She has no specific proportion that she must consume Lassos and baseball in$.$ In $2022,$ the price of baseball was $$4$ per baseball, and Sue purchased $100$ baseballs. She also purchased $10$ lassos at a price of $$10$ a lassos.

Question $1$; Sketch an indifference curve$/$budge line diagram that illustrates this situation with baseball on the horizontal $($X$)$ axis and lassos on the vertical axis$($Y$)$ axis. Be sure to include Sues budge constrains in $2022($including intercept$)$ and her indifference curve in $2022($assuming she is a utility maximizer$).$ What is Sues income this year?

Question $2$; in $2023$ the price of baseballs falls to $$2$ per baseball while Sue's income is unchanged. Please add on to your sketch in part $($a$)$ to include Sue's budget constraint in $2023($with intercepts$).$ While you will not be able to find an exact bundle amount, indicate an appropriate utility maximizing consumption bundle in $2023$ and draw in the utility$/$indifference curve. You can redraw the graph in $($a$)$ below and add in the $2023$ budget constraint and utility curve or you may add to your graph in part $($a$).$Question $3$; Assume that baseballs are a normal good. What does this assumption imply about how many baseballs Sue purchases in $2023($after the price decrease$)?$ Be sure to discuss the substitution and income effects in your answer.Question $4$: Suppose in $2024,$ Sue decides to share her good fortune $($due to the decrease in the price of baseballs$)$ by giving her retired father a gift of $$200,$ thus decreasing her income by $$200.$ The price of baseballs remains at $$2$ and the price of lassos remains at $$10.$Draw the new budget constraint $($you can redraw the graph below or denote it on the graph in $($a$)$ or $($b$)).$ Make sure to label the new intercepts. Note: If you redraw the graph, make sure to also put both budget constraints and indifference curves in $2022$ and $2023$ from parts a and b$.$

Question $5$: Given that in $2024$ the price of baseballs is $$2$ a baseball and the price of lassos is $$10$ a lasso and Sue gives $$200$ to her father, would Sue be able to consume at the same consumption bundle as she did in $2022?$ 

Will she choose to do so$?$ Can she obtain a higher utility at a different consumption point while still consuming with in her budget? Explain your answer.