1a) Paul has $10 to spend on soda. For Paul, generic cola and Green Sparty are Perfect Substitutes. He is happy to substitute a 2-liter bottle of generic cola (X) for a can of Green Sparty (Y). Write down Pauls utility function in terms of X and Y.

1b) Using your previous answers, how much will Paul buy of each soda? Recall the price of generic cola P(X)=$1 and you found the price of Green Sparty soda P(Y) above. Explain your answer.

1c) Peter has $10 to spend on soda. He likes to mix together generic cola with Green Sparty. To make his special soda mix, he combines 1 2-liter bottle of generic cola (X) with 2 cans of Green Sparty (Y). Write down Peters utility function in terms of X and Y.

1d) Given, Peters preferences, what is the relationship between X (generic cola) and Y (green sparty soda) at Peters optimal consumption bundle (write Y as a function of X)?

1e) Given the price of generic cola is P(X)=$1 and the price of Green Sparty soda P(Y) found above, how much will Peter buy of each soda? Explain your answer.