The sports store makes and sells the latest bands of shoes, Pie Airs and Radicals. It takes 4 lbs. of leather and 10 feet of string to make a dozen Pie Airs. To make Radicals it takes lbs. of
leather and 30 feet of string. The store makes a profit of $15.00 for Pie Airs and $45.50 for
Radicals. The store has 600 lbs. of leather and 1200 feet of string. How many of each shoe should be made to maximise your profit