# Need algebra help with the total revenue earned by a company that produces and sells of x barrels

Nov 16th, 2015
Anonymous
Category:
Mathematics
Price: \$5 USD

Question description

If the total revenue earned by a company that produces and sells of x barrels of Exall is R(x) dollars where

R(x) = 100x−0.01x^2 −180000.

Find the expression for the marginal revenue of the xth barrel, which is

R(x)−R(x−1).

Find the marginal revenue of the 1000th barrel.

Find the marginal revenue of the 5000th barrel.

Recall marginal revene is deﬁned using the derivatives as

MR(x) =dR(x)/dx
.Write the expression for the marginal revenue in terms of the derivatives.

Find the marginal revenue of the 1000th and 5000th barrel using the derivative of the total revenue function.
(f)Explain the difference in values you obtained using the two methods. (g)Find the average revenue of selling x barrles of Exall denoted by AR(x)

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