Questions tagged [microeconomics]

Microeconomics is a branch of economics that studies the market behavior of individual actors (usually firms and consumers) and the aggregation of their actions in different institutional frameworks (usually the market).

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40 views

Comparing utility functions [closed]

I'm doing an econ course after not having any math or micro for a few years, now I'm totally missing the basics again. I'm wondering how to show that utility functions are an equivalent to each other: ...
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Questions regarding Marginal Rate of Technological Substitution

Definition of MRTS is: keeping constant the total output, how much input 1 has to decrease if input 2 increases by one extra unit. How then is MRTS_KL = MP_L / MP_K if MP_L = ΔQ/ΔL and MP_K = ΔQ/ΔK. ...
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44 views

$x\sim y$ implies $x+a\sim y+a$ for any $a\geq0$ and $x,y\in\mathbb R^n$, then the preference is linear?

$x,y,a$ are vectors in $\mathbb R^n$ We say $a\geq0$ if all directions of the vector $a$ is greater or equal to zero. We want to prove (or disprove by counterexample) that: Suppose $x\sim y$ ...
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1answer
43 views

Maximization when parameters are unknown

I would like to know if my understanding about how to find a maximum of the function when some parameters are unknown is correct. Consider the following maximization problem. $\max_{x}V=\int_0^{a(x)}...
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3answers
85 views

Why is demand curve always going down?

In many economic charts with demand and supply curve, people often say the demand curve goes down with more quantity. But I will give you a really practical example, why I think they are wrong. ...
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2answers
352 views

Proof that the budget set is closed [closed]

Mas-Colell, Whinston and Green's Microeconomic Theory affirms the budget set is closed. I would like to know why. The definition of open set in the book is the following:
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1answer
64 views

How does social cost and social benefit work?

I am really lost right now. I have a test tomorrow and I am stressing out. Whatever I look at for externalities, which could be my textbook, a website, notes from class, they all contradict each other....
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28 views

Am i correct here? #greenTaxes #priceMechanism #inefficientTax #DeadweightLoss [closed]

Now accoring to this article: https://www.telegraph.co.uk/news/2016/07/30/britain-banishes-plastic-bags-as-5p-tax-sees-usage-plummet-by-6/?fbclid=...
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1answer
195 views

How do I find optimal price or maximise profit in a monopolistic market?

How do I find the optimal price for a monopolist given the monopolist's cost function and market demand? I have $Profit(y) = p*y + C(y)$ where $p$ is price, $y$ is output, and $C(y)$ is total cost. ...
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1answer
2k views

Find optimal price from demand function?

I've been struggling with this for hours, trying to figure out how to solve this. "A perfectly competitive market has the marginal cost function, c (cost is C(y)=cy) and is facing the demand function:...
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1answer
890 views

Expenditure minimization with Leontief utility

I need to solve the expenditure minimization in a context where $u(x,y) = min\{x,y\}$, i.e. where utility is Leontief. The minimization problem is $$\text{min}_{x,y}\,\,p_xx+p_yy \\ \text{subject}\,...
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1answer
46 views

Common sense of economics as reflected in proverbs [closed]

May I ask what other proverbs reflect the common sense of economics, such as those who dig for gold are not better than those who sell shovels? What I'm talking about is that during the Gold Rush in ...
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1answer
440 views

Profit maximization and allocative efficiency result

I completely stuck to the last part of this exercise. I cannot understand how can I determine an allocative efficiency result. Any help will be appreciated. Thank you.
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1answer
140 views

Sustainable growth in the long run [closed]

Suppose that, in addition to physical capital and labour, an economy requires a fixed factor and a non-renewable resource to produce the final good. Prove that an economy with these input requirements ...
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1answer
44 views

Cross elasticity of demand [closed]

If Q1=(P2)⅔ 1. Determine the demand for good 1, when the price of good 2 is 8 2. Find the cross elasticity of demand for good 1, with respect to P2, when P2=2
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1answer
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Random Draft Allocation: Nash Equilibrium? [closed]

I would like to find the Nash equilibrium of the following allocation problem. There are 3 courses and 3 students. Each student has to take 2 courses, and each course has a capacity of 2 seats. ...
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1answer
80 views

Microeconomic Q on Total Revenue for Producer after Excise Tax [closed]

I had a question on how an excise tax per unit of good produced for a producer would affect total revenue for a producer of that good. The graph is that supply is perfectly elastic (horizontal) and ...
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1answer
127 views

Budget constraint when one of the goods can be sold

I'm studying for a microeconomics midterm and ran across the following question: A person consumes two goods, X and Y. The consumer's only source of income is given by the quantity of Y equal to ten,...
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1answer
1k views

Profit maximisation and cost minimization [closed]

Does profit maximisation always imply cost minimisation ? And Does cost minimization always imply profit maximisation ? Can we prove both the results ??
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1answer
152 views

Utility Maximization [closed]

Assume the utility function is $u(x,y,z)=y*min[x,z]$. The prices of all three goods are equal. The agent has an amount $M$ to spend on the goods. He has to choose one of the following schemes: A) Get ...
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1answer
416 views

What consumer preferences exhaust the budget?

Suppose that a consumer has a complete and transitive preference relation over R+. Further suppose that the consumer faces prices p = (p1,p2,...,p) 0 and has ...
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1answer
1k views

Slutsky and Hicks approach in calculating SE, IE. Differences and interpretation [closed]

Level: Ungrad, Micro I have a task, http://imgur.com/a/JT4zB I have done some questions. While I can't understand the differences between Slutsky and Hicks approach. I get it theoreticaly, but I don'...
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237 views

Consumer Theory (Finding demand function) [closed]

Here's the question that I really need help with: $$U(x,y)=(x^{0.5})+y$$ $MUx=\frac{1}{2x^{0.5}}$ and $MUy=1$, where $x$ is food, $y$ is clothing $Px$ is the price of food, $Py$ is the price of ...
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Estimate total variable cost function (TVC) and average variable cost function (AVP) from marginal cost function (MC)

I need to estimate the function expressions for $TVC$ and $AVC$ from the $MC$ function for different amounts of quantity $(Q)$ From the solutions I have, that For $Q \leq 50$ $MC1(Q) = -Q + 100$ $...
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1answer
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Proving government expenditure crowds out private consumption [closed]

Please help as I am not able to solve either parts.
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1answer
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Minimizing consumption in a single market( Partial Equilibrium)

Let there be a good X where the optimal consumption is 0; i.e the social costs for any unit provided would always be greater than the utility surplus of the market. We know that prohibiting it( ...
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1answer
46 views

Why do some phones depreciate faster than other?

Based on evidence from reselling sites (eBay, Amazon etc.) we can observe a trend that iPhones on average depreciate far less and slower than for example Samsungs (or other phones that lose their ...
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1answer
58 views

A preference relation $\succ$ is defined as $(x_1,y_1)\succ (x_2,y_2)$ if $x_1>x_2$ and $y_1> y_2$

Does this satisfy completeness property? I need an intuitive explanation of this preference relation as well. I am confused about the way how this relation is defined. The commodity Y in the first ...
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1answer
117 views

MRTS question involving production function [closed]

My work out shows constant MRTS and also increasing returns to scale. I thought the answer was C as I only found increasing marginal products of labour and capital. I really don't see how the answer ...
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1answer
30 views

Which of the following firms can operate in a perfectly competitive industry? [closed]

This was a question in a test. I am looking for an explanation for the answer. Firm A's cost of producing output y > 0 is c(y) = 1 + y Firm B's cost of producing output y is c(y) = y(1-y)^2 Answer: ...
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1answer
245 views

How to find the optimal consumption basket? [closed]

A consumer has the following utility function and income. 𝑈(𝑥, 𝑦) =1/2 * ln 𝑥 + 1/2 * ln y Price of 𝑥 = Price of 𝑦 = 100. Income = 1000 Suppose that the consumer gets 2 redeemable coupons for ...
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2answers
55 views

What's the market equilibrium price for the used good?

On a perfectly competitive market, a buyer wants to buy a used good. He is willing to pay $30$ for a badly used good, and $60$ for a nicely used good. The seller is willing to sell a badly used good ...
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1answer
517 views

Marginal rate of substitution(yx) question

For utility function U= ln(x)+Y How do I determine if MRS(yx) is diminishing or not for this question? I got Mu(x)=1/x and Mu(y)= 1 MRS(yx)=Mu(y)/Mu(x)= 1/1/x = x Does this mean that MRS(yx) is ...
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1answer
35 views

Imperfect Price Discrimination profit per group

During imperfect price discrimination is it possible to determine profit per group. For example: Aggregated Cost function: C(Q) = 18*Q + 5; where Q = q1 + q2 Aggregated Demand (AD) for group 1: q1(...
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1answer
70 views

Anti Piketty Confusing Movement Along Demand Curve with Shift

In Anti-Piketty, the author's claim that the statement "If the supply of any good is insufficient and it's price is too high, then demand for that good should decrease which should lead to a decline ...
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1answer
210 views

Pareto-optimal allocations in the Edgeworth box

If agent A has utility function $u(x_1, x_2)$ and agent B has utility function $v(x_1, x_2)$, what are the equation(s) that characterize the Pareto-efficient allocation of goods in the Edgeworth box? ...
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1answer
2k views

Inferior and normal good and the change in price of those goods

In general, We know that if a good is normal, then as your income increases, then demand of that good increases as well as price is fixed. Similarly, if a good is inferior, then as your income ...
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1answer
41 views

Will a consumer be more, or less willing to give up a commodity (for the other) for which they have been substituting another? [closed]

Statement: "Indifference curve analysis is based on the assumption of diminishing marginal rate of substitutiins. This means that as the consumer substitutes more and more of one commodity (say X) for ...
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2answers
60 views

How much of an assets price change is due to speculators and functional buys/sellers

If (for example) a heavily traded asset like crude oil has a price move of x, how much of that is influenced by functional buyers/sellers and how much by speculators? Let's say x is +100, there are 8 ...
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1answer
49 views

Finding out an optional consumption without calculation [closed]

I need help with this task. The utility function is U(a;b)=3a+2b. The prices for the goods a and b are equal. Explain what an optional consumption of the consumer would be without calculating. ...
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1answer
538 views

What is optimal profit for this company? [closed]

I am really struggling with the following question: Question: A company produces a product that they sell in two different countries. Because of transport costs, customs etc. it is not profitable ...
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1answer
2k views

Advanced Microeconomics: Deriving Slutsky Equation

I am not sure how to derive the demand for consumption of today's bread; the first thing the problem asks for. I think it might be a piecewise function based on the interest rate that gets you from ...
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1answer
414 views

Finding an exchange rate and competitive equilibrium given an initial allocation and utility function [closed]

I am attempting to solve the following question. "Smith and Jones are stranded on a desert island. Each has in his possession some slices of ham (H) and cheese (C). Smith is a choosy eater and will ...
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1answer
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Microeconomics for demand [closed]

Oscar’s demand for movies is given by Q = 10−2P. (a) What is the price elasticity of demand at a price of 2? Is Oscar’s demand elastic or inelastic at a price of 2? (b) Assume that the price is 3. ...
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1answer
58 views

Marginal Profit Derivation [closed]

Find the marginal profit of a firm with a profit function: $$P(q) = -192q + 88q^2 - 16q^3$$ I got $$\frac{dP}{dq} = -192 + 176q - 48q^2$$ However, the solution reads $$ \frac{dP}{dq}= -4(q-2)(q-...
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1answer
703 views

Is this answer correct for opportunity cost? [closed]

Shouldn't the answer the question be $0. Because you arent really giving up anything?
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1answer
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finding optimal values of quantities through utility function when MRS is 1 and price ratio is 1:2 [closed]

so this is a somewhat simple question but im stumped, here's why: given the utility U=2$X_1$+2$X_2$ where $P_1$$X_1$+$P_2$$X_2$=20 and $P_1$=0.5$P_2$ the question asks to find optimal values of $...
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1answer
844 views

Intuitively, why is Profit = (Price $-$ Average Cost) $\times$ Quantity?

Sources: p 289, Principles of Microeconomics (7 Ed, 2014) by N G Mankiw p 259, Modern Principles of Economics (2 ed, 2011) by Tyler Cowen, Alex Tabarrok Definitions: Profit $:=$ Total Revenue $−$ ...
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1answer
60 views

Microeconomics undergraduate ELASTICITY help (differentiating log-linear demand curve) [closed]

How do you show that the price elasticity of demand is a constant if the demand function is log-linear? To show this, how do you differentiate the log-linear demand curve to determine dQ/dp, and ...
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1answer
69 views

Cobb-Douglas function homotheticity

I've been given the Cobb-Douglas utility function: $\ u(q_1, q_2)=a\ln q_1+b\ln q_2=q_1^aq_2^b \ $ If I want to prove homothetic preferences, I use the following condition: $\ u(\lambda q_1, \...