DMS 501: QUANTITATIVE ANALYSIS FOR BUSINESS - CAT Time-2 Hours SECTION A (ATTEMPT ALL QUESTIONS) 1. If the observations

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Dms 501 Quantitative Analysis For Business Cat Time 2 Hours Section A Attempt All Questions 1 If The Observations 1 (163.87 KiB) Viewed 19 times

DMS 501: QUANTITATIVE ANALYSIS FOR BUSINESS - CAT Time-2 Hours SECTION A (ATTEMPT ALL QUESTIONS) 1. If the observations of a variable X are, -120,-130,-14-144 and -236, then the value of the range will be: A. -222 (2 Marks) B. 222 C. 250 D. -250 E. -116 2. s and t are positive whole numbers. Matrix X is of orders by t. Matrix Y is of ordert by s. The matrix ducts XY and YX are both defined: (2 Marks) A. For no values of sandt B. When s is equal to t only C. When s is greater than t only D. When s is less than t only E. For all values of sandt 3. Mutuku Ero sells Akala shoes and Maasai rungus in his kibanda shop in Mara. The row vector matrix N = (20 44) lists the number of shoes (S) and rungus (R) that he has in stock in that order. The matrix C (200 180) lists the selling price (KSh) of one pair of shoes and one rungu, respectively. The matrix product, NCT, gives: (2 Marks) A. Total amount spent by Mutuku buying the stock of shoes and rungus B. Total number of pieces of shoes and rungus in stock C. Individual amounts that Mutuku would collect from selling shoes and rungus, respectively D. Total revenue were Mutuku to sell all shoes and all rungus in stock E. None of the above 4. The marriage annulment rate in a certain country is approximated by (2 Marks) D(t) = 1,0000.025 where D(t) is the number of annulments occurring at time t and t is the number of years 12 measured from 1970. That is, t = 0 corresponds to 1970, t = 30 corresponds to January 12, 2000, and so on. True or False, there were more marriage annulments from 1970 to 1995 than from 1995 to 2020? 5. A music promoter sells tickets and has a revenue function (R) given by R = 3q2 + 1659 and profit function () given by TT = q? + 1159-600 where R and i are in Kenya shillings and q is the number of tickets sold. (3 Marks) What is marginal cost when 25 tickets are sold? 365