# Need help with this

Algebra

### Need help with this

I’ve tried multiple times and keep getting each step of the way wrong I only get 2 attempts and then I get new numbers
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Sheddy225

Posts: 1
Joined: Sun Sep 09, 2018 11:09 pm
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### Re: Need help with this

Good morning!

Cost:
$$C(x)=2x+26$$
Price:
$$p(x)=30-2x$$
R(x):
$$R(x)=xp(x)=x(30-2x)=30x-2x^2$$

Calculating the profit function:
$$P(x)=R(x)-C(x)=30x-2x^2-(2x+26)\\P(x)=-2x^2+28x-26$$

To maximize profit:
$$P'(x)=0\\-4x+28=0\\x=7$$

Max-Profit:
$$P(7)=-2(7)^2+28(7)-26=-2(49)+196-26=72$$

I hope I have helped!

Baltuilhe

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