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An ice cream company is planning its production for next week. Demand for 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 machine will be available for only 150 hours, and only 30000 gallons of high grade milk will be available. One hundred gallons of premium ice-cream requires 0.6 hour of mixing and 180 gallons of milk. One hundred gallons of light ice cream requires 1 hour of mixing and 140 gallons of milk. If company earns a profit of $100 per hundred gallons on both of its ice creams, how many gallons of premium and of light ice cream should company produce next week to maximize profit? How much profit will result? Round your profit to the nearest cent and another answers - to the nearest whole number.
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