1. Problem: A contractor purchases equipment for 50,000 birr, with operating costs of 10 birr/hour for fuel and maintenance and 15 birr/hour for the operator. Customers are charged 50 birr/hour for use. Write total cost, revenue, and profit functions in terms of hours used.
2. Total cost function $C(h)$ includes fixed cost plus variable costs per hour:
$$C(h) = 50000 + (10 + 15)h = 50000 + 25h$$
3. Revenue function $R(h)$ is charge per hour times hours:
$$R(h) = 50h$$
4. Profit function $P(h)$ is revenue minus cost:
$$P(h) = R(h) - C(h) = 50h - (50000 + 25h) = 25h - 50000$$
Final answer:
- Total cost: $C(h) = 50000 + 25h$
- Revenue: $R(h) = 50h$
- Profit: $P(h) = 25h - 50000$
Equipment Costs 979042
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