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SMK AMINUDDIN BAKI, KUALA LUMPUR

Section A [ 45 marks ]

Answer allquestion in this section.

1. Ramos obtains a 25-year mortgage on a house. The monthly payments are RM 2000 and

are based on at 6% interest rate per annum. Calculate.

a) the amount that he had borrowed. [ 3 marks ]

b) the interest that he has to pay. [ 3 marks ]

2. In a certain year, a bank pays 6.5% interest on savings accounts. If the interest is

compounded quarterly, find

a) the accumulated amount of a RM 4000 deposit in 5 years. [ 3 marks ]

b) total interest paid over the period. [ 3 marks ]

3. The demand equation for the product of a company is given by

Wherepis the price ( in RM) and qis the quantity of the product.

a) Find the revenue function. [ 2 marks ]

b) Determine the value of qat which the total revenue is maximised. [ 2 marks ]

c) What price should the company charge for the product to maximise revenue ?

[ 3 marks ]

4. A furniture manufacturer produces tables, sofas and chairs. The profits per item are RM 50,

RM 60, RM 20 respectively.

The following table shows the initial tableau for the maximisation of total profits, P. The

variable, represent the number of tables, sofas and chairs to be produced per

week.

Basis P Solution

P 1 -50 -60 -20 0 0 0 0

0 5 10 3 1 0 0 500

0 1 3 1 0 1 0 200

0 2 0 1 0 0 1 180

a) Based on the initial tableau given, formulate the linear programming model to determine

the number of tables, sofas and chairs that should be produced per week in order to

maximize the total profit.

[ 4 marks ]

b) Construct the subsequent tableaus until the optimal solution is obtained.

[ 6 marks ]

c) Hence, state the number of tables, sofas and chairs that should be produced per week in

order to maximize the total profit. State also the maximum profit.[2 marks ]

STPM 950/3

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5. A project for producing a system for student registration in a college involves seven activities.

The AOA network is shown below.

Draw Gnatt chart for the project. [ 8 marks ]

6. A company periodically replenishes paper for stock. The demand of paper is 516 rolls per

year. The ordering cost is RM 50 and holding cost is RM 4 per roll. Determine EOQ and

the optimal cycle time if it operates 320 days a year. [ 6 marks ]

10

0

25

5

44

17

32

9

5

14

14

620

20

A(5)

B(2)

C(4)F(3)

G(6)

D(9)

E(5)

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Section B[ 15 marks ]

Answer any onequestion in this section.

7. The following table shows the activities for a project and their preceding activities and

duration.

Activity Preceding activity Duration (weeks)

A - 2

B - 3

C - 6

D A 9

E B 5

F C 9

G B, D 5

H F 4

a) Draw an AON network diagram. [ 5 marks ]

b) Calculate the total float for each activity. Hence, determine the critical path and the

minimum completion time of the project of the project.

[ 7 marks ]

c) If activity E is delayed for 8 weeks, is there any effect on the completion time of the

project? Give a reason for your answer.

[ 3 marks ]

8. A company operates 300 days in a year. The annual demand of their best- selling productis 12000 units. The purchase price for the product is RM20 per unit. The ordering cost is

RM10 per unit, the holding cost is 20% and the shortage cost is 25%. The lead time to

receive an order is 5 working days.

a) Determine the optimum order quantity [ 4 marks ]

b) Determine the maximum number of backorders. [ 3 marks ]

c) Calculate the total annual inventory cost. [ 5 marks ]

d) Find the reorder point. [ 3 marks ]

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