Find the maximum profit P if C(x) = 65 + 48x, p = 80 - 2x

lsniff

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Jun 16, 2008
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Solve the problem.

Find the maximum profit P(P = R - C) if C(x) = 65 + 48x and p=80-2x
 
Re: Find the maximum profit

I think you should define R(x).

Not every notation is standardized. Please provide complete definitions for terms used in your presentation.

Cost to Produce x items: C(x) = 65 + 48x

Price of Each Item, given the number produced: p(x) = 80-2x

Revenue in Selling the number of items produced: R(x) = x*p(x) = x(80-2x)

Profit in the production and sale of the given number of items: P(x) = R(x) - C(x) = x(80-2x) - (65 + 48x)

Simplify and solve. Where are you bogging down? Do you remember what to do with a Parabola? What are its properties that make this problem possible?
 
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