a) A company produces whitening soap. The marginal cost and marginal revenue functions of the

product are given as follows.

Total cost: C(x) = 2000x2 + 4000x

Marginal revenue: R(x) = 28000 10000x

Where x is the number of units produced and sold.

Find the quantity that will maximize profit if the fixed cost of the product is RM100,000.

queation2: The weekly average cost function, AC(x) and the weekly marginal revenue function, R(x) of a

kitchen cabinet model produced by a company are given as follows.

Average cost: AC(x): 2x 60 + 360

Marginal revenue: R(x): -4x + 916

Where x is the level of production.

find

i: a weekly fixed coat

ii) the increas in revenue when the level of production is increased from 20 to 26 units

iii) tge level of production when the cost is minimized

iv) the weekly profit and price per unit when profit is maximized

QUESTION 1: a) A company produces whitening soap. The marginal cost and marginal revenue functions of the product are given as follows. Total cost: C(x) = 2000x + 4000x Marginal revenue: R'(x) = 28000 - 10000x Where x is the number of units produced and sold. Find the quantity that will maximize profit if the fixed cost of the product is RM100,000. (15 marks) b) The weekly average cost function, AC(x) and the weekly marginal revenue function, R'(x) of a kitchen cabinet model produced by a company are given as follows. 360 Average cost: AC(x): 2x - 60+ Marginal revenue: R'(x): -4x +916 X Where x is the level of production. Find: i. A weekly fixed cost (6 marks) ii. The increase in revenue when the level of production is increase from 20 to 26 units. (6 marks) iii. The level of production when the cost is minimized (7 marks) iv. The weekly profit and price per unit when profit is maximized. (6 marks) QUESTION 2: a) Differentiate interest charge based on "original balance" and "reducing balance. (10 marks) b) Sundram bought a water purifier listed at RM1200 cash through an instalment plan. He paid RM50 as a down payment. The balance was settled by making 18 monthly instalments. If the interest rate charged was 7% per annum on the original balance, find: i. The total interest charged. (6 marks) ii. The instalment price. (6 marks) iii. Monthly payment. (8 marks) (Total: 30 marks) QUESTION 3: a) Explain the following terms with appropriate example: i. Depreciation ii. Salvage value iii. Useful life iv. Accumulated depreciation V. Annual depreciation (3 marks) (3 marks) (3 marks) (3 marks) (3 marks) b) Create ONE (1) example of depreciation. Your example must be including: i. Expected life of 10 years. ii. Annual Rate of depreciation. iii. Depreciation schedule. (15 marks)