NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 04:33 It is currently 25 Apr 2024, 04:33
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

It costs x dollars each to make the first 1,000 copies of a compact

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92912
Own Kudos [?]: 618918 [4]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
It costs x dollars each to make the first 1,000 copies of a compact [#permalink] New post   16 Oct 2017, 09:54
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

83% (01:44) correct 17% (02:18) wrong based on 48 sessions
Hide Show timer Statistics
It costs x dollars each to make the first 1,000 copies of a compact disc and y dollars to make each subsequent copy. If z is greater than 1,000, how many dollars will it cost to make z copies of the compact disc?

(A) 1,000x + yz
(B) zx – zy
(C) 1,000 (z – x) + xy
(D) 1,000 (z – y) + xz
(E) 1,000 (x – y) + yz
ShowHide Answer
Official Answer
E
avatar
B
GMAce93
Intern
Intern
Joined: 02 Oct 2017
Posts: 22
Own Kudos [?]: 7 [1]
Given Kudos: 45
Send PM
GMAT ToolKit User
It costs x dollars each to make the first 1,000 copies of a compact [#permalink] New post   16 Oct 2017, 10:03
1
Bookmarks
Total no. of copies to be made =z
Given z > 1000
Cost for making first 1000 copies = 1000x
Remaining copies = z-1000
Cost for remaining copies = (z-1000)y
Total cost = 1000x+ (z-1000)y = 1000(x-y)+yz
Option E.


Sent from my iPhone using GMAT Club Forum
User avatar
L
generis
Senior SC Moderator
Joined: 22 May 2016
Posts: 5330
Own Kudos [?]: 35487 [0]
Given Kudos: 9464
Send PM
CAT Tests
It costs x dollars each to make the first 1,000 copies of a compact [#permalink] New post   19 Oct 2017, 08:55
Expert Reply
Bunuel wrote:
It costs x dollars each to make the first 1,000 copies of a compact disc and y dollars to make each subsequent copy. If z is greater than 1,000, how many dollars will it cost to make z copies of the compact disc?

(A) 1,000x + yz
(B) zx – zy
(C) 1,000 (z – x) + xy
(D) 1,000 (z – y) + xz
(E) 1,000 (x – y) + yz

Let x = $2
First 1000 discs cost
$2 * 1000 = $2000

Let z, total # of discs = 1500

Let y, cost/disc after first 1000 discs = $1

# of discs after first 1000
1500 - 1000 = 500 left
Cost of those 500 at y=$1:
500 * 1 = $500

Overall cost: 2000 + 500 = 2500

Find the answer that = 2500
Use x = 2, y = 1, z = 1500

(A) 1,000x + yz
(1000)(2) + (1)(1500) =
2000+1500 = 3500. Too large. NO

(B) zx – zy
(1500)(2) - (1500)(1) =
3000-1500 = 1500. Too small. NO

(C) 1,000 (z – x) + xy
1000(1500-2) + (2)(1)
1000(1498) + 2 = huge. Stop. NO

(D) 1,000 (z – y) + xz
1000(1500-1) + (2)(1500)=
1000(1499) + 3000 = huge. Stop. NO

(E) 1,000 (x – y) + yz
1000(2-1) + (1)(1500) =
1000(1) + 1500 = 2500. MATCH

Answer E
User avatar
B
Plunkster82
Manager
Manager
Joined: 09 Aug 2017
Posts: 56
Own Kudos [?]: 23 [0]
Given Kudos: 18
Location: United States
Concentration: Technology
GMAT 1: 640 Q44 V33
GMAT 2: 630 Q47 V29
WE:Research (Investment Banking)
Send PM
Re: It costs x dollars each to make the first 1,000 copies of a compact [#permalink] New post   23 Oct 2017, 07:14
I got E, but this is one where I, again, need to read the problem better. I misread the question and didn't realize x is the price per copy for the first thousand. I thought X was total cost, which led me to X + (Z-1000)*Y, which thankfully isn't an answer.

So I regrouped and realized X is price per copy.
-1000x is the cost of the first 1,000 copies.
-y*(z-1,000) is the cost for every copy after the first 1,000.
-But 1,000x+y*(z-1,000), isn't an answer.
-So I broke expanded outside the parentheses to get 1,000x+yz-1,000y.
-Regrouped the terms to read 1,000x-1,000y+yz.
-Factored out 1,000(x-y)+yz, which is an answer.
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18756
Own Kudos [?]: 22050 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: It costs x dollars each to make the first 1,000 copies of a compact [#permalink] New post   21 Jun 2018, 17:09
Expert Reply
Bunuel wrote:
It costs x dollars each to make the first 1,000 copies of a compact disc and y dollars to make each subsequent copy. If z is greater than 1,000, how many dollars will it cost to make z copies of the compact disc?

(A) 1,000x + yz
(B) zx – zy
(C) 1,000 (z – x) + xy
(D) 1,000 (z – y) + xz
(E) 1,000 (x – y) + yz


The cost is:

1000x + y(z - 1000)

1000x + yz - 1000y

1000(x - y) + yz

Answer: E
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32667
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: It costs x dollars each to make the first 1,000 copies of a compact [#permalink] New post   13 Apr 2022, 08:02
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: It costs x dollars each to make the first 1,000 copies of a compact [#permalink]
13 Apr 2022, 08:02
Moderators:
Bunuel
Math Expert
92912 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions