A manufacturing company produces two types of suitcases: standard and economy. The company can produce at most 150 pieces of suitcases per day. Each standard piece of suitcase requires 10 m of material and each economy piece requires 5 m of material. A maximum of 100 m of material is available. Each standard piece of suitcase requires 2 hours of labor and each economy piece requires 3 hours of labor. The manufacturer wishes to utilize at most 240 hours of labor. If the profit is $35 per standard piece of suitcase and $20 per economy piece, how many of each type of suitcase should be produced to maximize profit