Question

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 the table below. Number of discount tickets, Number of full-price tickets, X 100 200 300 200 75.000 110,000 145,000 400 115,000 150,000 185.000 600 155,000 190,000 225,000 800 195,000 230,000 265,000 1000 235,000 270,000 305,000 400 180,000 220,000 260,000 300,000 340,000 (a) Evaluate f (200, 800), and interpret your answer (200,800) = (b) Isf, (200,800) positive or negative? Is /, (200,800) positive or negative? Explain. Both partial derivatives are positive because revenue increases if more of either type of ticket is sold. Both partial derivatives are negative because revenue decreases if more of either type of ticket is sold. O f. (200,800) is positive and f, (200,800) is negative because the sale of discount tickets decreases revenue, but the sale of full.price tickets increases revenue O S. (200,800) is negative and f, (200, 800) is positive because the sale of discount tickets increases revenue, but the sale of full-price tickets decreases revenue

Answer 1

fr (200, 800) pay $ (200, 1000) - € 1200, 800) 1600 - 800 2 30,000 h) 270, Doo 200 dollars / ticket full price is fx (200 800) fy (200, 800) price of price of ticket and ticket is discounted