Answer to Question #333897 in Calculus for John

Question

Direction: solve each word problem involving optimization. Make a sketch of your work if

necessary, and then apply differentiation.

3. A two-pen corral is to be built. The outline of the corral forms two identical adjoining

rectangular regions. There is 90 feet of fencing available. Find the maximum

enclosed area and the dimensions of the corresponding enclosure.

4. The product of two positive integers is 240. What is the smallest possible sum for

the two numbers?

5. A manufacturing company has determined that the cost (in pesos) of producing

x units of a product is modelled by the function f(x) = 0.0001x^2 − 0.02x + 400.

How many units of the product will minimize production cost?