Cpa Section Iv Quantitative Analysis Question Paper

Cpa Section Iv Quantitative Analysis

Course:Cpa Part Ii

Institution: Pinnacle Business School question papers

Exam Year:2011

CPA Part II Section 4
Quantitative Analysis
Calculus- Differentials &Integral

Question 1

A firm's demand function is given as P=24-3x
Where P=price and x=quantity produced and sold.

Required
Determine the output for maximum revenue and show it as a maximum. What is the price at maximum revenue?

Question 2
The demand for a particular commodity is given by

P=15e- x/3 for 0<x<9

P=price x=quantity.

Required
Determine the price and quantity for which revenue is maximum and price elasticity of demand at that point and interpret it.

Question 3

Two competing soap bars X and Y are manufactured by a monopolist.
Their profiles are as follows:

Product X:
Variable cost per unit= Shs. 9
Price= Px
Demand function: x=2(Py-Px)+4

Product Y:
Variable cost per unit= Shs. 12
Price= Py
Demand Function Y= (Px/4- 5Py/2)+52

Required
Determine the prices Px and Py which will maximize total joint profit and the maximum profit.

Question 4
A firm finds the marginal revenue is given by the expression 20-2q while the marginal cost is given by the expression 4q-10. Its fixed costs are Shs. 30. q represents quantities of output produced and sold.

Required
Determine the following:
a. Total revenue, total cost and hence profit function
b. Profit maximizing
i. Output
ii. Price
iii. The maximum profit

c. Average total cost at profit maximizing output

d. Break even profit

Question five

a. Find the area bounded by Y=4, X=5, and the Y axis

b. Find the area under the function Y=7.5 between X=2 and X=6

c. Find the area bound by the function Y=3x between x=0 and x=10

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