In Exercises 52–55, there are more than two products in the problem. Although you cannot solve these problems using the two-dimensional graphical method, you can follow these steps:

  1. Make a mixture chart for each problem.
  2. Using the mixture chart, write the resource- and minimum-constraint inequalities. Also write the profit formula.
  3. (Requires software) If you have a simplex method program available, run the program to obtain the optimal production policy.

Question 4.84

54. A candy manufacturer has 1000 lb of chocolate, 200 lb of nuts, and 100 lb of fruit in stock. The Special Mix requires 3 lb of chocolate, 1 lb each of nuts and fruit, and it brings in $10. The Regular Mix requires 4 lb of chocolate, 0.5 lb of nuts, and no fruit, and brings in $6. The Purist Mix requires 5 lb of chocolate, no nuts or fruit, and brings in $4. How many boxes of each type should be produced to maximize profit?

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