Each month a store owner can spend at most $100,000 on PC’s and laptops. A PC costs the store owner $1000 and a laptop costs him $1500. Each PC is sold for a profit of $400 while laptop is sold for a profit of $700. The store owner estimates that at least 15 PC’s but no more then 80 are sold each month. He also estimates that the number of laptops sold is at most half the PC’s. How many PC’s and how many laptops should be sold in order to maximize the profit?