# Questions tagged [cost-functions]

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### For the cost function question (equation in image), I have found TVC as AVC*P. However the MC curve derived is giving imaginary number solution

For the cost function question (equation in image), I have found TVC as AVC*P. However MC curve is showing an imaginary number as solution.
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### Cost function related question

I am doing this practice problem for my exam: The question says: an industry consists of a large number of firms, each of which has a cost function of the form: $c(w_1,w_2,q)=(q^2+1)w_1+(q^2+2)w_2$ ...
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### What's the difference between fixed and variable O&M costs in power generation

Not sure what the difference is btwn Fixed and variable O&M costs. As you can see in this screenshot, both contain maintenance cost. While fixed o&m contains regular and irregular maintenance ...
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### isoquant of a leontief production function

Consider a firm that can produce q units of good G using two technologies and two production factors, $z_1$ and $z_2$. There are two ways how a firm can produce the good G: It can use 2 units of $z_1$ ...
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### Solving Cost Minimization with CES Production Function and Two Types of Input

A CES aggregator: $y=\left(\int_{0}^{1} y(i)^{\frac{\eta-1}{\eta}} d i\right)^{\frac{\eta}{\eta-1}}$, where $i \in[0,1]$. For each intermediate good: $y(i)=\ell_{r}(i)+\ell_{c}(i) / a(i)$, where $a(i)$...
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### How do you convert or move from a linear cost function to a quadratic cost function?

I am reading a book on electricity cost modelling. I understand equation 2.7 below, which indicates that the total cost for an ith plant is a function of fixed cost(FC), fuel cost(FL), plant ...
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### Why is MC = ATC the same point for both the breakeven point and an investor maximizing return?

Let $\pi(y) = R(y) - C(y)$ be profits where $R(y)$ is revenue and $C(y)$ is costs. Let $R(y) = p_y y$. Then \begin{align*} \frac{\partial \pi }{\partial y} &= 0\\ \frac{\partial x}{\partial y}(p_y ...
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### What is the returns to scale of the production function q = min {K, L^(1/2)}?

I learned that when there is decreasing returns to scale, the average cost is always increasing. But the professor told us today that the other way around might not always be true. So if average cost ...
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### Short Run Total Cost function Question

I am confused about the Short Run Total Cost function of this problem. If the firm's production function is $F(K,L) = K+\ln(L)$ derive the short run total cost function. I was able to solve the ...
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### Optimal Production Input in Relation to Cost Minimization Problem

I was doing my homework and got really confused about how to approach the optimal levels of inputs when there are three variables. My current understanding is that the problem is to solve the ...
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### Why is the price of capital ‘r’ ? (From Cost function)

according to the Cost formula in microeconomics class, Total Fixed Cost is represented as “rK” (K as in unchanging, fixed K) now my economics teacher tells me this ‘r’ is the interest rate at which ...
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### Production function involving profit maximisation

​Hi, I don't get how the answer of d is deduced in this question because I don't think I made any mistakes in my calculation and have also used all the information given. After knowing L is 800, I ...
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### Trade cost on Endowment model

I think in real endowment model, if there's trade cost as 't', then the MRS should be really small or large to make a consumer trade his endowment goods. Is there any model include this trade cost or ...
1 vote
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### Efficient Scale is necessarily equal to zero if $MgC(q=0) >$ Fixed Cost?

Assume the marginal cost is strictly increasing and always larger than the fixed cost - in particular, at $q=0$ (no production). Does it imply that the efficient scale is equal to zero? (Define ...
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### Derive the cost function for a Homothetic production function

I'm having trouble understanding the steps in showing that a Homothetic production function's cost function must be expressible in the form $C(w, q) = a(w)b(q)$. Since the production function is ...
1 vote
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### Coefficients of Cubic Total Cost Function

Given a Total Cost equation $TC(Q) = a + bQ + cQ^2 + dQ^3$ what do the coefficients mean? For example $a$ is fixed costs, what are $b,c,d$ and how are they calculated?
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