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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Andrew sells vintage clothing at a flea market at which he tagged by: AAPL ##### This topic has 3 expert replies and 0 member replies ### Top Member ## Andrew sells vintage clothing at a flea market at which he ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Manhattan Prep Andrew sells vintage clothing at a flea market at which he pays$150 per day to rent a table plus $10 per hour to his assistant. He sells an average of$78 worth of clothes per hour. Assuming no other costs, which of the functions below best represents profit per day, P, in terms of hours, h, that the flea market table is open for business?

A. P(h) = 238 - 10h
B. P(h) = 72 - 10h
C. P(h) = 68h - 150
D. P(h) = 78h - 160
E. P(h) = -160h + 78

OA C

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AAPL wrote:
Manhattan Prep

Andrew sells vintage clothing at a flea market at which he pays $150 per day to rent a table plus$10 per hour to his assistant. He sells an average of $78 worth of clothes per hour. Assuming no other costs, which of the functions below best represents profit per day, P, in terms of hours, h, that the flea market table is open for business? A. P(h) = 238 - 10h B. P(h) = 72 - 10h C. P(h) = 68h - 150 D. P(h) = 78h - 160 E. P(h) = -160h + 78 Let h=3. Since an average of$78 is sold per hour, the total revenue for 3 hours = 3*78 = 234.
Since the cost for the day is composed of $150 for the table rental and$10 per hour for the assistant, the cost for the day = 150 + 3*10 = 180.
P = profit = revenue - cost = 234 - 180 = 54.

The correct answer must yield P=54 when h=3.
Only C works:
P = 68h - 150 = 68*3 - 150 = 204 -50 = 54.

The correct answer is C.

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AAPL wrote:
Manhattan Prep

Andrew sells vintage clothing at a flea market at which he pays $150 per day to rent a table plus$10 per hour to his assistant. He sells an average of $78 worth of clothes per hour. Assuming no other costs, which of the functions below best represents profit per day, P, in terms of hours, h, that the flea market table is open for business? A. P(h) = 238 - 10h B. P(h) = 72 - 10h C. P(h) = 68h - 150 D. P(h) = 78h - 160 E. P(h) = -160h + 78 $$\left\{ \matrix{ \,{\rm{constant}} = {{\ \,\,150} \over {1\,\,{\rm{day}}}} \hfill \cr \,{\rm{variable}} = {{\ \,\,10} \over {1\,\,{\rm{hour}}}} \hfill \cr} \right.$$ $$?\,\,\,\, = \,\,\,\,{\rm{profit}}\,\,{\rm{per}}\,\,{\rm{day}}\left( {\rm{h}} \right)\,\,\,\, = \,\,\,\,{{\left( {{\rm{revenue}} - {\rm{cost}}} \right)} \over {1\,\,{\rm{hour}}}}\,\, \cdot \,\,{\rm{h}}\,{\rm{hours}}\,\,\, - \,\,\,{\rm{constant}}\,\,\,\,\,\left[ \ \right]$$ $$?\,\,:\,\,{{\ \left( {78 - 10} \right)} \over {1\,\,{\rm{hour}}}} \cdot {\rm{h}}\,\,{\rm{hours}} - \ 150\,\,\,\, \Rightarrow \,\,\,\,P\left( {\rm{h}} \right) = 68{\rm{h}} - 150\,\,\,\,\,\left[ \ \right]$$ This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2791 messages Followed by: 18 members Upvotes: 43 AAPL wrote: Manhattan Prep Andrew sells vintage clothing at a flea market at which he pays$150 per day to rent a table plus $10 per hour to his assistant. He sells an average of$78 worth of clothes per hour. Assuming no other costs, which of the functions below best represents profit per day, P, in terms of hours, h, that the flea market table is open for business?

A. P(h) = 238 - 10h
B. P(h) = 72 - 10h
C. P(h) = 68h - 150
D. P(h) = 78h - 160
E. P(h) = -160h + 78

OA C
The daily revenue will be 78h dollars, and the daily cost is (150 + 10h) dollars. Therefore, the daily profit is P(h) = 78h - (150 + 10h) = 68h - 150 dollars.

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