Makenna gets utility from commodities x1 and x2 and her preferences can be represented by, (1, 2) = 12^4. The p1=$2 and p2=$1 and her income is $10. Makenna has a coupon which allows her to buy 4 units of x1 at a price of $1 per unit. A. (25 points) Graph Makenna's budget constraint and provide the equations that describe her budget constraint. B. (25 points) Which commodity bundle will maximize Makenna's utility subject to her budget constraint? Prove your answer.

C. (20 points) If a large number of consumers faced Makenna's budget constraint, we economists expect many of them to choose the commodity bundle at the kink in the budget constraint. Explain why.