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

It is currently 17 Aug 2018, 06:06

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

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
Manager
avatar
Joined: 05 Mar 2011
Posts: 120
Machine A can produce 50 components a day while machine B only 40. The  [#permalink]

Show Tags

New post 29 Nov 2011, 19:57
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

61% (01:55) correct 39% (02:29) wrong based on 38 sessions

HideShow timer Statistics

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
Manager
avatar
Joined: 20 Aug 2011
Posts: 129
Re: Machine A can produce 50 components a day while machine B only 40. The  [#permalink]

Show Tags

New post 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
User avatar
V
Joined: 02 Sep 2009
Posts: 47967
Re: Machine A can produce 50 components a day while machine B only 40. The  [#permalink]

Show Tags

New post 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.


Answer: D.

M08-10
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Director
Director
User avatar
S
Joined: 20 Feb 2015
Posts: 516
Concentration: Strategy, General Management
Premium Member
Re: Machine A can produce 50 components a day while machine B only 40. The  [#permalink]

Show Tags

New post 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
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2727
Re: Machine A can produce 50 components a day while machine B only 40. The  [#permalink]

Show Tags

New post 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.

Answer: D
_________________

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  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.