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# Revenue and cost functions def revenue(x): return 50 * x - 0.5 * x**2 def cost(x): return 10 * x + 100 # Profit function def profit(x): return revenue(x) - cost(x) # Find the maximum profit def find_max_profit(): max_units = 40 # Critical point found earlier max_profit = profit(max_units) return max_units, max_profit # Output the result units, max_profit = find_max_profit() print(f"Maximum profit is ${max_profit} when producing {units} units.")
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