Suppose we wanted to investigate the saving and borrowing behavior of consumers. It’s not that difficult to extend our basic model. We can use the same framework as before, but define our two goods as “consumption in period 1” (horizontal axis) and “consumption in period 2” (vertical axis). a. Construct a budget constraint for a consumer who earns $100 in income in period 1 and $300 of income in period 2. Label this point E for the “Endowment” point. Assume that he can choose to save some income in period 1 to be used in period 2, or to borrow some income from period 2 to use in period 1. (Let’s imagine the consumer saves the money by putting it in a piggy bank and can borrow money from his parents, who don’t charge interest.)

Please no written by hand

For the case of two goods, give an example of a utility function U(x1, x2) that represents the preferences of a consumer who regards the two goods as perfect complements. Next, take the transformation f(U) = U³ of the your example utility function and explain if this newly gener ated function represents the original preferences. Further, provide clear arguments supporting or rejecting the claim that "f(U(x1, x2)) must be strongly increasing in (x1, x2)."

only question #2

Assume that you are on an island where there are only two commodities—coconuts and pineapples—and you can spend your income only on these two foods. If the price of coconuts is Pc and the price of pineapples is Pp and your income is I, draw a budget constraint, carefully labelling the points on the two axes and where the attainable and unattainable portions of consumption are. Note: you can choose any Pc and Pp that you like—they do not have to be equal. What is the slope of this budget constraint? What is the economic interpretation of the slope? Now, let’s bring a little more structure to this diagram. Let I=£200, Pc=£1 per coconut and Pp=£2 per pineapple. Draw a new diagram using these numbers. Consider these questions: How many coconuts can you buy if you do not buy any pineapples? How many pineapples can you buy if you do not buy any coconuts? What is the slope and what economic information does it give us? Show the point of 100 coconuts and 100 pineapples on your diagram. Can…

Can you please help awnser 8 d I have attached awnser to 8 a to make it easier to understand and complete.   Thank you

Given the following utility functions for Consumer A and Consumer B and their budget contraints: UA = X0.5Y0.5 UB = X0.2Y0.8 I= Px (X) + Py(Y) and given that: Px = 3, Py= 6 and I = 100 Fill in the blanks in the following table (round to two decimal places): Part 1: Part 2: Part 3: Part 4: For Consumer A, what is the optimal choice of X? Number For Consumer A, what is the optimal choice of Y? Number For Consumer B, what is the optimal choice of X? Number For Consumer B, what is the optimal choice of Y? Number

Can you explain the difference between an elastic and inelastic product?

question ii

Question one A consumer maximises the following utility function: i. ii. iii. iv. V. U(x) = x Inx₁ + (1 - α)Inx₂ Such that W=P₁x1 + P₂x₂ Derive the Marshallian demand function Derive the indirect utility function Discuss the properties of the indirect utility function and Marshallian demand function. Show that the Marshallian demand function satisfies all the properties What assumption about preferences ensures that the Marshallian demand function is a function and not a correspondence?