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Unformatted text preview: UCLA Math 164 Lec 1, Fall 2008 Problems set 1 Problem 1 : (Fitting a quadratic function to data) Fit a quadratic function of the form b ( t ) = x 1 + x 2 t + x 3 t 2 to the data points (0 , 1), (2 , 7), and (5 , 46). Find the quadratic function and plot its graph. (Solve the linear systems by Elimination.) Problem 2 : (Linear programming) A manufacturer of office furniture is trying to maximize the monthly revenue of the factory. Various orders have come in that the company could accept. They include desks, bookshelves, cabinets with doors, and cabinets with drawers. The table above indicates the quantities of materials and labor required to assemble the four types of furniture, as well as the revenue earned. Suppose that 6000 units of wood and 2000 units of labor are available. Formulate the linear programming model that will maximize the revenue under the given conditions, where x i , i = 1 , 2 , 3 , 4 is the number of pieces of furniture to be produced for each type....
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 Summer '10
 Brown
 Linear Programming, Optimization

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