Questions tagged [producer-theory]
Study of the behavior of firms in organizing their production and allocating productive resources.
52
questions
1
vote
0answers
15 views
Kuhn-Tucker conditions in linear cost minimization
Suppose we have the production function $f: \mathbb{R}^{2} \to \mathbb{R}$ given by
$$
f(x,y) = ax + by
$$
and input prices $p_{1}$ and $p_{2}$, and we want to minimize the cost function $p_{1}x_{1} ...
0
votes
0answers
14 views
Determine lot size with extra constraints and EOQ formula
Given a fixed price of 250,00 dollars for the warehouse and the price of the product is 5,00 dollars per product.
The order cost is 500,00 dollars but if more than 1000 products are ordered then it ...
2
votes
1answer
34 views
Do property values capture producer choice in agriculture?
I am interested in conducting research into how climate change impacts the social welfare of a country, particularly how it affects producers of agricultural product. My immediate thought was that as ...
0
votes
1answer
24 views
Perfectly elastic supply
How would you algebraically write a perfectly elastic supply?
Will it be infinite at price = 4? (The choice of the number 4 is completely arbitrary)
1
vote
1answer
51 views
Value Function For Durable-Good Monopolist with General Distribution
It is known that with a unit mass of consumers, each of whom has a value distributed between 0 and 1, one can think of the monopolist solving
\begin{equation}
\max_{p} \ p[1-F(p)]
\end{equation}
when ...
-2
votes
1answer
28 views
How can i determine the homogeneity degree of Stone Gaery function? [closed]
I dont know how to demonstrate homogeneity degree of this function
$(X-\alpha)^{\beta}(Y)^{1-\beta}$
Any idea?
Thanks.
6
votes
1answer
65 views
Intermediate Case of Bertrand and Cournot
I am wondering whether there is a model of oligopolies in which we have some intermediate case of Bertrand and Cournot competition. What I do not mean by "intermediate" is the mixed Bertrand - Cournot ...
2
votes
0answers
484 views
Finding long run equilibrium price, quantity and number of firms with a linear average cost function
I've been been brushing up on my micoreocnomics lately and I came across a question in Perloff that looked really simple, but for some reason I am struggling to answer:
Assume we are in the long run ...
-2
votes
1answer
107 views
Changing Constant Factor Demands
I’ve been given this true false question: Consider the minimization of wL + rK given F(K, L) $\geq$ Q with F(K, L) strictly increasing in K and L. The conditional factor demands K*(Q, w, r) and L*(Q, ...
2
votes
0answers
111 views
How is Aggregate Supply(Willing) equal to National Income(Actual)?
Acc. to definition of Aggregate Supply
It is the total value of final goods and services that the producers are willing to supply in country .
Definition of National Income
It is the value of ...
1
vote
0answers
16 views
Is the definition of Investment variable in Economics?
I studied that Investment is the expenditure incurred on the procurement of such goods that would help us in production of goods and services.
And mainly consists of Fixed and Inventory Investment
...
2
votes
1answer
127 views
Why does a homothetic function have constant ratio of marginal products along rays?
A homothetic ordering is defined as
$x \succeq y \Rightarrow \lambda x \succeq \lambda y \qquad \forall \lambda >0$
where $x,y \in \mathbb{R}^n$
Then, any differentiable function representing ...
1
vote
1answer
327 views
MICROECONOMICS: Optimal quantity produced in a Perfect Competition Market
Suppose the Total Cost function of a firm in Perfect Competition is
given by: $$C(q) = 450 + 15q + 2q^2$$
The market price is $P = 15$ per unit
Determine the optimal quantity produced by ...
3
votes
1answer
65 views
How to improve the underperforming construction productivity by correcting its market failures?
Globally, labor-productivity growth in construction has averaged only 1 percent a year over the past two decades, compared with growth of 2.8 percent for the total world economy and 3.6 percent in the ...
0
votes
1answer
71 views
Consider the following production function $Q=min \left(\frac{L}{2a}, \frac{K}{4b}\right)$. Let $w$ and $r$ be the wage and rental rate respectively [closed]
The cost function associated with this production function is
$A) 2awQ\\
B) 4brQ\\
C) (wa + 2br)Q\\
D) None\; of\; the\; above$
What I have tried is:
We have the cost function $wL+rK=C$.
Since, here, ...
2
votes
0answers
985 views
How to find the “cost function” given the production function *as well as* the cost per unit produced and the fixed costs?
I'm working on the following homework problem, transcribed verbatim:
A firm has a production function defined as $y = 8L^{1/4}K^{3/4}$. The firm faces costs of \$20 wage, \$60 rental rate of ...
0
votes
3answers
1k views
Is it possible to have constant marginal cost and decreasing average cost simultaneously? [closed]
I thought about possibility of occurring such event in the case of presence of fixed costs, but I would like to know others opinions.
0
votes
1answer
618 views
Are all points on the Long Run Average Cost (LRAC) curve productively efficient?
The definition of productive efficiency is that any given output is produced for the lowest possible cost.
In the short run, only the minimum point on the SRAC curve is productively efficient - this ...
2
votes
1answer
181 views
Help with this microeconomics exercise
The question:
A price-taking farmer produces a crop with labor L as the only input.
His production function is:$$F(L) = 10L^{1/2} − 2L$$
He has 4 units of labor
in his family and he cannot hire ...
1
vote
1answer
306 views
Some doubts about netput vectors
I have started studying producer theory on my own and there are some confusions.
We know that a production plan is $y=(y_{1},y_{2},y_{3}....y_{L})$ where $ y_{i} $ is an output if its greater than $0$...
3
votes
0answers
88 views
Is it possible to derive the marginal product of an input using a transformation function?
I'm using a transformation function $F(\cdot)$ to describe a production set $y = (x, z, L, K)$, where $x$ and $z$ are private goods denoted by positive numbers, $L$ is labour input, $K$ is capital ...
3
votes
2answers
62 views
Pricing Education
On what basis do colleges/private schools price a given course assuming class size and direct costs are the same?
My current understanding is in my question on private school behaviour regarding the ...
1
vote
1answer
494 views
What is the meaning of the weights in a CES-production function?
In different paper I offen encounter two types of CES production functions
$y=\left[\left(1-\omega \right) x_{1}^{\frac{\sigma -1}{\sigma}}+ \omega x_{2}^{\frac{\sigma -1}{\sigma}} \right]^{\frac{\...
1
vote
0answers
16 views
Delaying wages in response to slack?
I'm reading a book about the economic development of South Korea during the 'miracle' period.
One of the points the author makes is the following:
A major source of industrial disputes was ...
1
vote
0answers
779 views
Shape of Isoprofit Curves for Strategic Complements
Two goods are strategic complements if:
$$\frac{\partial \pi_1}{\partial q_2}>0\;\text{and}\;\frac{\partial \pi_2}{\partial q_1}>0$$
The image below is a picture of best response functions and ...
1
vote
1answer
20 views
Retailer Price Setting for Existing Inventory in the Event of an Increase in Price Paid for the Good
If you are a retailer, and the price you pay for one of your retail goods goes up, how do you price the inventory you already had (which you paid a lower price for)?
Here is an example of a TFD (True,...
11
votes
4answers
1k views
Are There Giffen Inputs?
I am studying for my candidacy exams and I came across this question on a previous exam. The question is in the TFD (True, False, Debatable) section of the exam. The claim is:
There are no Giffen ...
2
votes
2answers
104 views
What would make a restaurant offer all-day breakfast?
Some restaurants particularly fast food ones offer breakfast food only during, well, breakfast hours. Other restaurants however offer breakfast food throughout their opening hours. Some restaurants ...
2
votes
1answer
43 views
Producer's cost for buying full solution vs. buying parts
This may be a very basic question.
From a producer's standpoint, what are the theoretical or empirical results on the comparison of cost between buying assembled or full solutions from suppliers vs. ...
0
votes
2answers
2k views
Does the contract curve always have to connect the initial points on an edgeworth box? Why or why not?
What if the contract curve goes out of bounds? In that case, do I assume it superimposes itself on the axes it is closest to?
I hope this was clear. Not sure how to explain this other than visually......
3
votes
2answers
628 views
Why are some goods without close substitutes not sold in some countries?
Especially in consumer electronics, a large number of goods are offered only in some countries. Usually this holds only for products which have some close substitutes available (e.g., screens, where a ...
4
votes
1answer
242 views
Elasticity of substitution in Jehle and Reny Advanced Micro (3rd ed) exercise 3.8
Letting $f_i(\mathbf{x})=\partial f(\mathbf{x})/\partial x_i$, ($\mathbf{x}$ is a vector, a commodity bundle, and $x_i$ is a scalar, commodity $i$ in the bundle) show that,
$\sigma_{ij}(\mathbf{x})\...
1
vote
2answers
823 views
Economic Order Quantity w/ no set up costs
Is it possible to modify the EOQ model to work in a purchasing environment when ordering costs are effectively $0$?
The classic EOQ model is:
$$
Q=\sqrt{2aK/h}
$$
with $a$ being demand, $K$ ordering ...
1
vote
0answers
282 views
Curvature of Cost and Production Function
I have been trying to understand the duality theory between cost and production function. Please let me know if my following statement is correct;
If the cost function $C(w,q)$ is convex in $q$, the ...
10
votes
3answers
1k views
CES Production Function with $\rho>1$
In using CES production functions of the form $f(x_1,x_2)=(x_1^\rho+x_2^\rho)^{1/\rho} $, we always assume that $\rho\leq1$. Why do we make that assumption? I understand that if $\rho>1$, the ...
1
vote
0answers
608 views
Monotonic Transformation
How does positive monotonic transformation of production function effect the resulting profit function?
For example if we had production function $f(x) $ and that gave profit function $\pi(p,w)$. Now ...
3
votes
1answer
99 views
Homothetic Production Technologies
Can someone suggest a good resource on homothetic technologies and what properties they imply about cost function, profit function, input demands, output supply etc? Also is it possible to have ...
3
votes
1answer
659 views
Homothetic production function and Profit Function
I know that homothetic production function implies that cost function is multiplicatively separable in input prices and output, and it can be written as
C(w,y)=h(y)C(w,1). Can some one help me derive ...
5
votes
1answer
68 views
Evidence that open source production processes increase efficiency and/or consumer surplus?
Is there peer reviewed evidence that open source production processes increase efficiency and/or consumer surplus? It seems that the first theorem of welfare economics requires complete markets which ...
7
votes
2answers
3k views
Which utility function yields a constant price elasticity of demand function?
How do I know which utility function I can use to find an isoelastic demand function, e.g., $x(p)=Ap^a$?
And similarly, which cost function can I use to find an isoelastic supply function?
Does it ...
1
vote
2answers
67 views
What is this economic theory? Cost of investment vs production accounting for time?
I know there has got to be a standard set of theories or formulas to chart this but I don't know how to search for it. Other than a great place like this. :)
I'm a software developer and not an ...
4
votes
1answer
371 views
Maximisation problem in a multiproduct firm
I am currently reading the book "Microeconomics: Principles and Analysis" by Cowell on my own. I'm interested in the section of the multiproduct firm, but i'm confused with the use of the profit ...
4
votes
0answers
51 views
How do organisations diversify? Determinants of choosing new target industries
A very weird question I agree.
I am interested in understanding the motives behind firm behaviours of diversification. Why would some firms choose new target sectors/activities?
Is there any ...
5
votes
2answers
306 views
Is it true that $\frac{dL}{dq}=1/\frac{\partial q}{\partial L}$?
Marginal costs MC is defined as $MC=\frac{dC}{dq}$. Taking into account that $C=wL+rK$,
$$MC=\frac{dC}{dq}=w\frac{dL}{dq}+r\frac{dK}{dq}$$
Recall that marginal product of labor $MP_{L}=\frac{\...
0
votes
1answer
112 views
Minimization of costs combination of factors of production
Given the production function $D(x,y,z)=\min\{2x, \left( 2y+4z\right)\}$, and knowing that P-price $P_x=30,P_y=20,P_z=5$ and volume of production $D=200$. How much of x,y and z is needed to minimize ...
1
vote
1answer
52 views
Substitutive or supportive factors of production
Given the function:
$y=A K^\alpha L^\beta, A,\alpha,\beta >0$
$y=aK+bL^{0.5}, a,b>0$
Decide whether capital and labour are substitute or supportive factors of production. How to solve this ...
1
vote
0answers
301 views
Given Cobb-Douglas production functions for 2 factories (same owner), how will the owner produce $y$?
So my question is this:
A company owns two factories, A and B, each with the following production functions:
$f_A(x_1,x_2)=x_1^{\alpha}x_2^{1-\alpha}$
$f_B(x_1,x_2)=x_1^{\beta}x_2^{1-\beta}$
Now ...
4
votes
1answer
19k views
Equilibrium price and quantity - consumer and producer surplus
Inverse function of market demand for certain good is equal to $P=100-0.25Q$, inverse supply function is $P=20+0.55Q$. Calculate equilibrium price and quantity. Furthermore calculate consumer and ...
4
votes
2answers
3k views
Monopoly pricing under constant elasticity of demand
While reading Ch. 24-Monopoly from Intermediate Microeconomics by Hal Varian (8 th edition), on pg. 441, he writes that a monopolist will never choose to operate where the demand curve is inelastic. I ...
2
votes
0answers
172 views
undergrad Producer theory problem [closed]
Two commodities, X and Y, are produced with identical technology and are
sold in competitive markets. One unit of labour can produce one unit of each of
the two commodities. Labour is the only ...
