MATH 4553 Midterm: MATH 4553 OK State Midterm1 sol
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The total is 50 points: a furniture manufacturer is trying to maximize the weekly revenue of a factory. Four prod- ucts, their requirements of wood and labor, and the pro t of each product are listed in the table below. Suppose that 5000 units of wood and 1500 units of labor are available each week. Formulate the optimization problem that determines how many units of each product the factory should produce to maximize its pro t. 2x1 + 4x2 + 8x3 + 12x4 1500 x1, x2, x3, x4 0, and they must be integers. 1: a manufacturer wants to design a cylindrical can to hold at least 400ml of liquid. The cost of making a can is proportional to the surface area of the sheet metal used (including top and bottom lids of the can). Formulate an optimization problem to help the manufacturer minimize the cost while subject to given constraints. 8cm h 18cm r, h 0.
