Average cost = Total cost / number of units of a good produced.
So Total cost = Average cost X No. of units of a good produced
derive cost function from production function mathematically, usually done by utilizing mathematical optimization methods.
Find (i) the marginal and (2) the average cost functions for the following total cost function. Calculate them at Q = 4 and Q = 6.
To derive a cost function from a production function, you can use the concept of input prices and the production technology. By determining the optimal combination of inputs that minimizes cost for a given level of output, you can derive the cost function. This involves analyzing the relationship between input quantities, input prices, and output levels to find the most cost-effective way to produce goods or services.
To determine the total cost function for a given scenario, one must identify all the costs associated with the scenario, such as fixed costs and variable costs. By analyzing the relationship between the input factors and the total cost, one can derive a mathematical equation that represents the total cost function. This equation can then be used to calculate the total cost for different levels of input factors in the scenario.
find (i) the marginal and (2) the average cost functions for the following total cost function. Calculate them at Q=4 and Q=6, TC=3Qsquare + 7Q + 12 Avg=25 Marginal cost=24 Total cost = if Q=4 = 88 & if Q = 6 * 162
derive cost function from production function mathematically, usually done by utilizing mathematical optimization methods.
Find (i) the marginal and (2) the average cost functions for the following total cost function. Calculate them at Q = 4 and Q = 6.
To derive a cost function from a production function, you can use the concept of input prices and the production technology. By determining the optimal combination of inputs that minimizes cost for a given level of output, you can derive the cost function. This involves analyzing the relationship between input quantities, input prices, and output levels to find the most cost-effective way to produce goods or services.
To determine the total cost function for a given scenario, one must identify all the costs associated with the scenario, such as fixed costs and variable costs. By analyzing the relationship between the input factors and the total cost, one can derive a mathematical equation that represents the total cost function. This equation can then be used to calculate the total cost for different levels of input factors in the scenario.
find (i) the marginal and (2) the average cost functions for the following total cost function. Calculate them at Q=4 and Q=6, TC=3Qsquare + 7Q + 12 Avg=25 Marginal cost=24 Total cost = if Q=4 = 88 & if Q = 6 * 162
Marginal cost - the derivative of the cost function with respect to quantity. Average cost - the cost function divided by quantity (q).
Average Variable Cost = Total Variable Cost/ Quantity Average Cost = Average Fixed Cost + Average Variable Cost Average Cost = Total Cost/Quantity
Not necessarily. Total Cost = Fixed Cost + Variable Cost; Variable Cost=f(Quantity) and if f`(Quantity)>0 it implies that as quantity produced rises variable cost would rise. Average Total Cost=Average Fixed Cost + Average Variable Cost. If initially the Total Cost function is more of an odd function (mostly it is) then the Average Cost will look more like a parabola i.e. it will tend to fall becuase the Fixed Cost gets thin but later that is overtaken by the increase in Variable Cost. But there are cases when Average Total Cost does fall continuously as quantity increases and these involve huge Fixed Costs like say Electric Supply Infrastructure. This is called natural monopoly.
Find the integral of the marginal cost.
Average total cost is the average of all your costs. This is your Fixed Costs and your Variable costs. Average Variable Cost is the average of your costs that can fluctuate.
When marginal cost is below average total cost, average total cost tends to fall, as each additional unit produced is less expensive than the average of previous units. Conversely, when marginal cost is above average total cost, average total cost rises, since producing additional units adds more cost than the average. Thus, if marginal cost is falling while it is below average total cost, it could lead to a further decrease in average total cost, while rising marginal cost above average total cost would increase it.
When average total cost curve is falling it is necessarily above the marginal cost curve. If the average total cost curve is rising, it is necessarily below the marginal cost curve.