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Joined: 04 Jan 2015
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On a particular day, three Machines, A, B and C, which produce a....
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Updated on: 29 Oct 2018, 23:32
Question Stats:
82% (02:02) correct 18% (02:48) wrong based on 107 sessions
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On a particular day, three Machines, A, B and C, which produce a product, P, can be used simultaneously, to produce 100 units of P. Each Machine cannot produce more than 40 units in a day. The cost of production per unit of product P by A, B and C are $20, $10 and $5, respectively. What is the ratio of minimum cost to maximum cost incurred, if all 100 units of P are to be produced in a single day? A. 1/4 B. 1/2 C. 13/20 D. 10/13 E. 13/10
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Re: On a particular day, three Machines, A, B and C, which produce a....
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27 Sep 2018, 08:21
Max units from any machine is 40. To minimize the cost , maximize a and b = 40*5 + 40*10 + 20*20 = 1000 To maximize the cost , maximize b and c = 20*5 + 40*10 + 4*20 = 1300 Ratio = 10:13



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Re: On a particular day, three Machines, A, B and C, which produce a....
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03 Oct 2018, 05:09
Solution Given:• On a particular day, machines A, B and C are used to produce 100 units of a product, P • Each machine cannot produce more than 40 units, in a day • Cost of production per unit of P by machines A, B and C = $20, $10 and $5, respectively To find:• The ratio of minimum cost to maximum cost incurred, if all 100 units of P are to be produced in a single day Approach and Working: Minimum Cost: • Cost will be minimum, when machine A is used to produce the minimum possible number of units.
o Hence, A will produce 20 units, and both B and C will produce 40 units each • Thus, minimum cost = $20 * 20 + $10 * 40 + $5 * 40 = $1000
Maximum Cost: • Cost will be maximum, when machine C is used to produce the minimum possible number of units.
o Hence, C will produce 20 units, and both A and B will produce 40 units each • Thus, maximum cost = $20 * 40 + $10 * 40 + $5 * 20 = $1300 Therefore, ratio of minimum cost to maximum cost incurred = \(\frac{$1000}{$1300} = \frac{10}{13}\) Hence, the correct answer is Option D. Answer: D
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Re: On a particular day, three Machines, A, B and C, which produce a....
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03 Oct 2018, 05:09






