adds math project 2010(tugasan 3)

8/9/2019 Adds math project 2010(tugasan 3)

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May30SPM Form 5 Add Maths Project 2010 - Tugasan 3

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BACKGROUND

Every business requires some form of investment and a sufficient number of customers to buy its products or services that give profits on a continuous basis. When pricing

experts set a selling price for a new product, their goal is to maximize profits. They begin by estimating the demand for the product at various selling prices. Generally, the

demand for a product will increase as the selling price decreases.

PART 1

Table 1 shows the various selling prices and estimated demand for a particular computer component manufactured by a company, Warisan RMN.

(a) Determine the relationship between the demand, d, and the selling price, s, by plotting a graph based on the values displayed in Table 1. Plotting of the graph can be done

manually, using computer software such as Microsoft Excel or graphing calculator. Interpret the graph, discuss and write a brief explanation on the relationship between the

demand and the selling price of the computer components manufactured by the company.

(b) Assuming that the production cost of the computer component is RM50 per unit, express the yearly profit, Y, in terms of the selling price, s. Comment on your answer. [Note:

Total Profit = Total Sales Total Cost]

(c) Use two or more methods to determine the maximum profit and the corresponding selling price. Explain your answers.

(d) Further, determine the number of the computer components to be manufactured by the company in order to gain maximum profit.


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PART 2

In year 2009, Warisan RMN made a profit of RM200 000. The company intends to increase its production in year 2010, and therefore needs a substantial amount of money for

capital

investment.

As manager of the company, you have to decide on the amount of loan and the period of the loan to be taken for the purpose mentioned above.

Table 2 shows part of a monthly repayment schedule for a commercial loan from Bank A:


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(a) Based on Table 2, calculate the total amount of interest incurred for each choice of repayment period and their corresponding amount of loan. Tabulate the values in Table

3.


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(b) Based on your findings in (a) calculate the average interest rate per month. Tabulate your results and comment on your findings.

(c) Further, tabulate the amount of yearly repayment for each choice of repayment period up to 5 years for loan amounts from RM10 000 to RM100 000. By observing the total

annual payment for 12 months, show that the annual payment for loan amount of RM10 000, RM15 000, RM20 000 and so on form a progression.

(d) The company allocated only 20% of the profit made in the year 2009 on loan repayment period per annum. Assume that the company continues to make an annual profit of

RM200 000 in the following years.

(i) Based on your table in (c), determine the maximum amount of loan, in multiples of RM5000, for each choice of repayment period: 1 year, 2 years, 3 years, 4 years and 5

years.

(ii) Hence, determine which loan option should the company take, and elaborate on your reasons.

(e) The company has set aside a reserve fund of RM50 000 in a bank and earns monthly interest beginning 1st January 2010.

Assuming that the bank gives an annual interest of 2.5%; determine the amount of the reserve fund at the end of each month until 31St December 2010.


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FURTHER EXPLORATION

Look into other commercial loans or other financial sources available in the market that may be utilized by the company for its capital investment. (Example: Overdraft, Islamic

Loan) Discuss the advantages and disadvantages of the different types of loans available.

REFLECTION

While you were conducting the project, what have you learnt? What moral values did you practise? Represent your opinions or feelings creatively through usage of symbols,

illustrations, drawings or even in a song.

adds math project 2010(tugasan 3)

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