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Question
The owner of a small restaurant can prepare a particular meal at a cost of Rupees 100. He estimates that if the menu price of the meal is x rupees, then the number of customers who will order that meal at that price in an evening is given by the function D(x) = 200 − x. Express his day revenue, total cost and profit on this meal as functions of x
Solution
Cost of one meal = ₹ 100
Total cost = ₹ 100(200 – x)
Number of customers = 200 – x
Day revenue = ₹ (200 – x)x
Total profit = Day revenue – Total cost
= (200 – x)x – (100)(200 – x)
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