Vincen 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?
(A) $3
(B) $4
(C) $7
(D) $11
(E) $51
D is the OA.
I am confused. I got and answer which is not in the list. I need help.
Profit per day = $5304, thus, profit per week = $7*5304
We know that the difference between Product Y's sale price and cost per unit is profit per unit
This, Profit per unit = profit per week / number of units sold = (7*5304) / q
=> q = (7*5304) / Profit per unit
Since q is a positive integer, (7*5304) must be divisible by 'Profit per unit'.
One of the ways is to factorise 7*5304 and see which integers (Profit per unit) divide it completely. The option value, not a factor of 7*5304, is the correct answer.
7*5304 = 7*2^3*3*13*17
We see that option D (11) is not a factor of (7*5304) -- the correct answer.
The correct answer:
D
Hope this helps!
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