Suppose that the weekly profit, in dollars, of producing and selling x cars is P (x) = negative 0.007 x cubed - 0.2 x ^2 + 1000 x - 1100,and currently 60 cars are produced and sold weekly. Use P (60) and the marginal profit to estimate the weekly profit of producing and selling 62 cars. Round to the nearest dollar.

The weekly profit "P" of producing and selling "x" cars, is given by the expression .If the amount of cars produced and sold are x=60, then the profit linked to those 60 cars will be given by , where the amount of cars "x" has been replaced by 60. This equals . Marginal profit is defined as the change in profits when the amount of cars produced and sold change in a unit. Matematically, it equals the derivative of P(x) in terms of x: . If the amount of cars produced and sold change in two units, then the marginal profit (or additional profit) obtained by producing and selling these two additional cars is ≈ .Then, producing and selling 62 cars would produce a benefit of .