The management of a business is concerned about its inability to obtain enough fully trained labour to enable it to meet its present budget projection for its three services, Alpha, Beta and Gamma.

9.1 Exercises Alpha Beta Gamma Total

£000 £000 £000 £000 Variable costs Materials 6 4 5 15 Labour 9 6 12 27 Expenses 3 2 2 7 Allocated fixed costs 6 15 12 33 Total cost 24 27 31 82 Profit 15 2 2 19 Sales revenue 39 29 33 101 The amount of labour likely to be available amounts to £20,000. All of the variable labour is paid at the same hourly rate. You have been asked to prepare a statement of plans ensuring that at least 50 per cent of the budgeted sales revenues are achieved for each service, and the balance of labour is used to produce the greatest profit.

Required:

(a) Prepare a statement, with explanations, showing the greatest profit available from the limited amount of skilled labour available, within the constraint stated. Hint: Remember that all labour is paid at the same rate.