from diff math doc. oa coming when some people answer with explanations:
Machine A can produce 50 components a day while
machine B only 40. The monthly maintenance cost for
machine A is $1500 while that for machine B is $550. If
each component generates an income of $10 what is the
least number of days per month that the plant has to work
to justify the usage of machine A instead of machine B?
(A) 6
(B) 7
(C) 9
(D) 10
(E) 11
Difficult Math Problem #104 - Work
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- jayhawk2001
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Let x be the number of days per month required for A to generate more
revenue than B
(50 * 10 * x - 1500) - (40 * 10 * x - 550) > 0
Solving for x
500x - 1500 - 400x + 550 > 0
100x - 950 > 0
or
x > 9.5
So answer should be D (10 days)
revenue than B
(50 * 10 * x - 1500) - (40 * 10 * x - 550) > 0
Solving for x
500x - 1500 - 400x + 550 > 0
100x - 950 > 0
or
x > 9.5
So answer should be D (10 days)
I think that the answer would be 10, (D).
Machine A will generate 50 * $10 = $500/day
Machine B will generate 40* $10 = $400/day
So every day that they both run, machine A makes $100 more revenue. The difference in maintenance cost is $950, so in order to justify using Machine A, it will have to run for at least 10 days which will result in $1000 extra revenue.
That $1000 will offset the difference in maintenance costs plus give added revenue.
Machine A will generate 50 * $10 = $500/day
Machine B will generate 40* $10 = $400/day
So every day that they both run, machine A makes $100 more revenue. The difference in maintenance cost is $950, so in order to justify using Machine A, it will have to run for at least 10 days which will result in $1000 extra revenue.
That $1000 will offset the difference in maintenance costs plus give added revenue.
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The problem can be solved as a word problem
Machine A produces 50 components on a daily basis each at $10
therefore, Machine A will generate 50 * $10 = $500 on a daily basis
Machine B on the other hand produce 40components in a day each at $10
machine B will generate 40 * $10 = $400
monthly maintenance fee of A is $1500
monthly maintenance fee of B is $ 550
Based on their daily productivity, A earn $100 more than B
difference in the maintenance cost is $1500 - $550 = $950
for us to justify the usage of Machine A over B, let us consider the difference in the income earned by A on a daily basis. i.e $10
machine A spend more on maintenance and will only to operate for at least of 10 days which will gives $100 turnover and will cover for the difference in maintenance cost between A and B.
Machine A produces 50 components on a daily basis each at $10
therefore, Machine A will generate 50 * $10 = $500 on a daily basis
Machine B on the other hand produce 40components in a day each at $10
machine B will generate 40 * $10 = $400
monthly maintenance fee of A is $1500
monthly maintenance fee of B is $ 550
Based on their daily productivity, A earn $100 more than B
difference in the maintenance cost is $1500 - $550 = $950
for us to justify the usage of Machine A over B, let us consider the difference in the income earned by A on a daily basis. i.e $10
machine A spend more on maintenance and will only to operate for at least of 10 days which will gives $100 turnover and will cover for the difference in maintenance cost between A and B.