Graphing the Objective Function

The objective function, n = $12QX + $9QY, can be graphed in QXQY space as a series of isoprofit curves. This is illustrated in Figure 9.7, where isoprofit curves for $36, $72, $108, and $144 are shown. Each isoprofit curve illustrates all possible combinations of X and Y that result in a constant total profit contribution. For example, the isoprofit curve labeled n = $36 identifies each combination of X and Y that results in a total profit contribution of $36; all output combinations along the n = $72 curve provide a total profit contribution of $72; and so on. It is clear from Figure 9.7 that isoprofit curves are a series of parallel lines that take on higher values as one moves upward and to the right.

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