x Math Emporium Practice Probler x + mporium.vt.edu/practiceproblems/wicket/page?181 1) 4.4.1c 2) 4.4.1b 3) 4.4.1a 4) 4.4.1d 5) 4.4.2a 6) 4.4.2b 7) 4.4.3c 8) 4.4.3a 9) 4.4.3d 10) 4.4.3b MATH 1025: 4.4.1d: 154333574 A farmer has collected data from one of his crops. Suppose the farmer found that the number of seeds, S(t), produced by a plant maturing at age t (in weeks) was t 2 S(t) 4 seeds per mature plant. Further, the farmer discovered that only 1 2 2763.63 445.3 P(t) - 27.735 4 + plants matured to age t. t2 t Determine the maximum rate of change of the crop's seed production. (answers rounded down) a) 151 seeds per week b) 295 seeds per week c) 167 seeds per week d) 211 seeds per week e) 272 seeds per week f) 250 seeds per week You'll need to start by developing a function for the seed production before you begin to optim How would you use the number of seeds produced and the number of plants that grow to mat O EN