CEE3000HW2-Spr08

# CEE3000HW2-Spr08 - Name Date CEE 3000 CIVIL ENGINEERING...

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Name______________________________ Date: ____________________________ CEE 3000: CIVIL ENGINEERING SYSTEMS Homework 2 Spring 2008 Due: Tuesday, February 19 (1) A contractor has found that the revenue from the sale of x items is R(x) = 800x - 2x 2 dollars and the cost to produce these x items is C(x) = 2x 2 + 1000 dollars. Answer the following questions. (5 points) a) How many items should be produced to minimize cost? b) How many items should be produced to maximize revenue? c) How many items should be produced to maximize profit? d) If profit is to be a maximum, what should be the selling price of each item?

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2 (2) The owner of a warehouse decides to fence in an area of 800 square feet behind the warehouse. Assume that he plans to use the wall of the building as one of the four sides that will enclose the rectangular area. He would like to use the least amount of fencing necessary for the other three sides. How many feet of fence will be needed? (5 points)
3 (3) Solve the following linear program using the graphical method (graph paper attached). Compute the value of the decision variables and the objective function at optimality, and indicate which statement best describes the solution: (10 points)

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CEE3000HW2-Spr08 - Name Date CEE 3000 CIVIL ENGINEERING...

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