Bill is attending River Town primary, one of the many schools benefiting from the school feeding programme. Bills parents can afford $500 for his lunch money which he only purchases the snacks (S) and juice (J) at his school. The price of the snack (Ps) is $5 and the price of the juice (Ps) is $10. Bills preference for these two products can be represented by the utility function(where S and J represent the amount of snacks and juice respectively)

B.If this Bill maximizes his utility subject to his budget constraint,

derive the demand function for snacks and juice.

11.how many units of snacks and juice should bill purchase?

C.If the price of snack increase to $10

Illustrate the price offer curve and demand curve for snacks

11.Illustrate the income and substitution effects