Question

Willy wants to maximize the chance (W) that the Seminoles will win their game against Clemson. He has 34 hours that his team can spend preparing for the game. This time can be split between practices (P) and film study (F). The probability of winning, W, as a function of hours spent practicing and studying films is given below. What combination of P and F should Willy use to maximize W? What is the probability that the Seminoles will win the Clemson game?

W = (P^2)/200 + PF/10 + (F^2)/100

Note: The probability of winning, W, is given in percentages (i.e. it ranges from 0 to 100). You should round your answer to the nearest integer.

Answer 1