A company produces products A and B. Product A earns Rs. 30 and uses 2 labour hours, while product B earns Rs. 20 and uses 1 labour hour. If at most 100 labour hours are available, which objective function represents profit maximization?
Correct answer: A. Maximize Z = 30A + 20B
- A. Maximize Z = 30A + 20B
- B. Maximize Z = 2A + B
- C. Minimize Z = 30A + 20B
- D. Minimize Z = 2A + B
Explanation
The objective function contains the profit contribution of each product, so it is 30A + 20B and must be maximized. The labour usage, 2A + B, belongs in the resource constraint rather than the objective.
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