Question 1

THS produces two products from different combinations of the same resources. Details of the products are shown below:

Identify, using graphical linear programming, the optimal production plan for products E and R to maximize THS's profit in the month.

Options :

A : The solution (from the graph0 is to produce 675 units of E and 470 units of R.

B : The solution (from the graph0 is to produce 495 units of E and 670 units of R.

C : The solution (from the graph0 is to produce 475 units of E and 770 units of R.

D : The solution (from the graph0 is to produce 375 units of E and 750 units of R.

E : The solution (from the graph0 is to produce 375 units of E and 870 units of R.

F : The solution (from the graph0 is to produce 495 units of E and 470 units of R.

Answer: D

Question 2

A university is trying to decide whether or not to advertise a new post-graduate degree programme. The number of students starting the programme is dependent on economic conditions. If conditions are poor, it is expected that the programme will attract 40 students without advertising. There is a 60% chance that economic conditions will be poor. If economic conditions are good it is expected that the programme will attract only 20 students without advertising. There is a 40% chance that economic conditions will be good.

If the programme is advertised and economic conditions are poor, there is a 65% chance that the advertising will stimulate further demand and student numbers will increase to 50. If economic conditions are good, there is a 25% chance the advertising will stimulate further demand and numbers will increase to 25 students.

The profit expected, before deducting the cost of advertising, at different levels of student numbers are as follows:

The cost of advertising the programme will be $15,000.

Required:

Demonstrate, using a decision tree, whether the programme should be advertised.

Options :

A : Yes, the programme should be advertised as the profit will be $82000

B : Yes, the programme should be advertised as the profit will be $92000

C : No, the programme should not be advertised as there will be a loss $82000

D : No, the programme should not be advertised as there will be a loss $92000

Answer: A

Question 3

The labour requirement for a special contract is 250 skilled labour hours paid at $10 per hour and 750 semi-skilled labour hours paid at $8 per hour.
At present, skilled labour is fully utilised on other contracts which generate a $12 contribution per hour, after charging labour costs. Additional skilled labour is unavailable in the short term.
There is a surplus of 1,200 semi-skilled hours over the period of the contract but the firm has a policy of no redundancies.
The relevant cost of labour for the special contract is:

Options :

A : $ 5,500

B : $ 3,000

C : $ 8,500

D : $ 11,500

Answer: A

Question 4

D3 makes 2 types of toilets - the Executive (Ex) and the Classic (CI). Direct labour costs $6 per hr and overheads are absorbed on a machine hour basis. The overhead absorption rate for the period is $28 per machine hour. What is the traditional cost per unit for (Ex) and (CI)?

Options :

A : (Ex) 60, (CI) 56

B : (Ex) 58, (CI) 53

C : (Ex) 65, (CI) 49

D : (Ex) 62, (CI) 52

E : (Ex) 63, (CI) 48

Answer: C

Question 5

Information about a company's only two products is as follows:

The revenue from the products must be in the constant mix of 2U:3V. Budgeted monthly sales revenue is $110,000.
Fixed costs are $23,095 each month.
To the nearest $10, what is the budgeted monthly margin of safety in terms of sales revenue?

Options :

A : $35,500

B : $74,500

C : $12,140

D : $38,940

Answer: A

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