**What is expansion path in economics?** In economics, an expansion path (also called a scale line) is **a path connecting optimal input combinations as the scale of production expands**. … As a producer’s level of output increases, the firm moves from one of these tangency points to the next; the curve joining the tangency points is called the expansion path.

## What are the technical conditions of optimal combinations of inputs?

The first order conditions state that the variable factors are combined in an optimal manner when the ratio of marginal products is equal to the ratio of factor prices. This optimal combination is called the **least cost combination of inputs**.

## How do you calculate expansion path?

For any input prices, the firm uses y/a units of input 1 and y/b units of input 2 to produce y units of output (see its conditional input demands), so that its output expansion path is the **line z _{2} = (a/b)z_{1}.**

## How do you calculate income expansion path?

The income expansion path (also called income consumption curve, IEP) is a graph that shows how different income affects consumption of two different products. To find the income expansion path, **you find the consumer’s optimum of each budget constraint and draw a curve to connect the consumer’s optimums together.**

## How can you drive an expansion path of a firm?

First, it may want to expand by successively increasing its level of cost or its expenditure on the inputs X and Y, i.e., by using more and more of inputs, and, consequently, by producing more of its output. Second, the firm may decide to expand **by increasing its level of output per period**.

## What is optimal input level?

It is another application of the maximization principle, which says that the best level of an input is that **level for which its marginal benefit to the firm–the extra money the firm can obtain by hiring or buying the input**–just equals the marginal cost to the firm of hiring or buying the input.

## What is the least cost input combination?

To maximise its output for a given cost. Thus the least cost combination of factors refers to a **firm producing the largest volume of output from a given cost** and producing a given level of output with the minimum cost when the factors are combined in an optimum manner.

## What is isoquant curve?

An isoquant curve is **a concave line plotted on a graph**, showing all of the various combinations of two inputs that result in the same amount of output. Most typically, an isoquant shows combinations of capital and labor and the technological trade-off between the two.

## What is the long run expansion path?

The expansion path illustrates **the least-cost combinations of labor and capital** that can be used to produce each level of output in the long -run.

## What is the golden rule of cost minimization?

In order to maximize profits, firms must ensure that **any given output level is produced at least cost and then select the price-output combination that results in total revenue exceeding total cost by the greatest amount possible**.

## Why is the short run expansion path of the firm non optimal?

Optimal Expansion Path in the Short Run:

**The firm cannot choose the optimal expansion path OS**. It can expand its output only along the line С С’, as shown in Figure 21. But this is not the optimal expansion path because points P, S and T are not on the isocline.

## What is ridge line and expansion path?

The expansion path is also. an isocline that **connects** the least cost combinations of inputs for all yield levels. On expansion. path, the marginal rate of substitution must equal the input price ratio: Ridge lines represent the limits of the economic relevance, the boundaries beyond which the.

## How do you find the optimal level of input?

Profit = TVP – TC = TVP –TVC – TFC = Py. **Y – Px X – TFC**. The criterion for determining the optimum amount of input is derived from the slopes of total value product and total cost curves, when those curves are plotted as functions of the input, X.

## How is the most profitable amount of input determined?

Profit is maximized at the **level of variable input where the MVP = MIC**, that is, where the value of the additional output produced by using one more unit of variable input is equal to the cost of that last unit of variable input.

## What is the optimal level of output?

The optimal output, shown in the graph as Q_{m}, is **the level of output at which marginal cost equals marginal revenue**. The price that induces that quantity of output is the height of the demand curve at that quantity (denoted P_{m}).

## What is least cost combination in economics?

The principle of least cost combination states that if two factor inputs are considered for a given output the least cost combination will be such where **their inverse price ratio is equal to their marginal rate of substitution**.

## What is the least cost rule?

The least‑cost rule. States **that costs are minimized where the marginal product per dollar’s worth of each resource used is the same**. (Example: MP of labor/labor price = MP of capital/capital price).

## What is the least cost method?

Definition: The Least Cost Method is **another method used to obtain the initial feasible solution for the transportation problem**. Here, the allocation begins with the cell which has the minimum cost. The lower cost cells are chosen over the higher-cost cell with the objective to have the least cost of transportation.

## Why can’t two Isoquants cross?

Therefore, isoquants cannot intersect. An isoquant must always be convex to the origin. This is because of the operation of **the principle of diminishing marginal rate of technical substitution**. … The MRTS diminishes because the two factors are not perfect substitutes.

## What are the types of isoquant curve?

**Linear Iso-quant Curve**: This curve shows the perfect substitutability between the factors of production. Right Angle Iso-quant Curve: This is one of the types of iso-quant curves, where there is a strict complementarity with no substitution between the factors of production. …

## What is equal product curve?

Equal product curve is also known as **production indifference curves**. A given quantity of output that can be produced with different combination of inputs are shown by the isoquant. Isoquant curves are also called as Equal product, Isoproduct or Production Indifference curves.

## When both L AC and LMC are falling?

The LMC curve is derived by the points of tangency between LAC and SAC. Note an important relation between LMC and SAC here. **When LMC lies below LAC, LAC is falling**, while when LMC is above LAC, LAC is rising. At the point where LMC = LAC, LAC is constant and minimum.

## Why is average cost minimization important?

Cost minimization is **the process of reducing expenditures on unnecessary or inefficient processes**. … The goal of cost minimization strategy is to identify the area(s) in which a business can effectively reduce costs that will have the most beneficial effect on maximizing profits.

## What is the cost minimizing rule for hiring inputs?

The Cost-Minimization Rule

Firms aim **to achieve the greatest marginal product possible from each dollar they spend on the inputs to production**. To achieve this, firms will adjust the ratio of employment inputs until the marginal product per dollar is equal for all factor inputs; and this is the cost-minimization rule.

## What is the cost minimization rule?

Updated December 22, 2018. Cost minimization is a **basic rule used by producers to determine what mix of labor and capital produces output at the lowest cost**. In other words, what the most cost-effective method of delivering goods and services would be while maintaining a desired level of quality.

## References

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