Solve the problem. Find the maximum profit P(P = R - C) if C(x) = 65 + 48x and p=80-2x
L lsniff New member Joined Jun 16, 2008 Messages 12 Jun 26, 2008 #1 Solve the problem. Find the maximum profit P(P = R - C) if C(x) = 65 + 48x and p=80-2x
tkhunny Moderator Staff member Joined Apr 12, 2005 Messages 11,339 Jun 26, 2008 #2 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?
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?