B-Meg Company wants to mix exactly 700 pounds of a special kind of dog food. There are two principal ingredients in the mixture, both sources of protein P1 and P2. The first source of protein P1 cost P50.00 a pound and P2 cost P80.00 /pound.  Chemical constraints dictate that the mixture contain not more than 500 pounds of P1 and must contains at least 300 pounds of P2. How many pounds of each ingredients must be utilized in order to minimize the cost?