Scoops, the local ice cream shop offers ice cream in sugar cones and waffle cones. S and W represent the number of sugar cones and waffle cones sold per hour respectively. The price functions for each are as follows:

x = 12 - .3s + .1w (hourly price in dollars for a sugar cone)

y = 20 + .1s - .2w (hourly price in dollars for a waffle cone)

1. Determine how many sugar and waffle cones Scoops should aim to sell each hour to maximize revenue. Be sure to prove that you have found the maximum.
2. What is the maximum revenue that Scoops can make each hour?