This is about consumer theory in microeconomics. Please show all your workings and explanations and answers. Please answer all parts

Question Two (5 marks) Vera is an impoverished graduate student who has only $100 a month to spend on food. She has read in a government publication that she can assure an adequate diet by eating only peanut butter and carrots in the xed ratio of 2 pounds of peanut butter to 1 pound of carrots, so she decides to limit her diet to that regime. (a) If peanut butter costs $4 per pound and carrots cost $2 per pound, how much can she eat during the month? (b) Suppose peanut butter costs rise to $5. By how much will Vera have to reduce her food purchases? Assume Vera cannot buy fractions of a meal. (c) How much in food stamp aid would the government have to give Vera to compensate for the effects of the peanut butter price rise? Explain your answer. ((1) What type of goods are peanut butter and carrots to Vera