Suppose that you have an income of $20 to spend on sticky hands and gumballs. Both cost $1.00. a. Solve for the budget constraint in y = mx + b form, using gumballs as your x variable. Graph the budget constraint. Draw an indifference curve such that the optimal consumption bundle is 10 gumballs and 10 sticky hands. b.  Suppose that the price of sticky hands falls to 50 cents. Draw the new budget constraint, original budget constraint from a.) and original indifference curve from a.) in a new graph. Draw a new optimal in indifference curve such that gumballs and sticky hands are complements and sticky hands are inferior goods.

Give answers for d), e), f).

If Joe decides to allocate his entire weekly allowance between energy drinks and coffee, he could afford 9 energy drinks and 3 cups of coffee, or 6 cups of coffee and 2 energy drinks. Suppose a cup of coffee costs £2.80. a) Calculate the price of an energy drink and Joe's weekly allowance. Write down Joe's budget equation and draw the corresponding budget line. Mark the two consumption bundles mentioned above. In your graph, clearly label the axes, the budget line, and calculate the coordinates of the points of intersection of the budget line with each axis. Interpret each of those points. b) Discuss how Joe's budget set would change if his allowance was reduced by £5.20 a week. Show the relevant changes graphically. How should the price of coffee change so that Joe could still afford to buy 6 cups of coffee and 2 energy drinks? c) Discuss how Joe's budget constraint would change if the government subsidised consumption of coffee by £0.50 per cup of coffee.

Rick consumes 2 goods, Chicken McNuggets (M) with Szechuan sauce (S). His utility function is U(M, S) = M2/3S1/3 and his income is m. The price of Chicken McNuggets is p, and the price of Szechuan sauce is 1. g. On the same graph, show the (hypothetical) budget constraint that is tangent to the indifference curve from part (e) but parallel to the budget constraint in part (f). h. On the same graph, show the income and substitution effects of the increase in p from 1 to 2 on Rick’s consumption of Chicken McNuggets. Are Chicken McNuggets a normal or inferior good for Rick? Explain your answer. i. Find the equation representing the (hypothetical) budget constraint drawn in part (g). Hint: you know this budget constraint has the same prices as in part (f), so you need to find the income level m that makes the budget constraint just tangent to the indifference curve passing through Rick’s chosen consumption bundle in part (e).

Draw a budget constraint for two goods and set of indifference curves over the  possible combinations of the goods. Label the optimal consumption bundle for your drawing.

Emily is a utility maximizer. Her income is $100, which she can spend on cafeteria meals and on notepads. Each meal costs $5 and each notepad costs $2.  At these prices Emily chooses to buy 16 cafeteria meals and 10 notepads. a) Draw a diagram that shows Emily’s choice using an indifference curve and her budget line, placing notepads on the vertical axis and cafeteria meals on the horizontal axis. Label the indifference curve, I1, and the budget line BL1.  Make sure you calculate the endpoints of the budget constraint. b) The price of notepads falls to $1; the price of cafeteria meals remains the same. On the same diagram, draw Emily’s budget line with the new prices and label it BL2.  c) Lastly, Emily’s income falls to $90. On the same diagram, draw his budget line with this income and the new prices and label it BL3. Is she worse off, better off, or equally as well off with these new prices and lower income than compared to the original prices and higher income?

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Sally consumes two goods, X and Y. Her utility function is given by the expression U = 2XY3. The current market price for X is $20, while the market price for Y is $10. Sally's current income is $500. a. Write the equation for Sally's budget constraint. What is the slope of her budget line? b. Determine the X,Y combination which maximizes Sally's utility, given her budget constraint.

A consumer has a budget of £12 to split between two goods: good 1 has a price of 2, good 2 has a price of 3. Write the consumer’s budget constraint algebraically. Convert this budget constraint into the formula for the budget line. Show this line on a suitably labelled graph. The consumer’s budget increases to £24. Show the effect of this change graphically.  A consumer dislikes good 1, and dislikes good 2. Show these preferences on a suitably labelled graph with an indifference curve. Label the graph: which areas would be preferred to those on the line?