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# Last year, a certain company began manufacturing product X

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Intern
Joined: 20 May 2012
Posts: 20
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Kudos [?]: 29 [0], given: 9

Last year, a certain company began manufacturing product X [#permalink]

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05 Jun 2012, 15:09
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55% (hard)

Question Stats:

68% (02:28) correct 32% (02:15) wrong based on 28 sessions

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Last year, a certain company began manufacturing product X and sold every unit of product X that it produced. Last year the company's total expenses for manufacturing product X were equal to $100,000 plus 5% of the company's total revenue from all units of product X sold. If the company made a profit on product X last year, did the company sell more than 21000 units of product X? (1) The company's total revenue from the sale of product X last year was greater than$110,000
(2) For each unit of product X sold last year, the company's revenue was $5 [Reveal] Spoiler: OA Kellogg MMM ThreadMaster Joined: 29 Mar 2012 Posts: 324 Location: India GMAT 1: 640 Q50 V26 GMAT 2: 660 Q50 V28 GMAT 3: 730 Q50 V38 Followers: 30 Kudos [?]: 439 [2] , given: 23 Re: Yes/No data DS [#permalink] ### Show Tags 05 Jun 2012, 22:09 2 This post received KUDOS Hi, It is given that the total expense for the company = 100,000 + 5% of total revenue (let say, x) Also, the project made profit. Profit = Total revenue - expenses = x - (100000 + 0.05x) = 0.95x - 100000 Since profit > 0 therefore, 0.95x - 100000 > 0 ...(a) using (1) The company's total revenue from the sale of product X last year was greater than$110,000,
we can only check whether 0.95x - 100000 is positive or not. Insufficient.

using (2) For each unit of product X sold last year, the company's revenue was \$5,
lets find the minimum number of units,
number of units = total revenue/5 = x/5
or 0.95(x/5) - 100000 >0 ....(from (a))
or x > 21052, thus x is greater than 21000. Sufficient.

Regards,
Re: Yes/No data DS   [#permalink] 05 Jun 2012, 22:09
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# Last year, a certain company began manufacturing product X

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