MATH 305 Lecture 1: Introduction
4 Apr 2016
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The manufacture has 3 basic operations: cutting, assembly, and finishing. Table 1 gives the hours required for each of these activities to produce a bookcase or table: The profit for each bookcase or table sold is or respectively. Suppose that a max of 72 hrs per day is available for cutting, 50 hrs for assembly, and 120 hours for finishing. Maximize (or minimize) linear objective function z = c1x1 +c2x2 + +cn xn. Subject to linear constraint equality or inequality a1x1 +a2x2 + +an xn a1x1 +a2x2 + +an xn a1x1 +a2x2 + +an xn. The average yearly return for stocks, bonds, and savings are expected to be 9%, 7% and 6%. You want to place at least as much money in your saving account as in stocks and bonds, and you intend to invest at least twice as muc money in bond as you do in stocks.
