The average processing costs of two snacks, Supering and Tweesty in a food processing plant is 50 cents and 60 cents per pound, respectively. When the selling price per pound of Supering is PS cents and of Tweesty is PT cents, the demands (in pounds) for Supering and Tweesty are given by

QS = 300 (PT - PS)

QT = 50000+300(PS-2PT)

(a) Find the selling prices that yield a relative maximum profit.

(b) Determine the demands of Supering and Tweesty that correspond to these prices.

(c) What is the maximum profit?