It is currently 16 Dec 2017, 20:29

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A company sells seed either by the pound or by the acreage planted.

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

Hide Tags

Manager
Manager
avatar
G
Joined: 14 Oct 2012
Posts: 182

Kudos [?]: 57 [0], given: 966

Premium Member Reviews Badge CAT Tests
A company sells seed either by the pound or by the acreage planted. [#permalink]

Show Tags

New post 15 Nov 2017, 17:13
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

40% (02:31) correct 60% (01:43) wrong based on 15 sessions

HideShow timer Statistics

A company sells seed either by the pound or by the acreage planted. It will sell seed M for no less than $5.50 a pound or for no less than $12.75 per acre planted. Farmers will pay no more than $6.25 a pound and no more than $13.50 per acre planted and always choose the price structure that results in the lowest cost per acre. If it takes 2 pounds of seed M to plant an acre of loamy soil and 3 pounds to plant an acre of clay soil, what is the range in dollars per pound, x, within which sales of seed M could take place?

(A) $4.25 ≤x ≤ $5.50
(B) $4.25 ≤x ≤ $6.25
(C) $4.50 ≤x ≤ $6.25
(D) $5.50 ≤x ≤ $6.75
(E) $5.50 ≤x ≤ $13.50
[Reveal] Spoiler: OA

Kudos [?]: 57 [0], given: 966

Expert Post
Math Expert
User avatar
D
Joined: 02 Aug 2009
Posts: 5360

Kudos [?]: 6146 [0], given: 121

Re: A company sells seed either by the pound or by the acreage planted. [#permalink]

Show Tags

New post 15 Nov 2017, 18:23
manishtank1988 wrote:
A company sells seed either by the pound or by the acreage planted. It will sell seed M for no less than $5.50 a pound or for no less than $12.75 per acre planted. Farmers will pay no more than $6.25 a pound and no more than $13.50 per acre planted and always choose the price structure that results in the lowest cost per acre. If it takes 2 pounds of seed M to plant an acre of loamy soil and 3 pounds to plant an acre of clay soil, what is the range in dollars per pound, x, within which sales of seed M could take place?

(A) $4.25 ≤x ≤ $5.50
(B) $4.25 ≤x ≤ $6.25
(C) $4.50 ≤x ≤ $6.25
(D) $5.50 ≤x ≤ $6.75
(E) $5.50 ≤x ≤ $13.50


Hi..

We have to find the lowest and max for the range..
Company -
5.5 per pound or 12.75 per acre
But 3 pounds are required for claysoil per acre, so price per pound if someone pays by acre =12.75/3=4.25
So lowest is 4.25

Farmer
6.25 pound or 13.50 if paid per acre..
Since we are looking for higher range, say he buys 2 pounds for loamy soil.
13.50/2=6.75 BUT he will always choose what costs the least per acre, so buying 2 pounds at 6.25= 2*6.25=12.50 will be cheaper than buying per acre.
13.5 for 3 pounds will ofcourse be <6.25
So higher range will remain 6.25 only

So lowest when company sells per acre for claysoil =4.25
Highest when farmer buys per pound for loamy soil = 6.25

So range should be $4.25 ≤x ≤ $6.25

B
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6146 [0], given: 121

Re: A company sells seed either by the pound or by the acreage planted.   [#permalink] 15 Nov 2017, 18:23
Display posts from previous: Sort by

A company sells seed either by the pound or by the acreage planted.

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.