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Orchid Ltd has three types of shoes all of which require the same production facilities. Financial data on the three products are as follows: Product

Orchid Ltd has three types of shoes all of which require the same production facilities.

Financial data on the three products are as follows:

Product

X

Y

Z

Selling price per unit ()

90

110

160

Variable Material Cost per unit ()

26

15

28

Variable Labour Cost per unit ()

14

35

42

The share of Fixed overhead per unit ()

16

16

16

Labour time per unit (hours)

4 hrs

4 hrs

9 hrs

Monthly demand in units (units)

1,000 units

500 units

3,000 units

The same labour is used to produce all three products and hence, fixed cost is not affected.

The business has labour hour capacity of 7,800 hours per month.

Total fixed cost per month is 44,700.

Required:

A) With supported workings, show which combination of products to be produced to achieve the highest profit for the company.

Clearly show your workings which show the no of units to be produced, total contribution and total profit/(loss). (Total: 20 marks)

B) If the business were to produce only product Y for the next month:

- How many units of product Y should be produced to break- even? (Note: Assume for this part of the question that there is no effective limit to market size and staffing level)

- What is is the contribution margin ratio % for product Y?

- How many units of product Y should be sold by Orchid Ltd in order to achieve a target profit of 75,000 per month.

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