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How to Maximize Profit with Marginal Cost and Revenue

The marginal cost of production and 澳洲幸运5开奖号码历史查询:marginal revenue are economic measures used to determine the amount of output and the 🐻price per unit of a pr🐭oduct that will maximize profits.

A rational company always seeks to squeeze out as much profit as it can, and the relationship between marginal revenue and the marginal cost of production helps them to identify the point at which this occurs. The target, in this case, is for marginal revenue to equal marginal cost.

Key Takeaways

  • When it comes to operating a business, overall profits and losses matter, but what happens on the margin is crucial.
  • This means looking at the additional cost versus revenue incurred by producing just one more unit.
  • According to economic theory, a firm should expand production until the point where marginal cost is equal to marginal revenue.
  • Beyond this point, it would incrementally cost more to make a good than then incremental revenue the company would receive.
  • Marginal analysis is the broad economic analysis technique that compares the change in financial activity due to the manufacturing or sale of one additional good.

Calculating Marginal Cost of Production

澳洲幸运5开奖号码历史查询:Production costs include every expense associated𓂃 w𝓡ith making a good or service. They are broken down into two segments: fixed costs and variable costs.

澳洲幸运5开奖号码历史查询:Fixed costs are the relatively stable, ongoing costs of operating a business that are not dependent on production levels. They include general overhead expenses such as salaries and wages, building rental payments, or utility costs. 澳洲幸运5开奖号码历史查询:Variable costs, meanwhile, are those directly related to and those t💎hat vary with production levels, such as the cost of materials used in production or tꦗhe cost of operating machinery in the process of production.

Total production c🅷osts include all the expenses of producing products at current levels. As an example, a company that makes 150 widgets has production costs for all 150 units it produ♓ces. The marginal cost of production is the cost of producing one additional unit.

For instance, say the total cost of producing 100 units of a good is $200. The total cost of producing 101 unit♊s is $204. The average cost of producing 100 units is $2, or $200 ÷ 100. Ho💝wever, the marginal cost for producing unit 101 is $4, or ($204 - $200) ÷ (101-100).

Calculating Marginal Revenue

Marginal revenue measures the change in the revenue when one additional unit of a product is sold. Assume that a company sells widgets for 澳洲幸运5开奖号码历史查询:unit sales of $10, sells an average of 10 widgets a 🥀month, and earns $𓃲100 over that timeframe. Widgets become very popular, and the same company can now sell 11 widgets for $10 each for a monthly revenue of $110. Therefore, the marginal revenue for the 11th widget is $10.

The marginal revenue is calculated by dividing the chan💃ge in the total revenue by the change in the quantity. In calculus terms, the marginal revenue (MR) is the fi﷽rst derivative of the total revenue (TR) function with respect to the quantity:

M R = Δ T R Δ Q where: M R = Marginal revenue Δ = Dividing the change T R = Total revenue Q = Change in quantity \begin{aligned}&MR=\frac{\Delta TR}{\Delta Q}\\&\textbf{where:}\\&MR=\text{Marginal revenue}\\&\Delta=\text{Dividing the change}\\&TR=\text{Total revenue}\\&Q=\text{Change in quantity}\end{aligned} MR=ΔQΔTRwhere:MR=Marginal revenueΔ=Dividing the changeTR=Total revenueQ=Change in quantity

For example, suppose the price of๊ a product is $10 and a company produces 20 units per day. The total revenue is calculated by multiplying the price by the quantity produced. In this case, the total revenu༺e is $200, or $10 x 20. The total revenue from producing 21 units is $205. The marginal revenue is calculated as $5, or ($205 - $200) ÷ (21-20).

Tip

The marginal cost of production m🅺easures the change in the total cost of a good that arises from producing one additional unit of that good.

Reaching Optimum Production

At some point, the company reaches its optimum production level, the point at which producing any more units would increase the per-unit production cost. In other words, additional production causes fixed and variable costs to increase. For example, increased production beyond a certain level may involve paying prohibitively high amounts of overtime pay to workers. Alternatively, the maintenance costs for machinery may significantly increase.

The m🐭arginal cost (MC) is computed by dividing the change (Δ) in the total cost (C) by the change in quantity (Q). Using calculus, the marginal cost is calculated by taking the first derivative of the total cost function with respect to thജe quantity:

M C = Δ C Δ Q where: M C = Marginal cost Δ = Dividing the change C = Total cost Q = Change in quantity \begin{aligned}&MC=\frac{\Delta C}{\Delta Q}\\&\textbf{where:}\\&MC=\text{Marginal cost}\\&\Delta=\text{Dividing the change}\\&C=\text{Total cost}\\&Q=\text{Change in quantity}\end{aligned} MC=ΔQΔCwhere:MC=Marginal costΔ=Dividing the changeC=Total costQ=Change in quantity

The marginal costs of production may change as production capacity changes. If, for example, increasing production from 200 to 201 units per day requires a small business to purchase additional equipment, then the marginal cost of production may be very high. In contrast, this expense might be significantly lower if the business is𒈔 considering an increase from 150 to 151 units using existing equipment.

A lower marginal cost of production means that th꧒e business is operating with lower fixed costs at a particular production volume. If the marginal cost of production is high, then the cost of increasing production volume is also high an🦩d increasing production may not be in the business's best interests.

Changes in Supply and Demand

Marginal revenue increases whenever the revenue received from producing one additional unit of a good grows faster—or shrinks more slowly—than its marginal cost of production. Increasing marginal revenue is a sign that the company is producing too little relative to consumer demand, and that there are profit opport♌unit🅘ies if production expands.

For any given amount of consumer demand, marginal revenue tends to decrease as production increases. In 澳洲幸运5开奖号码历史查询:equilibrium, marginal revenue equals marginal costs; there is no 澳洲幸运5开奖号码历史查询:economic profit in equilibrium. Markets never reach equilibrium in the real world; they only tend toward a dynamically changing equilibrium. As in the example above, marginal revenue may increase because consumer demands have shifted and bid up the price of a good or service.

Example of Marginal Cost and Revenue

For instance, a toy company can sell 15 toys at $10 each. However, if the company sells 16 units, the selling price falls to $9.50 each. The margღinal revenue is $2, or ((16 x 9.50) - (15 x10)) ÷ (16-15). Suppose the marginal cost is $2.00; the company maximizes its profit at this point because the marginal revenue is equal𓆉 to its marginal cost.

When marginal revenue is less than the marginal cost of production, a company is producing too much and should decrease its 澳洲幸运5开奖号码历史查询:quantity supplied until marginal revenue 🐠equals the marginal cost of production. When🌼, on the other hand, the marginal revenue is greater than the marginal cost, the company is not producing enough goods and should increase its output until profit is maximized.

Marginal Revenue vs. Marginal Benefit

Although they sound similar, marginal revenue is not the same as a 澳洲幸运5开奖号码历史查询:marginal benefit. In fact,♎ it's the flip si🐲de. While marginal revenue measures the additional revenue a company earns by selling one additional unit of its good or service, marginal benefit measures the consumer's benefit of consuming an additional unit of a good or service.

Marginal benefit represents the incremental increase in the benefit🦹 to a consum🌜er brought on by consuming one additional unit of a good or service. It normally declines as more of a good or service is consumed.

For example, consider a consumer who wants to buy a new dining room table. They go to a local furniture store and purchase a table for $100. Since they only have one dining room, they wouldn't need or want to purchase a second table for $100. They might, however, be enticed to purchase a second table for $50, since there is an incredible value at that price. Therefore, the marginal benefit to the consumer decreases from $100 to $50 with the additional unit of the dining room table.

Tying the two together, let's go back to our widget-maker example. Let's say a customer is contemplating buying 10 widgets. If the marginal benefit of purchasing the 11th widget is $3, and the widget company is willing to sell the 11th widget to maximize its consumer benefit, the marginal revenue to the company would be $3 and the marginal benefit to the consumer would be $3.

Marginal Analysis

All these calculations are part of a technique called 澳洲幸运5开奖号码历史查询:marginal analysis, which breaks down inputs into measurable units. First developed by economists in the 1870s, it gradually became part of business management, especially in the 澳洲幸运5开奖号码历史查询:applicat🏅ion of the cost-benefit method—the identification of when marginal revenue is greater than marginal cost, as we've been explaining above.

According to the 澳洲幸运5开奖号码历史查询:cost-benefit analysis, a company should continue to increase production until marginal revenue is equal to marginal cost. If the optimal output is where the marginal benefit is equal to the marginal cost, any other cost is irrelevant. So marginal analysis also tells managers what not to consider when making decisions about future resource allocation: They should ignore average costs, fixed costs, and 澳洲幸运5开奖号码历史查询:sunk costs.

For example, a toy manu🎐facturer could try to measure and compare the costs of producing one extra toy with the projected revenue from its sale. Suppose that, on average, it costs the company 𒐪$10 to make a toy. The average sales price over the same period is $15.

This doesn't necessarily mean that more toys should be manufactured, however. If 1,000 toys were previously manufactured, then the company should only consider the cost and benefit of the 1,001st toy. If it will cost $12.50 to make the 1,001st toy but will only sell for $1ꩵ2.49, the company should stop production at⛎ 1,000.

What Does It Mean If Marginal Cost Is High?

If the marginal cost is high, it signifies that, in comparison to the typical cost of production, it is comparatively expensive to produce or deliver one extra unit of a good or service. 

What Is Marginal Cost and Average Cost?

M🍒arginal cost is the expense to make any given one incremental unit. On the other hand, average cost is the total cost of all units divided by the number of units manufactured. Be mindful that marginal cost does not always equal average cost.

What Is an Example of Marginal Cost?

Consider a company that manufactures wood furniture.🍌 The cost to make one rocking chair may cost $75, the cost of make two rocking chairs may cost $140 total, and the cost to make three rock chairs may cost $200 total. The marginal cost of the first chair is $75, the second chair is $65, and the third chair is $60.

What Is the Difference Between Total Cost and Marginal Cost?

Total cost is the aggregate expense ofꦚ all units manufact꧂ured. Marginal cost is only the incremental cost of any one given unit. Therefore, the accumulation of marginal costs equals the total cost of any batch of manufactured goods.

The Bottom Line

Manufacturing companies monitor marginal production costs and marginal revenues to determine ideal production levels. The marginal cost of production is calculated whenever productivity levels change. This allows businesses to determine a 澳洲幸运5开奖号码历史查询:profit margin and make pla♛ns for becoming more competitive to improve profitability.

The best 澳洲幸运5开奖号码历史查询:entrepreneurs and business leaders understand, anticipate, and react quickly to changes in marginal revenues and costs. This is an important component in 澳洲幸运5开奖号码历史查询:corporate governance and revenue cycle management.

Article Sources
Investopedia requires writers to use primary sources to support their work. These include white papers, government data, original reporting, and interviews with industry experts. We also reference original research from other reputable publishers where appropriate. You can learn more about the standards we follow in producing accurate, unbiased content in our editorial policy.
  1. Hall, Robert E. "The relation between price and marginal cost in US industry." Journal of political Economy, vol. 96, no. 5, 1988, pp. 921-947.

  2. Coase, Ronald H. "The marginal cost controversy." Economica, vol. 13, no. 51, 1946, pp. 169-182.

  3. Ekelund Jr, Robert B., and Robert F. Hébert. "Retrospectives: The origins of neoclassical microeconomics." Journal of economic perspectives, vol. 16, no. 3, 2002, pp. 197-215.

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