A soda can (a right cylinder) has a volume of . What height and radius will minimize the surface area of the soda can?

A fish tank (right cylinder) with no top has a volume of . What height and radius will minimize the surface area of the fish tank?

A box has a surface area of . What length, width and height maximize the volume of the box?

Production is modeled by the function where is the units of labor and is the units of capital. Each unit of labor costs and each unit of capital costs . If a company has to spend, how many units of labor and capital should be purchased.

Production is modeled by the function, where is the units of labor and is the units of capital. Each unit of labor costs and each unit of capital costs . If a company has to spend, how many units of labor and capital should be purchased.

A company makes end tables () and side tables (). The profit equation for this company is . The company can only produce pieces per day. How many of each table should the company produce to maximize profit?

Find the maximum value of the function with the constraint .

Find the maximum value of the function with the constraint .

A tiger cage is being built at the zoo (it has no bottom). Its surface area is . What dimensions maximize the surface area of the box?

Find the minimum and maximum of , subject to the constraint .