Question: Happy Valley Ice Cream Company is planning its production for next week. Demand for Happy Valley's premium and light ice creams continues to outpace the company's production capacities. Two resources used in ice cream production are in short supply for next week. The mixing machines will be available for only40 hours, and only8,000gallons of high-grade milk will be available. One hundred gallons of premium ice cream requires0.2 hour of mixing and 90 gallons of milk. One hundred gallons of light ice cream requires0.6 hour of mixing and 70 gallons of milk. If Happy Valley earns a profit of$70 per hundred gallons on both of its ice creams, how many hundreds of gallons of premium and of light ice cream should Happy Valley produce next week to maximize profit? How much profit will result?