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A pen manufacturer produces pens at a cost of $6.00 each for the first

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A pen manufacturer produces pens at a cost of $6.00 each for the first  [#permalink]

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New post 24 Sep 2018, 04:45
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A pen manufacturer produces pens at a cost of $6.00 each for the first 200 pens and $4.50 for each additional pen. If 1000 pens were produced by the manufacturer and sold for $9.00 each, what was the manufacturer’s gross profit?

(A) $2500
(B) $3500
(C) $4200
(D) $5550
(E) $6600

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Re: A pen manufacturer produces pens at a cost of $6.00 each for the first  [#permalink]

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New post 24 Sep 2018, 07:47
Bunuel wrote:
A pen manufacturer produces pens at a cost of $6.00 each for the first 200 pens and $4.50 for each additional pen. If 1000 pens were produced by the manufacturer and sold for $9.00 each, what was the manufacturer’s gross profit?

(A) $2500
(B) $3500
(C) $4200
(D) $5550
(E) $6600


Cost of first 200 pens=(200)($6.00)= $1200
Cost of 800 remaining pens:(800)($4.50)= $3600
Total Cost: $4800
Revenue=(1000)($9.00)=$9,000
Gross Revenue=Revenue-Cost=$4200
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Re: A pen manufacturer produces pens at a cost of $6.00 each for the first  [#permalink]

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New post 24 Sep 2018, 11:18
9*1000 - 200(6)+800(4.50)

4200
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Re: A pen manufacturer produces pens at a cost of $6.00 each for the first  [#permalink]

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New post 27 Sep 2018, 16:21
Bunuel wrote:
A pen manufacturer produces pens at a cost of $6.00 each for the first 200 pens and $4.50 for each additional pen. If 1000 pens were produced by the manufacturer and sold for $9.00 each, what was the manufacturer’s gross profit?

(A) $2500
(B) $3500
(C) $4200
(D) $5550
(E) $6600


The profit was:

9 x 1000 - [6 x 200 + 4.5 x 800] = 9000 - 1200 - 3600 = 4200

Alternate Solution:

For the first 200 pens, the manufacturer made a gross profit of $9 - $6 = $3 per pen, for a total of 200 x 3 = $600.

For the remaining 800 pens, the manufacturer made a gross profit of $9 - $4.50 = $4.50 per pen, for a total of 800 x 4.50 = $3600.

Thus, the gross profit for the sale of the 1000 pens was $600 + $3600 = $4200.

Answer: C
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Re: A pen manufacturer produces pens at a cost of $6.00 each for the first &nbs [#permalink] 27 Sep 2018, 16:21
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