1.For this problem, assume that Emily has a monthly budget of $144 to spend on fixed-price meals at her favorite restaurant.Lunch costs $6, and dinner costs $30.Emily's preferences for lunch and dinner are summarized by the information in the table below.

a.) Fill in the figures for marginal utility and marginal utility per dollar for both lunch and dinner.

b.) Are Emily's preferences consistent with the law of diminishing marginal utility?Explain briefly.

c.) Given her budget of $144, how many lunches and dinners will Emily buy to maximize her utility?Explain briefly.

d.) Now suppose the price of lunches rises to $8.Which of the columns in the table must be recalculated?Do the required calculation.

e.) After the price change, how many lunches and how many dinners will Emily buy to maximize her utility?

f.) Use your answers to 'c' and 'e' to sketch Emily's demand for curve for lunch at the restaurant.Your demand curve should be clearly labeled.

Full question attached down below:

2. For this problem, assume that Emily has a monthly budget of $144 to spend on fixed price meals at her favorite restaurant. Lunch costs $6, and dinner costs 530. Emily's preferences for lunch and dinner are summarized by the information in the table below. (Total: 14 points} Dinner Marginal Marginal No. per Total Marginal Marginal Utility Utility month Utility Utility Utility per per dollar dollar (MUfPl a. Fill in the figures for marginal utility and marginal utility per dollar for both lunch and dinner. (4 points] b. .l-'tre Emily's preferences consistent with the law of diminishing marginal utility? Explain briefly. (2 points] c. Given her budget of 5144, how many lunches and dinners will Emily buy to maximize her utility?l Explain briefly. (2 points] d. Now suppose the price of lunches rises to 58. Which of the columns in the table must be recalculated? Do the required calculation. (2 points] e. After the price change, how many lunches and how many dinners will Emily buy to maximize her utility? (2 points] f. Use your answers to 'c' and 'e' to sketch Emily's demand for curve for lunch at the restaurant. Your demand more should be clearly labeled. (2 points]