An airline's revenue, R, is a function of the number of full-price tickets,.X, and the number of discount tíckets, y, sold. Values of R=f (x, y) are in the table below. Number of full-price tickets, æ 100 200 300 400 200 75,000 110,000 145,000 180,000 400 115,000 150,000 185,000 220,000 Number of discount tickets, y 600 155,000 190,000 225,000 260,000 800 195,000 230,000 265,000 300,000 1000 235,000 270,000 305,000 340,000 From the table we see that the revenue is $150,000 when 200 full-price tickets and 400 discount tickets are sold; that is, f(200, 400) = $150,000. Use this fact and the partial derivatives f, (200, 400) = 350 andf, = (200, 400) = 200 to estimate the revenue when (a) x = 201 and y = 400 (b)x = 200 and y = 402 $ (c)x = 202 and y = 405

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.