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Assume that a firm's total cost function is TC = Q 3-5Q 2 +60Q +125. Then its variable cost function is Q 3 –5Q 2 +60Q, and its average variable cost function is (Q 3 –5Q 2 +60Q)/Q= Q 2 –5Q + 60. The slope of the average variable cost curve is the derivative of the latter, namely 2Q – 5.
The marginal cost can also be calculated by finding the derivative of total cost or variable cost. Either of these derivatives work because the total cost includes variable cost and fixed cost, but fixed cost is a constant with a derivative of 0. The total cost of producing a specific level of output is the cost of all the factors of production.
Variable cost: Variable costs are the costs paid to the variable input. Inputs include labor, capital, materials, power and land and buildings. Variable inputs are inputs whose use vary with output. Conventionally the variable input is assumed to be labor. [5] Total variable cost (TVC) is the same as variable costs. [5]
Average variable cost plus average fixed cost equals average total cost (ATC): + =. A firm would choose to shut down if the price of its output is below average variable cost at the profit-maximizing level of output (or, more generally if it sells at multiple prices, its average revenue is less than
In Cost-Volume-Profit Analysis, where it simplifies calculation of net income and, especially, break-even analysis.. Given the contribution margin, a manager can easily compute breakeven and target income sales, and make better decisions about whether to add or subtract a product line, about how to price a product or service, and about how to structure sales commissions or bonuses.
The more variable costs used to increase production (and hence more total costs since TC=FC+VC), the more output generated. Marginal costs are the cost of producing one more unit of output. It is an increasing function due to the law of diminishing returns , which explains that is it more costly (in terms of labour and equipment) to produce ...
Fixed costs and variable costs make up the two components of total cost. Direct costs are costs that can easily be associated with a particular cost object. [2] However, not all variable costs are direct costs. For example, variable manufacturing overhead costs are variable costs that are indirect costs, not direct costs. Variable costs are ...
One can decompose total costs as fixed costs plus variable costs: = + Following a matching principle of matching a portion of sales against variable costs, one can decompose sales as contribution plus variable costs, where contribution is "what's left after deducting variable costs". One can think of contribution as "the marginal contribution ...