In the first week of last month, Company X realized an average wholesale profit of $5304 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y's sale price and cost per unit?
$3
$4
$7
$11
$51
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Product Y
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alex.gellatly
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The question asks for profit per unit.
Profit per unit = P = ((5304 * 7)/q)
We know that 'q' is an integer
q = ((5304 * 7)/P) => (5304 * 7) has to be divisible by
P. $11 doesn't satisfy this condition and hence it has to
be the answer
HTH
Profit per unit = P = ((5304 * 7)/q)
We know that 'q' is an integer
q = ((5304 * 7)/P) => (5304 * 7) has to be divisible by
P. $11 doesn't satisfy this condition and hence it has to
be the answer
HTH
alex.gellatly wrote:In the first week of last month, Company X realized an average wholesale profit of $5304 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y's sale price and cost per unit?
$3
$4
$7
$11
$51
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Anurag@Gurome
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Say, the cost per unit is C and sale price per unit is S.alex.gellatly wrote:In the first week of last month, Company X realized an average wholesale profit of $5304 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y's sale price and cost per unit?
So, (qS - qC) = 5304*7
--> q(S - C) = 5304*7
--> q = (5304*7)/(S - C)
As q is an integer, (S - C) must completely divide 5304*7 or (S - C) must be a factor of 5304*7
Only 11 is not a factor of 5304*7
The correct answer is D.
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Question rephrased: What was the amount of profit per unit?In the first week of last month, Company X realized an average wholesale profit of $5304 per day from the
sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y's sale
price and cost per unit?
$3 $4 $7 $11 $51
Total profit over 7 days = 5304*7 = (2*3*4*13*17)*7.
This product is a multiple of every answer choice except for 11.
Thus, it is not possible that the profit per unit was $11.
The correct answer is D.
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I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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