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NOUN POP Past Questions: MGS729 - Business Mathematics

Posted: Fri Apr 13, 2018 7:21 am
by admin
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COURSE TITLE: Business Mathematics



INSTRUCTIONS: 1. Attempt question number one (1) and any other (2) questions.

Question number 1 carries 30 marks, while the other two (2) questions carry 20 marks each.
Present all your points in coherent and orderly manner.

Greene C shows the following information in its 2012 income statement: Sales = #138,000, Costs = #71,500, Other expenses = #4,100
Depreciation expense = #10,100, Interest expense #7,900, Taxes = #17,760

Dividends = #5,400.

In addition, you’re told that the firm issued #2,500 in new equity during 2012,

and redeemed #3,800 in outstanding long-term debt

a. What is the 2012 operating cash flow? 10marks
What is the 2012 cash flow to creditors? 5marks

c. What is the 2012 cash flow to stockholders? 5marks
If net fixed assets increased by #17,400 during the year, what was the addition to NWC? 10marks

2a. Discuss Simple and Compound Interest 10marks

Suppose you invest #2000 at an annual interest rate of 6%. Find your balance at the end of
1st year if interest is compounded; a) Yearly b) Semiannually c) Quarterly d) Monthly


3a. Define the following with example

(i) Rational Numbers 3marks

(ii) Natural Numbers 3marks

(iii) Prime Numbers 3marks

(iv) Decimals and Real Numbers 3marks

(v) Absolute Value 3marks

State the basic principles of matrix or algebra 5marks
The purchasing department of a big company has analysed the number of orders placed by each of the 5 departments in the company by type as follows: 20marks
Departmental Orders

Type of Order Department

Sales Purchasing Production Accounts Maintenance Total

Consumables 10 12 4 8 4 38

Equipment 1 3 9 1 1 15

Special 0 0 4 1 2 7

Total 11 15 17 10 7 60

An error has been found in one of these orders. What is the probability that the incorrect order:

a) came from maintenance?
b) came from production?
c) came from maintenance or production?
d) came from neither maintenance nor production?

5a. Explain the requirements for Linear Programming 10marks

Suppose the prices in N per unit for products A,B, and C are represented by the price matrix:

Price of


P =[2 3 4] (1×3)

The quantities purchased are given by the quantity matrix:

Compute the total expenditure on the products. 10marks

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