Consumption and utility theory

Carlos has $ 40.00 to spend a week on lunches and glasses of wine. The price of each lunch is $ 8.00 and the price of each glass of wine is $ 4.00. The following table presents Carlos's total utility related to lunches and glasses of wine.

Amount per week Utility per lunch Amount per week Utility per glass of wine 0 0 0 0 1 65 1 55 2 105 2 103 3 137 3 139 4 165 4 163 5 191 5 185 6 215 6 205 7 237 7 218 8 257 8 228 9 274 9 235 10 290 10 240

a. Identify the marginal utility and the marginal utility per dollar when Carlos buys 5 lunches a week. b. Identify the marginal utility and marginal utility per dollar when Carlos buys 7 glasses of wine a week. c. Identify the quantities of lunches and glasses of wine that Carlos should be able to buy with his $ 40.00 and how much would be his maximum total profit that he achieves per week. d. If the price of each lunch is $ 4.00 and the price of each glass of wine is $ 4.00, identify the quantities of lunches and glasses of wine that Carlos should be able to buy with his $ 40.00 and how much would be his maximum total profit that he achieves per week . e. Name two points on Carlos's demand curve for lunches.