Help with a 3 part word problem

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sweetbabygrl74

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If the inventor in charges $4 per unit, then her profit for producing and selling x units is given by the function

P(x) = 2.25x – 7000

(a) What is her profit if she sells 2000 units?
(b) What is her profit if she sells 5000 units?
(c) What is the break-even point for sales?
 
If the inventor in charges $4 per unit, then her profit for producing and selling x units is given by the function

P(x) = 2.25x – 7000

(a) What is her profit if she sells 2000 units?
(b) What is her profit if she sells 5000 units?
(c) What is the break-even point for sales?
Click to expand...

Where is your work?

Exactly where are you stuck?
 
I am confused on the equation that is suppose to be used. This is what I started with but think I am doing this wrong.

a)2000(x)=2.25(4)-7000
2000(x)-(x)=2.25(4)+(x)-7000
2000=9+x-7000
 
sweetbabygrl74 said:
If the inventor in charges $4 per unit, then her profit for producing and selling x units is given by the function P(x) = 2.25x – 7000, then:

(a) What is her profit if she sells 2000 units?
(b) What is her profit if she sells 5000 units?
(c) What is the break-even point for sales?
Click to expand...
You're given the formula for the profit P for selling x units. So you've plugged in the given values of x (for parts (a) and (b), at least), simplified to find the corresponding values of P, and... then what?

And (for part (c) above) you've reviewed (or looked up) the definition of "break-even point", plugged in that value for P, and... then what?

Please reply showing all of your work, specifying where you are getting stuck. Thank you! :D

Eliz.
 
P(x) does not mean P * x

P(x) means P expressed as a function of x. Similar to f(x).

So (a)

P(2000) = 2.25 *2000 - 7000 = -2500

Since P(x) is negative - the inventor is losing money, if she sells only 2000 units.
 
sweetbabygrl74 said:
I am confused on the equation that is suppose to be used. This is what I started with but think I am doing this wrong.

a)2000(x)=2.25(4)-7000
Click to expand...
You posted this reply while I was typing my previous message. Sorry for the mix-up! :oops:

It looks like you missed the days when they covered function notation in class. We obviously cannot replace those hours of classroom instruction, and it is to be regretted that your textbook and the class notes you got from a friend aren't proving helpful. :cry:

Fortunately, there are loads of great lessons available online. Please take an hour or so, and study a few lessons, making sure to work through a few of the examples provided. The concepts and methods are really pretty simple (you'll be surprised, I think). :wink:

Once you have learned the basic terms and techniques, please attempt the exercise. If you get stuck, please reply showing your work and reasoning for each part (or at least for parts (a) and (c), since (b) works the same as (a)), and we'll be glad to try to help you get un-stuck.

Thank you! :D

Eliz.
 
stapel said:
sweetbabygrl74 said:
I am confused on the equation that is suppose to be used. This is what I started with but think I am doing this wrong.

a)2000(x)=2.25(4)-7000
Click to expand...
You posted this reply while I was typing my previous message. Sorry for the mix-up! :oops:

It looks like you missed the days when they covered function notation in class. We obviously cannot replace those hours of classroom instruction, and it is to be regretted that your textbook and the class notes you got from a friend aren't proving helpful. :cry:

Fortunately, there are loads of great lessons available online. Please take an hour or so, and study a few lessons, making sure to work through a few of the examples provided. The concepts and methods are really pretty simple (you'll be surprised, I think). :wink:

Once you have learned the basic terms and techniques, please attempt the exercise. If you get stuck, please reply showing your work and reasoning for each part (or at least for parts (a) and (c), since (b) works the same as (a)), and we'll be glad to try to help you get un-stuck.

Thank you! :D

Eliz.
Click to expand...


Yeah I missed 2 weeks because I was in the hospital so it's playing catch up now with no help from anyone.

Thanks for the link. I will be going over all I can find.
 
ok guys I think I have it.

Here is what I got.

a) P(2000) = 2.25 *2000 - 7000 = -2500
b) P(5000) = 2.25 *5000 – 7000 = 4250
c) 4250-2500=1750
 
part(c) is not correct.

What is the definition of break-even point?

What is the profit at break-even point?
 
ok I see what I did wrong.

We set P(x) = 0 and solve for x.
0=2.25x-7000
+7000 +7000
7000=2.25x
2.25x=7000

x = 3111
 
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