In order to make a profit, Mike’s Ice Cream must sell at least $500 worth of ice cream every day.
Part a: If a large (l) sells for $3.50 and a small (s) sells for $2.50, write an inequality to represent how many of each size Mike must sell each day in order to make a profit.
Part b: It was rainy on Tuesday and Mike sold 85 large and 60 small ice cream cones. Did he make a profit on Tuesday? Justify your answer mathematically.
Part c: On Wednesday, Mike made a profit. He sold the same number of large ice creams cones as he did on Tuesday. What is the minimum number of small ice cream cones he could have sold to earn a profit?