B-Meg Company wants to mix exactly 700 pounds of special kind of dog food. There are two principal ingredients in the mixture, both sources of...

B-Meg Company wants to mix exactly 700 pounds of 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 a pound and P2 cost P80 per pound. Chemical constraints dictate that the mixture contain no more than 500 pound of P1 and must contain at least 300 pounds of P2. How many pounds of each ingredient must be utilized in order to minimize the cost?