# Mathematical relationship between mc and ac

### Relationship between AC and AVC and between AC and MC

The relationship between MC and AC can be stated as under: marginal cost ( MC) can be explained by observing mathematical relationship between them. Mathematical Approach. (). LKFQts. rK. wL . Relationship Between Marginal MC. Q. Costs. Spring Econ Lecture Proof. • AC=TC/Q. • To find. Understanding the Relationship between Marginal Cost and Average Variable Cost. Review: Marginal cost (MC) is the cost of producing an extra unit of output.

Let's calculate the average fixed cost, so we don't want to divide by zero.

Remember, the average cost, the average fixed and the average variable and the average total cost, these are each of those costs divided by the total amount of juice that I'm producing. You can kind of view them as the cost per gallon. So that we're thinking of the average fixed cost per gallon, so what we're going to do, so I'm writing equal to let Excel know that I'm doing a formula now, this is going to be equal to my fixed cost divided by, so divided by, divided by my gallons, and you can see that's G8 divided by F8, and actually, I guess you can't see my Gs and Fs, but this is the 8th row.

If I want my average variable costs, that's going to be my variable costs divided by, divided by my total number of gallons, so that's 50 cents, so that's the first 1, gallons to produce the orange juice, the orange juice for That includes the transportation cost.

Then the total is just the sum of these two things.

Or, we could have done it another way. We could have taken this right We could have said that this is just equal to, this is just equal to our total cost, our total cost divided by the total number of gallons.

Either way, you'll get the same thing, and maybe I'll do a video mathematically on why that is, or maybe you should explore that yourself. Now, the marginal cost. This is equal to our change in cost, our change in total cost divided by our change in gallons of juice.

### Important Relationship between Various Types of Costs | Micro Economics

Our change in total costs is going to be 1, minus 1, That's our change in total cost divided by our change in gallons, divided by 1, minus 0, our change in gallons, and that give us 50 cents. Now, this is the fun thing about spreadsheets, one of the many fun things of spreadsheets, is now I can select all of these and fill in all of the things below it.

They will use the same relative calculations. I'm going to fill without formatting.

### Marginal revenue and marginal cost (video) | Khan Academy

Now, what was neat here, and I already set up this chart ahead of time, is to plot these things right over here, and so we see what's going on. This is a plot that we looked at in the last video, when we thought about software developers.

This was our fixed cost, our variable costs go up as we produce more and more. What we've done here is we've plotted all of this stuff. The average fixed costs, or actually the marginal costs, the average variable costs and the average total costs. I haven't plotted the average fixed cost here, but it's really just the difference between the total and the variable costs. Now, let's think about what's happening. First, let's look at the average, the marginal.

Actually, let's look at the marginal costs first, because this is interesting, and this kind of goes in with this narrative of at first, those first oranges that we bought were expensive. We weren't a major producer, but incrementally, incrementally, as we produce those next oranges, so as we go from 1, oranges, as we go from the oranges needed for 1, gallons to the oranges needed for 2, gallons, all of a sudden, our marginal cost went down.

We're now a bigger buyer. Average costs represent the quotient of the ordinate and abscissa of a point on the total cost curve. Also it is named as cost of velocity of production, where it measures the cost per unit, taking in consideration fixed cost and variable costs, divided on total production.

## Marginal cost and average total cost

The average cost can be explained in two components: The average cost start declining as result of average fixed cost falls with velocity of production. However, it will rise, as impact of fixed factors constrains production, limiting the benefits of increase production and impact in total cost per unit.

To move from a lower average cost, firm requires increase the fixed factors of production to move to a new lower point, developing scale economics.

As result of behavior of fixed and variable cost, average cost shape is U form.

## Explain why the marginal cost curve intersects the average cost curve at its minimum point?

The usage of average cost is useful to know about total costs incurred by firm based on units of productions. Every velocity of production has a cost covering price and depending the amount of production with lowest cost covering prices is where enterprise can sell without generating losses. However, if firm is looking return investment, the respective price must be equal to average cost to recover fixed cost and variable costs.

Difference between Marginal cost and average cost Decision to optimization Marginal cost Maximization of profit can be obtained using marginal cost, where firm is selling with a price above its current cost and taking benefits, and its break-even is achieved when price is equal to marginal cost.

Average cost For production decision purposes, the firm can choose to minimize its costs when average cost is the lowest as result of certain amount of production, implying the point where the company is more efficient producing with the lowest cost per unit.

Calculation method Marginal cost Marginal cost is expressed as a partial derivative of change of total costs with respect to a variation in a production unit, as shown as follows: Average cost Average cost is calculated as sum of fixed and variable costs, divided on total production, as show as follows: Returns to scale and costs Marginal cost When velocity of production start to increase and there is increasing returns, Marginal cost is start to decrease, then change to constant returns in production and marginal cost and finally change to increasing marginal cost when production scale show decreasing returns.

Average cost When velocity of production start to increase without presence of returns of scale, average cost start to diminish, then change to constant returns when velocity of production generates the minimum efficient scale and then change to increasing returns when average cost is greater than marginal cost. Discrimination of costs Marginal cost The marginal cost includes all costs incurred to produce one additional unit of product of firm and cannot be discriminated in fixed or variable costs.

Average Cost The average costs can be separated in average variable cost, where include costs related to velocity of production and average fixed cost where, only includes costs not related to level of production. Shape of curves Marginal Cost The marginal cost curve is concave with increasing returns, then change to linear and smooth shape in constant returns and finally change to convex when marginal cost show increasing returns.