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HOMEWORK HELP! PLEASE!!!

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cityoflights

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cityoflights

Joined: 11 September 2008

Posts: 12823

Posted: 18 February 2009 at 4:59pm | IP Logged
Hi, my 7th grade cousin needs help with this problem, but I'm busy with my own homework to explain it to her. Please help her as fast as you can.
 
Solve the Iniquality.
 
The Cookie Factory has a fixed cost of $300 per month plus $0.45 for each cookie sold. Each cookie sells for $0.95. How many cookies must be sold during one month for the profit to be at least $100.
 
Thank you.

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akhl

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akhl

Joined: 30 March 2007

Posts: 5228

Posted: 18 February 2009 at 9:39pm | IP Logged
Originally posted by MusicalAiswarya

 
Solve the Iniquality.
 
The Cookie Factory has a fixed cost of $300 per month plus $0.45 for each cookie sold. Each cookie sells for $0.95. How many cookies must be sold during one month for the profit to be at least $100.
 
Thank you.
 
Let number of cookies sold = n
Fixed cost = $300
Selling cost = n * $0.45
Total cost = $300 + n * $0.45
 
Income = n * $0.95
Income - total cost = profit
Profit >= $100
n * $0.95 - ($300 + n * $0.45) >= $100
n * $0.95 - $300 - n * $0.45 >= $100
n * $0.50 - $300 >= $100
n * $0.50 >= $100 + $300
n * $0.50 >= $400
n >= $400/$0.50
n >= 400/0.50
n >= 800
The minimum value of n, which satisfies the above in equality = 800
Ans: 800

cityoflights

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cityoflights

Joined: 11 September 2008

Posts: 12823

Posted: 21 February 2009 at 4:50pm | IP Logged
Thanks, she understands now...I appreciate your help

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