KUMA makes three products X, Y, and Z. All three products must be offered for sale each month in order to provide a complete market service. The products are fragile and their quality deteriorates rapidly once they are manufactured.

The products are produced on two types of machine and worked on by a single grade of direct labour. Five direct employees are paid Ghc 8 per hour for a guaranteed minimum of 160 hours each per month.

All of the products are first molded on a machine type 1 and then finished and sealed on a machine type 2.

The machine hours requirements for each of the products are as follows.

		Produce X	Product Y	Product Z
		Hours per unit	Hours per unit	Hours per unit
Machine type 1		1.5	4.5	3.0
Machine type 2		1.0	2.5	2.0

The capacity of the available machine type 1 and 2 are 600 hours and 500 hours per month respectively.

Details of the selling price, unit cost and monthly demand for the three products are as follows

Product H		Product Y		Product C
Ghc per unit		Ghc per unit		Ghc per unit
Selling price 91		174		140
Component cost 22		19		16
Other direct material cost 23		11		14
Direct labour cost at per hour 6		48		36
Overheads 24		62		52
Profit 16		34		22
Maximum monthly demand units 120		70		60

Although KUMA uses marginal costing and contribution analysis as the basis for its decisionmaking activities, profits are reported in the monthly management accounts using the absorption costing basis. Finished goods inventories are valued in the monthly management accounts at full absorption cost.

Required:

1. Calculate the machine utilization rate for each machine each month and explain which of the machine is the bottleneck/limiting factor (7 marks)
2. Using the current system of marginal costing and contribution analysis, calculate the profit maximizing monthly output of the three products. (8 marks)