If you make a table you can see that L_1 + L_2 gets larger as you increase theta prom pi/2 and decrease theta from pi/2. This means that pi/2 is the theta that will yield the smallest length for the ladder. Plugging this into L_1 + L_2 you get 19.8 (rounded to the nearest hundred)
45x + 50y = 2500....if there is no women, then x = 0 45(0) + 50y = 2500 50y = 2500 y = 2500/50 y = 50.....there would be 50 male customers to meet his expenses
