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# Randi sells forklifts at a dealership where she makes a base salary of

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Math Expert
Joined: 02 Sep 2009
Posts: 56300
Randi sells forklifts at a dealership where she makes a base salary of  [#permalink]

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19 Aug 2018, 09:37
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Difficulty:

45% (medium)

Question Stats:

60% (02:46) correct 40% (02:55) wrong based on 17 sessions

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Randi sells forklifts at a dealership where she makes a base salary of \$2,000 per month, plus a commission equal to 5% of the selling price of the first 10 forklifts she sells that month, and 10% of the value of the selling price of any forklifts after that. If all forklifts have the same sale price, s, which of the choices below represents Randi’s monthly pay, P, as a function of number of forklifts sold, f, in months in which she sells more than 10 forklifts? (Assume Randi’s pay is made up entirely of base salary and commission, and no deductions are taken from this pay.)

(A) P = 2,000 + 0.05sf + 0.10sf
(B) P = 2,000 + 0.05sf + 0.10s(f – 10)
(C) P = 2,000 + 0.05s + 0.10s(f – 10)
(D) P = 2,000 + 0.5s + 0.10sf – 10
(E) P = 2,000 + 0.5s + 0.10s(f – 10)

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Re: Randi sells forklifts at a dealership where she makes a base salary of  [#permalink]

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19 Aug 2018, 11:40
Bunuel wrote:
Randi sells forklifts at a dealership where she makes a base salary of \$2,000 per month, plus a commission equal to 5% of the selling price of the first 10 forklifts she sells that month, and 10% of the value of the selling price of any forklifts after that. If all forklifts have the same sale price, s, which of the choices below represents Randi’s monthly pay, P, as a function of number of forklifts sold, f, in months in which she sells more than 10 forklifts? (Assume Randi’s pay is made up entirely of base salary and commission, and no deductions are taken from this pay.)

(A) P = 2,000 + 0.05sf + 0.10sf
(B) P = 2,000 + 0.05sf + 0.10s(f – 10)
(C) P = 2,000 + 0.05s + 0.10s(f – 10)
(D) P = 2,000 + 0.5s + 0.10sf – 10
(E) P = 2,000 + 0.5s + 0.10s(f – 10)

We can write the equation as 2000 + 5/100 * 10 * s + 10/100 * (f-10) * s

Simplifying the equation, we get => 2000 + 0.5s + 0.10s(f-10) , which matches option E.
Re: Randi sells forklifts at a dealership where she makes a base salary of   [#permalink] 19 Aug 2018, 11:40
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