1. Problems 4.1 Each day Paul, who is in third grade, eats lunch at school. He likes only Twinkies (t) and soda(s), and these provide him a utility of: utility=U(t,s)=ts Suppose the price of twinkies is Pt each and the price of soda is Ps per cup. Also suppose Paul has I, given to him by his mother, to spend on lunch at school. For this general case, which of the following are first order conditions for a utility maximizing bundle of twinkies and soda for Paul? Check all that apply. == = 0.5- XP = 0 1 = I + P+t+Ps = 0 =0.5 - AP = 0 = 0.5st - Pt = 0 d = 0.5-XP, = 0 x = I - Ptt - Ps8=0 = 0.5% - AP, = 0 = I - Pt=0 =0.5-AP=0 After solving these first order conditions, it is clear that t* = and s-