The four possible points which could be the optimal solution are labeled from one to four. The solutions to these are then given in Table 1, along with the profits which would result from these combinations. The values of each of these points were calculated by solving the simultaneous equations where the lines crossed. It can be seen from Table 1 that the maximum profit would be reached by producing 20 beef dinners and 40 fish dinners each day.

Figure 1: Feasible region for the linear programming problem

Table 1: Resultant profits from each of the critical points

Point

Value of X1

Value of X2

Resultant Profit

Now Excel may also be used to solve this problem. The solution which is given is shown in Figure 2. From this it may be confirmed that the optimal solution for the restaurant is to prepare 20 beef meals and 40 fish meals...
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