GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Oct 2018, 05:28

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Machine A can produce 50 components a day while machine B only 40. The

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Manager
Joined: 05 Mar 2011
Posts: 106
Machine A can produce 50 components a day while machine B only 40. The  [#permalink]

### Show Tags

29 Nov 2011, 19:57
00:00

Difficulty:

45% (medium)

Question Stats:

62% (02:25) correct 38% (02:44) wrong based on 48 sessions

Machine A can produce 50 components a day while machine B only 40. The monthly maintenance cost for machine A is $1500 while that for machine B is$550. If each component generates an income of $10 what is the least number of days per month that the plant has to work to justify the usage of machine A instead of machine B? (A) 6 (B) 7 (C) 9 (D) 10 (E) 11 I picked d but am not sure as this qs does not have the answers given 500x - 1500 > 400x - 550 100x > 950 x > 9.5 M08-10 Manager Joined: 20 Aug 2011 Posts: 128 Re: Machine A can produce 50 components a day while machine B only 40. The [#permalink] ### Show Tags 30 Nov 2011, 03:46 1 1 Let no. of days worked be x Machine A monthly profit = 50*10*x - 1500 Machine B monthly profit = 40*10*x - 550 50*10*x- 1500 = 40*10*x - 550 100x = 950 x = 9.5 Machine A must work 9.5 days to make the amount of money as Machine B. D _________________ Hit kudos if my post helps you. You may send me a PM if you have any doubts about my solution or GMAT problems in general. Math Expert Joined: 02 Sep 2009 Posts: 50010 Re: Machine A can produce 50 components a day while machine B only 40. The [#permalink] ### Show Tags 23 Jul 2018, 23:48 1 2 Machine A can produce 50 components a day while Machine B only 40. The monthly maintenance cost for Machine A is$1500 while the cost for Machine B is $550. If each component generates an income of$10, what is the least number of days per month that the plant has to operate to justify the usage of Machine A instead of Machine B?

A. 6
B. 7
C. 9
D. 10
E. 11

Monthly maintenance costs for machine A and for machine B are fixed. Meaning that even if the plant doesn't operate at all it'll still have these maintenance costs. The questions basically asks about minimum # of days (d) that plant should operate so that the profit from A is more than or equal to the profit from B.

Profit from machine A in d days: $$50*10*d-1,500$$;

Profit from machine B in d days: $$40*10*d-550$$;

$$50*10*d-1,500 \ge 40*10*d-550$$, which leads to $$d \ge 9.5$$. Hence the minimum # of days is 10.

M08-10
_________________
Director
Joined: 20 Feb 2015
Posts: 793
Concentration: Strategy, General Management
Re: Machine A can produce 50 components a day while machine B only 40. The  [#permalink]

### Show Tags

24 Jul 2018, 02:42
ashiima wrote:
Machine A can produce 50 components a day while machine B only 40. The monthly maintenance cost for machine A is $1500 while that for machine B is$550. If each component generates an income of $10 what is the least number of days per month that the plant has to work to justify the usage of machine A instead of machine B? (A) 6 (B) 7 (C) 9 (D) 10 (E) 11 I picked d but am not sure as this qs does not have the answers given 500x - 1500 > 400x - 550 100x > 950 x > 9.5 M08-10 Just Trying TSD instead of T&M the relative difference in earning per day for Machine A and B = 50*10-40*10=100 The relative cost that Machine A has to cover= 1500-550=950 no of days required=950/100=9.5 ~10 Target Test Prep Representative Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 2830 Re: Machine A can produce 50 components a day while machine B only 40. The [#permalink] ### Show Tags 25 Jul 2018, 17:46 ashiima wrote: Machine A can produce 50 components a day while machine B only 40. The monthly maintenance cost for machine A is$1500 while that for machine B is $550. If each component generates an income of$10 what is the least number of days per month that the plant has to work to justify the usage of machine A instead of machine B?

(A) 6
(B) 7
(C) 9
(D) 10
(E) 11

We are given that Machine A can produce 50 components per day, and that each component brings revenue of $10 per component. Thus, we know that Machine A’s daily revenue is (50)(10) = 500. We are also given that Machine A’s maintenance fee is$1500 per month.

Machine B produces 40 components per day and each component brings revenue of $10 per component. Thus, we know that Machine B’s daily revenue is (40)(10) = 400. Machine B’s maintenance fee is$550 dollars per month.

Since we need to justify the usage of Machine A, we need to determine the minimum number of days it will take until Machine A’s profit is greater than Machine B’s profit. We can let t = the number of days until this happens and create the following inequality:

50(10)(t) - 1500 > 40(10)(t) - 550

500t - 1500 > 400t - 550

100t > 950

t > 9.5

Thus, the minimum number of days needed is 10.

_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: Machine A can produce 50 components a day while machine B only 40. The &nbs [#permalink] 25 Jul 2018, 17:46
Display posts from previous: Sort by

# Machine A can produce 50 components a day while machine B only 40. The

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.