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pathfinder - The Institute of Chartered Accountants of Nigeria

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PATHFINDERQUESTION 7AWSOL engineering company uses 1,000 original metal cutting tools in its constructionat any given time. <strong>The</strong> actual cost <strong>of</strong> each tool is N1,500. <strong>The</strong> cost <strong>of</strong> replacing anindividual tool is N4,800 while the cost for group replacement is N2,000. <strong>The</strong> tablebelow shows the tool life relating to normal load and operating conditions if the entire1,000 tools are replaced at once.Month after replacement 1 2 3 4 5Cumulative percentage (%) <strong>of</strong> tools thatfailed by the end <strong>of</strong> the month 10 25 50 80 100You are required to:(a)Calculate:(i)<strong>The</strong> average lifetime <strong>of</strong> the tool and hence the average replacement per month(ii) <strong>The</strong> cost <strong>of</strong> individual replacement. (7 Marks)(b)Determine:(i)<strong>The</strong> number <strong>of</strong> failures in each month, to the nearest whole number,given that the failures are replaced and hence determine the cost <strong>of</strong>group replacement(ii) Average monthly cost. (7 Marks)(c)Recommend the replacement policy based on your results in (a) and (b) above.(1 mark)(Total 15 marks)INTERMEDIATE EXAMINATION - NOVEMBER 201117

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