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# A person sells clothes. At the price of $20, he can sell 100  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: Senior Manager Joined: 22 May 2006 Posts: 375 Location: Rancho Palos Verdes Followers: 1 Kudos [?]: 28 [0], given: 0 A person sells clothes. At the price of$20, he can sell 100 [#permalink]  04 Aug 2006, 22:55
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A person sells clothes. At the price of $20, he can sell 100 clothes. For each dollar the price decreases, 10 more clothes will be sold. What can be his maximun revenue to obtain? A. 2000 B. 2240 C. 2250 D. 2270 E. 2300 _________________ The only thing that matters is what you believe. Last edited by freetheking on 05 Aug 2006, 00:20, edited 2 times in total. Director Joined: 13 Nov 2003 Posts: 793 Location: BULGARIA Followers: 1 Kudos [?]: 26 [0], given: 0 [#permalink] 04 Aug 2006, 23:52 20*100=2000 19*110=2090 18*120=2160 17*130=2210 16*140=2240 15*150=2250 14*160=2240 so at price of 15 the revenue would be max 2250 Senior Manager Joined: 22 May 2006 Posts: 375 Location: Rancho Palos Verdes Followers: 1 Kudos [?]: 28 [0], given: 0 Re: PS:Maximun revenue [#permalink] 05 Aug 2006, 00:13 How about following approach?? F(n) = (20-n)(100+10n) F(n) = 2000+100n-10n^2 = -10(n^2-10n-200) = -10[(n-5)^2-225] (concave down.. when n=5 maximun value) F(5) = -10*-225 = 2250 _________________ The only thing that matters is what you believe. Last edited by freetheking on 05 Aug 2006, 00:21, edited 1 time in total. Director Joined: 13 Nov 2003 Posts: 793 Location: BULGARIA Followers: 1 Kudos [?]: 26 [0], given: 0 [#permalink] 05 Aug 2006, 00:16 Not bad, but the Q asks about the PRICE not the revenue Manager Joined: 20 Mar 2006 Posts: 200 Followers: 1 Kudos [?]: 1 [0], given: 0 Re: PS:Maximun revenue [#permalink] 05 Aug 2006, 13:25 freetheking wrote: A person sells clothes. At the price of$20, he can sell 100 clothes. For each dollar the price decreases, 10 more clothes will be sold. What can be his maximun revenue to obtain?
A. 2000
B. 2240
C. 2250
D. 2270
E. 2300

@ $20 Revenue =2000 @$19 Revenue =2090 (19*110)
@ $18 Revenue =2160 (18*120) @$17 Revenue =2210 (17*130)
@ $16 Revenue =2240 (16*140) @$15 Revenue =2250 (15*150)

Hence C

Heman
Re: PS:Maximun revenue   [#permalink] 05 Aug 2006, 13:25
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