Josh devotes at most 10 hours a week to making belts and handbags to sell at craft shows. One hour is needed to make a belt, and each handbag takes 2 hours to make. The material for a belt costs $6, and a handbag costs $9. Josh can afford to spend $50 per week to buy materials. The profit on one belt is $20 and one handbag is $45. How many belts and how many handbags should Josh make a week to obtain the largest profit?
