You have been engaged with PQR Ltd, a manufacturing company to provide advice on the most profitable production plan for the company.

The company makes three products Alpha, Beta and Gamma and the appropriate data are as follows for the year 2021:

Cost per unit and selling price

	Alpha	Beta	Gamma
	RM	RM	RM
Direct Material Cost	70	120	75
Direct Labour Cost
Operation 1 (RM3 per direct labour hour)	18	24	30
Operation 2 (RM4 per direct labour hour)	20	16	12
Variable Overhead Cost
Operation 1 (RM1.50 per direct labour hour)	9	12	15
Operation 2 (RM2 per direct labour hour)	10	8	6
Fixed Overhead	33	36	39
Selling Price	197.00	275.00	228.00

	Alpha	Beta	Gamma
Budgeted volume per annum	600	400	800

There is a constraint on the direct labour hours for Operation 1 which is limited to 12,000 direct labour hours.

The sales director has already accepted an order for 100 ALPHA, 200 BETA and 400 GAMMA which must be supplied. These quantities are included in the market demand estimates above.

Identify any shortfall for the year 2021 based on the above information.

Determine the production units of each product in order to maximise profit

Calculate the maximum profit based on your answer obtained in (b) above