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

 It is currently 18 Jul 2018, 04:02

### 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

# The revenue, R, from selling a certain type of flower varies with the

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47072
The revenue, R, from selling a certain type of flower varies with the [#permalink]

### Show Tags

02 Jan 2018, 23:45
00:00

Difficulty:

15% (low)

Question Stats:

81% (00:52) correct 19% (00:46) wrong based on 102 sessions

### HideShow timer Statistics

The revenue, R, from selling a certain type of flower varies with the price per flower according to the equation $$R = –40(p – 3)^2 + 360$$. What price per flower, p, should be charged to achieve the highest revenue?

A. $36 B.$12
C. $3 D.$2
E. $1 _________________ PS Forum Moderator Joined: 25 Feb 2013 Posts: 1182 Location: India GPA: 3.82 Re: The revenue, R, from selling a certain type of flower varies with the [#permalink] ### Show Tags 03 Jan 2018, 03:42 Bunuel wrote: The revenue, R, from selling a certain type of flower varies with the price per flower according to the equation R = –40(p – 3)2+ 360. What price per flower, p, should be charged to achieve the highest revenue? A.$36
B. $12 C.$3
D. $2 E.$1

Hi Bunuel

Kindly confirm whether the highlighted part is $$(p-3)^2$$ or is it simply $$(p-3)*2$$ because in either case answer will be different.
Math Expert
Joined: 02 Sep 2009
Posts: 47072
Re: The revenue, R, from selling a certain type of flower varies with the [#permalink]

### Show Tags

03 Jan 2018, 03:46
niks18 wrote:
Bunuel wrote:
The revenue, R, from selling a certain type of flower varies with the price per flower according to the equation R = –40(p – 3)2+ 360. What price per flower, p, should be charged to achieve the highest revenue?

A. $36 B.$12
C. $3 D.$2
E. $1 Hi Bunuel Kindly confirm whether the highlighted part is $$(p-3)^2$$ or is it simply $$(p-3)*2$$ because in either case answer will be different. It's $$R = –40(p – 3)^2 + 360$$. Edited. Thank you. _________________ PS Forum Moderator Joined: 25 Feb 2013 Posts: 1182 Location: India GPA: 3.82 Re: The revenue, R, from selling a certain type of flower varies with the [#permalink] ### Show Tags 03 Jan 2018, 04:16 Bunuel wrote: The revenue, R, from selling a certain type of flower varies with the price per flower according to the equation $$R = –40(p – 3)^2 + 360$$. What price per flower, p, should be charged to achieve the highest revenue? A.$36
B. $12 C.$3
D. $2 E.$1

To maximize $$R$$ we need to minimize $$-40(p-3)^2$$ which is a negative value irrespective of $$p$$

Hence at $$p=3$$; $$-40(p-3)^2=0$$ hence $$R=360$$

Option C
Director
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 675
Location: India
GPA: 3.64
Re: The revenue, R, from selling a certain type of flower varies with the [#permalink]

### Show Tags

03 Jan 2018, 09:41
Bunuel wrote:
The revenue, R, from selling a certain type of flower varies with the price per flower according to the equation $$R = –40(p – 3)^2 + 360$$. What price per flower, p, should be charged to achieve the highest revenue?

A. $36 B.$12
C. $3 D.$2
E. \$1

$$R = –40(p – 3)^2 + 360$$
To achieve the maximum revenue, we must decrease the term $$–40(p – 3)^2$$, which becomes zero when p=3.
_________________

Please give kudos, if you like my post

When the going gets tough, the tough gets going...

Re: The revenue, R, from selling a certain type of flower varies with the   [#permalink] 03 Jan 2018, 09:41
Display posts from previous: Sort by

# Events & Promotions

 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®.