Business Mathematics & Statistics Worksheets - (S-203) Spring (Summer) 2009 Examinations - Institute Of Cost And Management Accountants Of Pakistan
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3INSTITUTE OF COST AND MANAGEMENT ACCOUNTANTS OF PAKISTAN
Spring (Summer) 2009 Examinations
Monday, the 25th May 2009
BUSINESS MATHEMATICS & STATISTICS – (S-203)
Stage-2
Time Allowed – 2 Hours 45 Minutes
Maximum Marks – 80
(i) Attempt ALL questions.
(ii) Answers must be neat, relevant and brief.
(iii) In marking the question paper, the examiners take into account clarity of exposition, logic of
arguments, effective presentation, language and use of clear diagram / chart, where
appropriate.
(iv) Read the instructions printed on the top cover of answer script CAREFULLY before
attempting the paper.
(v) Use of non-programmable scientific calculators of any model is allowed.
(vi) DO NOT write your Name, Reg. No. or Roll No. anywhere inside the answer script.
(vii) Question No.1 – “Multiple Choice Question” printed separately, is an integral part of this
question paper.
Marks
SECTION - A
Q. 2
(a)
Solve the following equations by inverse of matrix method:
4x + 5y = 23
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3x + 2y = 12
(b)
A firm sells two products. The annual total revenue R behaves as a function of the
number of units sold. Specifically:
2
2
R = 400x – 4x
+ 1960y – 8 y
Where x and y equal, respectively, the number of units sold of each product.
The cost of producing the two products is:
2
2
C = 100 + 2x
+ 4 y
+ 2xy
Required:
Determine the number of units, which should be produced and sold in order to maximize the
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annual profit.
(c)
A firm sells a product for Rs.45 per unit. Variable cost per unit is Rs.33 and fixed
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cost equals Rs.450,000. How many units must be sold in order to breakeven?
th
(d)
(i) Find 20
term of the series 1, 3, 5, 7, 9, ……………….
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(ii) What will be the sum of 20 terms in (i) above?
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(e)
Resolve the following into partial fraction:
7x – 19
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(x – 2) (x – 3)
PTO
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