Question: Math 12 Collaborative Activity for Chapter 5 DIRECTIONS: PLEASE STAPLE A COLLABORATIVE ACTIVITY COVER PAGE TO YOUR SOLUTIONS AND SUBMIT TO ME. Cover pages are

Math 12 Collaborative Activity for Chapter 5

Math 12 Collaborative Activity for Chapter 5 DIRECTIONS: PLEASE STAPLE A COLLABORATIVE ACTIVITY COVER PAGE TO YOUR SOLUTIONS AND SUBMIT TO ME. Cover pages are located in the Collaborative Work folder in the files area of Canvas. Part 1 Optimization: The Metal Can Company has an order to make cylindrical cans with a volume of 16.069 fluid oz. (29 cubic inches). What dimensions should they build their cans to minimize the amount of sheet metal (area) used to build the can? What quantity of sheet metal will be needed for this optimal can? 1. The can has been labeled with unkowns labeled for you. SOUP 2. Identify the objective function below. Put the function in the form "Let S = surface area of can and then fill in an expression for the surface area using the variables above. 3. Identify the constraints (Hint: there are three--one for the can's volume and two regarding the variables; also, the volume of the can is the base area times the height). 4. State the optimization problem: Minimize: Subject to: 5. Eliminate extra variable in your objective function. Use the figure below to help do this. 27 SOUP

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