Tuesday, July 28, 2009

Total profit is defined as total revenue minus total cost. Below R(x) and C(x)?

represent the revenue and cost, respectively, from the sale of x futons.





R(x) = 280x – 0.7x2 and C(x) = 8000 + 0.5x2





Find the profit from the sale of 70 futons.

Total profit is defined as total revenue minus total cost. Below R(x) and C(x)?
%26gt;"Total profit is defined as total revenue minus total cost."


P(x) = R(x) - C(x)





R(x) = 280x – 0.7x² and C(x) = 8000 + 0.5x²


=%26gt; P(x) = R(x) - C(x)


= 280x -0.7x² - [8000 + 0.5x²]


= -1.2x² + 280x -8000





%26gt;Find the profit from the sale of 70 futons.


R(x) = -1.2(70)² + 280(70) -8000


= 5720


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