24. A manufacturing firm has just discontinued production of an unprofitable product line which has resulted in excess capacity. The management is contemplating to use this capacity for the production of three products A, B, and C. The per unit contribution margin of the three products is, respectively, Rs 20, Rs 6 and Rs 8. Further, the available excess capacity and the capacity requirements of the three products are as given below:

Using the given information, determine the optimal product mix and obtain the maximum contribution that the company can earn. Also, determine the shadow prices of the three resources and the respective ranges over which they are valid.

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Machine Type Capacity Requirement (machine hours per unit) Available Excess Capacity (machine hours per week) A Milling Lathe 8 4 Grinder 2 C 3. 10 B230 250 150 50