91Ó°ÊÓ

For the following exercises, consider a pizzeria that sell pizzas for a revenue of \(R(x)=a x\) and costs \(C(x)=b+c x+d x^{2},\) where \(x\) represents the number of pizzas. Assume that \(R(x)=10 x\) and \(C(x)=2 x+x^{2}\) . How many pizzas sold maximizes the profit?

Consider a pizzeria that sell pizzas for a revenue of \(R(x)=a x\) and costs Assume that \(\quad R(x)=15 x, \quad\) and \(C(x)=60+3 x+\frac{1}{2} x^{2}\). How many pizzas sold maximizes the profit?

For the following exercises, consider a pizzeria that sell pizzas for a revenue of \(R(x)=a x\) and costs \(C(x)=b+c x+d x^{2},\) where \(x\) represents the number of pizzas. Assume \(\quad\) that \(\quad R(x)=15 x, \quad\) and \(C(x)=60+3 x+\frac{1}{2} x^{2} . \quad\) How many pizzas sold maximizes the profit?

For the following exercises, consider a wire 4 ft long cut into two pieces. One piece forms a circle with radius r and the other forms a square of side x. Choose \(x\) to maximize the sum of their areas.

For the following exercises, consider two nonnegative numbers \(x\) and \(y\) such that \(x+y=10\) . Maximize and minimize the quantities. $$x y$$

Consider two nonnegative numbers \(x\) and \(y\) such that \(x+y=10\). Maximize and minimize the quantities. \(x y\)

For the following exercises, consider two nonnegative numbers \(x\) and \(y\) such that \(x+y=10\) . Maximize and minimize the quantities. $$x^{2} y^{2}$$

Consider two nonnegative numbers \(x\) and \(y\) such that \(x+y=10\). Maximize and minimize the quantities. \(x^{2} y^{2}\)

Consider two nonnegative numbers \(x\) and \(y\) such that \(x+y=10\). Maximize and minimize the quantities. \(y-\frac{1}{x}\)

For the following exercises, consider two nonnegative numbers \(x\) and \(y\) such that \(x+y=10\) . Maximize and minimize the quantities. $$y-\frac{1}{x}$$