An airline’s revenue, R, is a function of the number of full-price tickets, x, and the number of discount tickets, y, sold. Values of R = f(x, y) are in Table 8.1 on page 340.
(a) Evaluate f(200, 400), and interpret your answer.
(b) Is f_x(200, 400) positive or negative? Is f_y(200, 400) positive or negative? Explain.
(c) Estimate the partial derivatives in part (b). Give units and interpret your answers in terms of revenue.

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Table 8.1 Revenue from ticket sales as a function of x and y Number of full-price tickets, x 200 Number of discount tickets, y 200 400 600 800 1000 100 75,000 115,000 155,000 195,000 235,000 110,000 150,000 190,000 230,000 270,000 300 145,000 185,000 225,000 265,000 305,000 400 180,000 220,000 260,000 300,000 340,000