SOLUTION: Marginal cost can be thought of as the cost of producing one additional unit of output. the marginal cost C (in dollars) to produce x bicycles is C(x)x^2-40x+530 (C)economic

Algebra.Com
Question 1058124: Marginal cost can be thought of as the cost of producing one additional unit of output. the marginal cost C (in dollars) to produce x bicycles
is C(x)x^2-40x+530
(C)economic theory states that, to maximize profit, production should continue until marginal revenue equals marginal cost. assuming that marginal revenue equals $230, how much bicycles should be manufactured ?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!



Complete the square



Take the square root of both sides


and, taking the negative square root of ,


This says either or works
--------------------
Here's the plot:

RELATED QUESTIONS

The marginal cost of a product can be thought of as the cost of producing one additional... (answered by ewatrrr)
The marginal cost of a product can be thought of as the cost of producing one additional... (answered by josmiceli)
The marginal cost C(in dollars) to produce x bicycles is C(x)=x^2-40x+530, A. Find the... (answered by addingup)
Marginal cost is the additional cost imposed by the production of one additional item.... (answered by solver91311)
3. Marginal cost. Suppose the daily cost, in hundreds of dollars, of producing x... (answered by CPhill)
The marginal cost C(in dollars) to produce x bicycles is C(x)=x^2-40x+530, Find the... (answered by stanbon)
Suppose that the marginal cost function of a handbag manufacturer is... (answered by Theo)
The total cost (in dollars) of producing x food processors is C(x) = 2500 + 80x - 0.3x^2 (answered by ikleyn)
The marginal cost (C) of manufacturing x cell phones (in thousands) is given by: {{{C(x)= (answered by josgarithmetic,Boreal,ikleyn)