Let P(R, T) represent the tons of apples produced in a single growing season at a particular apple orchard. Production is a function of total rainfall and temperature during the season. Use the contour diagram below to answer the questions. 80 78 70 2 80 -90 100 T (temperature in "F) 76 - 110 - 74 . 113 72 6 9 12 15 18 21 24 R (rainfall in inches)Which of the following is a practical interpretation of the statement 1311(24, 72) m 5? In a season with a total rainfall of 24 inches. . . O the rate of change of P(R, T) with respect to T is 5 at the point (24, 72) 0 an additional 5 tons of apples are produced if the temperature is 73 degrees instead of 72 degrees 0 5 tons of apples are produced if the temperature increases by 72 degrees 0 an additional 5 tons of apples are produced if the temperature is 72 degrees 0 5 tons of apples are produced if the temperature increases by 1 degree 0 100 tons of apples are produced if the temperature is 72 degrees 02.2 (b) 5 Points ' I What is the sign of P.1(12, 78) if = 32' 23'? 0 positive 0 negative 0 zero 02.3 (c) 5 Points Which is greater? O \"V P(15, 78)\" O IIVP(9,80)|| 02.4 (d) 5 Points Estimate the value of the directional derivative of P(R, T) at (12, 78) in the direction of I? = 3