El costo de combustible por hora que un tren gasta en su recorrido es de pesos donde v es la velocidad en kilómetros por hora Note que el costo depende del cuadrado de la velocidad Otros costos, incluyendo el de mano de obra, son de $400 por hora. Expresa el costo total de un viaje de 500 kilómetros como una función de la velocidad v

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

Asales representative from a local radio station is trying to convince the owner of a small fitness club to advertise on her station. the representative says that if the owner begins advertising on the station today, the club's total number of members will grow exponentially each month. she uses the given expression to model the number of club members, in hundreds, after advertising for t months.

For the feasibility region shown below find the maximum value of the function p=3x+2y