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Ucc 103: Introduction To Quantitative Techniques Question Paper

Ucc 103: Introduction To Quantitative Techniques

Course:Bma 101: Business Mathematics 1

Institution: St.Paul's University question papers

Exam Year:2017

QUESTION 1
a). Explain the terms Consumer Surplus and Producer Surplus. (5 marks)
b). Calculate the Consumers’ Surplus and Producers’ Surplus for a company whose demand and supply functions are RESPECTIVELY:
p=40x-x^2/2 and p=(5x^2)/2+38
(10 marks)
c)Evaluate:
?¦?(10x^2+x-26)dx? (5 marks)
QUESTION 2

A certain company has fixed costs of Kshs 15,000 for its product and variable cost by Kshs (140+0.04x) per unit, where x is the number of units. The selling price of the product is given by Kshs (300-0.06x) per unit.
i.)Find the break even points (3 marks)
ii). Find the level of sales that maximizes revenue (2 marks)
iii). Form the profit function and find the level of production and sales that maximizes profit. (3 marks)
iv)Find the profit (loss) at the production level in (iii) above. (2 marks)

Ucc 103: Introduction To Quantitative Techniques Question Paper

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