6. For parts (a) - (c) below, write down a mathematical expression for Pat's budget constraint. Then, in a clear diagram, illustrate her feasible budget set. a Pat has $1000 per month, which he/she spends on lattes (x) and magazines (y). Each latte costs $2.00 and each magazine costs $4.00. i . The correct mathematical expression for Pat's budget constraint in this case is a. 2X + 4Y = 1000 b . 4X + 2Y = 1000 C . X + Y =1000 d. None of the above b. Pat still has $1000 to spend on the same two goods. Lattes still cost $2.00 and magazines $4.00. But now if he/she buys more than 100 magazines each month, Publishers Clearing House will allow her to buy those additional magazines at half price. Therefore, he/she pays $4.00 apiece for the first 100 magazines and $2.00 apiece for the 101# and beyond. i. For Y less than or equal to 100, Pat's budget constraint in this case is: 2X + 4Y = 1000 4X + 2Y = 1000 2X + 2Y = 1000 None of the above ii. For Y > 100, Pat's budget constraint in this case is: 2X +2Y = 1000 2X + 4Y = 1000 2X + 2Y = 800 2X + 4Y = 800 C . Again, Pat has $1000 to spend on the same two goods. Lattes still cost $2.00 and magazines $4.00. Now, however, the government's "Get Out & Read" program subsidizes him/her $2.00 per magazine up to the first 100 each month. Any magazines she buys beyond that, however, she must pay full price. i. For Y less than or equal to 100, Pat's budget constraint in this case is: 2X + 2Y = 800 b. 2X + 2Y = 1000 C. 2X + 2Y = 600