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PROBLEM #2. Follow the steps bellow to solve the given optimization problem. i. Understand the problem. Read the problem carefully, pondering the questions: what are the un- knowns ? What are the involved quantities ? What information was given ? ii. Make a draw. It is very useful to draw a figure or diagram that illustrate the problem, expressing the quantities and information provided. iii. Notation. Introduce a notation for each quantity and/or variable. Use letters to denote the quantity to be maximized or minimized, such as Q, A, etc. Known or unknown variables are denoted commonly denoted by x, y, a, b, etc. iv. Relation. Find how the variables are related, by applying (physical, geometrical, biological) laws. v. Optimize. Apply the studied methods to optimize the problem (find minimum or maximum). Optimization problem: A rectangular box with a volume of 320 fts is to be constructed with a square base and top. The cost per square foot for the bottom is 15c, for the top is 10c, and for the sides is 2.5c. What dimensions will minimize the cost