application of minimum and maximum values. all i need is a clear and detailed solution you can add some notes (will appreciate that). pls do type it if you have a bad handwritten thanku in advance.

(I think the answers are already given, all I need is the solution)

1 A closed box with a square base is to contain 252 cubic feet. The bottom costs $5 per square foot, the top costs $2 per square foot, and the sides cost $3 per square foot. Find the dimensions that will minimize the cost. Ans. 6 and -73. A thin-walled cone-shaped cup (Fig.3.1) is to hold 361 in of water when full. What dimensions will minimize the amount of material needed for the cup? Ans. 3v2 and 6. SA printed page must contain 60 cm of printed material. There are to be margins of 5 cm on either side and margins of 3 cm on the top and bottom (Fig. 2.1). How long should the printed lines be in order to minimize the amount of paper used? S 3 3 Fig. 2.1 Ans. 10 LU 3 5 5