Maximizing Profits A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x rackets/day is given by C(x) = 600 + 2x + 0.0003x². Each racket can be sold at a price of p dollars, where p is related to x by the demand equation p = 9 -0.0002x. If all rackets that are manufactured can be sold, find the daily level of production that will yield a maximum profit for the manufacturer. Hint: The revenue is R(x) = px, and the profit is P(x)= R(x) C(x). rackets

Q: The height of a projectile fired vertically into the air (neglecting air resistance) at an initial…

A: The height of projectile f(x) in feet is given by f(x)=96x-16x2, where x is time in seconds. The…

Q: Find the number of units sold that yields a maximum annual revenue for a sporting goods…

A:

Q: The rate of change is 50, and it represents the income increasing by 50 dollars per hour. The rate…

A: givenf(x)=10x+50

Q: How many units must be produced to maximise the profit, modelled by the function f(x) = -2x+10x-8?

A: The profit function given is f(x)=-2x2+10x-8. Here, x represents the number of units produced.

Q: For wages less than the maximum taxable wage base, Social Security contributions (including those…

A:

Q: It costs C(x) = 807.71 + 173.627x dollars to produce x light boxes. To sell x light boxes, the price…

A: Given Cost Function Given price function Ler Revenue function Let Profit function

Q: how

A: The given function is a third degree polynomial.

Q: If the selling price of a box of model is Php x, (500 – 20x) boxes of model will be sold. It is…

A:

Q: Graph: f(x) = 3x

A: Concept;   The calculus helps in understanding the changes between values that are related by a…

Q: Find the consumer and producer surpluses by using the demand and supply functions, where p is the…

A: We will equate the demand and supply function to find number of units at equilibrium.

Q: -; A price p (in dollars) and demand x for a product are related by 2x2 – 12xp + 50p² = 6400. If the…

A: Here I am attaching image so that you understand each and every step.