacturing system, highlighting its features and conditions necessary for its success.

After observing heavy congestion of customers over a period of time in a petrol station, Mr. Petro has decided to set up a petrol pump facility on his own in a nearby site. He has compiled statistics relating to the potential customer arrival pattern and service pattern as given below. He has also decided to evalute the operations by using the simulation technique.

Arrivals		Services
Inter-arrial Time(Minutes)	Probability	Time	Probability (Minutes)
2 4 6 8 10	0.22 0.30 0.24 0.14 0.10	4 6 8 10	0.28 0.40 0.22 0.10

There was a special holiday in January, 2002. Work out the Fixed Overhead Variances.

A manager has just received the Direct Labour Efficiency Variance Report which shows Rs. 10,000 adverse efficiency variance. The following estimates in investigation of variances are provided.

Cost of Investigation Cost of correcting, if an Out of control process is discovered

Rs. 10,000 Rs. 15,000

The manager remained in different about conducting and investigation where there was a probability of 0.60 that the process was in control.
Estimate the cost of allowing the out of control situation to continue.

What do you mean by 'transfer price'? State the objectives of "transfer price".

A company has two divisions A and B. Division A transfers 500 units of X - 25 to able to sell X - 25 in the open market, in case of refusal of Division B to buy them. Division B incurs additional variable costs of Rs. 39 per unit of X - 25 and produces X - 30 which it sells in the market at Rs. 90 per unit. Both the divisions have surplus production capacity. Division B can sell 7,200 units of X—30, If it reduces the selling price to Rs. 80 per unit. The manager of Division B has proposed to reduce the transfer price of X - 25 to Rs. 12 per unit.
Find out the contributions of the divisions and of the company at the —

(i)	Existing transfer price, and
(ii)	Proposed transfer price.

Define 'Residual Income' and state its disadvantages in Divisional Performance Appraisal.

Division Y of C Ltd. has employed Rs. 1,00,000 and earned an annual profit (after depreciation) of Rs. 18,000. The divisional manager is considering an investment of Rs. 10,000 in an asset which will have a ten-year life with no residual value and will earn a constant annual profit (after depreciation) of Rs. 1,000. The cost of capital is 15%.
Work out

(i)	the return on divisional investment and the divisional residual income before and after the new investment, and
(ii)	the net present value of the new investment (10-year annuity factor at 15% : 5.019).
Also comment on the results.