Chain Rule Part III Pedro manages a gas station that sells two kinds of gum, brand A and brand B. Analysts have estimated that if brand A is sold for pA dollars and brand B for pg dollars, then demand for brand A will be: Q% = 300 - 20(PA + 1)2 + 30pg bottles per month (1.2) Furthermore, research indicates that the price of both brands is a function of time t, where t is measured in months. In particular, the price of brand A in t months is PA(t) = 2 +0.05t dollars per bottle (1.3) 14 1 Math Review whereas the price of brand B in t months will be PB(t) = 2 +Vf dollars per bottle