Profit and Cost: When CPAs and Economists Collide

• Profit is different for an economist and an accountant

• For an accountant, profit is total revenue – total cost

• For an economist, would take into account the explicit and the implicit cost that was incurred as well

• Implicit costs are the indirect, non-purchased opportunity cost that is incurred (also known as economic costs)

• A good example would be when an entrepreneur opts for spending his savings, he is forgoing the interest he would have received if he were to deposit it into the bank

• Explicit costs are the tangible business cost that arise such as the cash paid to suppliers, utility bills cost, etc.

Short-run and long-run decisions

• Short run is referred to when at least one production input is fixed and cannot be changed due to a change in demand

• A factory operating would be unable to increase the number of machinery in a short time if the demand increases suddenly

• The long run is the opposite, where are production inputs are variable

• The same factory would be able to increase its machinery to meet the demand after a period of a year for example after it would have generated sufficient profit to do so

Short-run production functions

• A production function is the mechanism for combining production resources with existing technology into finished goods and services

Fixed and variable inputs

• Fixed inputs are those which can’t be altered in the short run for a business

• Variable inputs are those which are easily alterable in the running of the business for the short run

• If we consider the figure above, including only labor and capital, we could say that labor is a variable input while capital would be a fixed input

Short-run production measures

1. Total product of labor (TPL): this is the total quantity of output that is produced with each specific quantity of labor employed

2. Marginal product of labor (MPL): this is the change in the total output if the quantity of labor is changed

   1. Change in production output / Change in input labor

   2. If labor is changing with one unit at a time, MPL = DTPL

3. Average product of labor (APL): this is used to measure the average labor productivity

   1. TPL/L (total product produced by labor/ total labor)

Law of diminishing marginal returns

• As the labor force is increased, the total product increases, reaches a peak, and then begins to decline

• This is because the fixed resource has reached its limit and eventually the marginal product begins to decline- this is the law of diminishing marginal utility

• Take an example of a pizza shop that has 2 chefs make pizzas

• As the shop adds more employees, specialization occurs at a particular stage but afterward, there would be too many people and too little responsibility

• The kitchen would become overcrowded and hence would case wastage

● MPL > APL: APL is rising ● MPL < APL: APL is falling ● MPL = APL: APL is at peak

Short-run costs

• In the short run, at least one input is fixed

• Hence due to this, fixed costs are incurred on it, while the other inputs which are variable incur their respective variable cost

1. Total fixed costs (TFC): those costs that are incurred and have to be paid regardless of whether the company earns a profit or not

   1. These costs are incurred regardless of whether the company produces something or not. E.g. rent expense

2. Total variable costs (TVC): the cost which directly varies with the level of output

   1. If the company doesn’t produce anything, the total variable cost is 0. The best example of this is utility bills

3. Total cost (TC): the sum of total fixed cost and total variable cost.

   1. If level of output is 0, total cost is equals to fixed cost

   2. Total cost = Total fixed cost + total variable cost

Other costs

1. Marginal cost:

• The additional cost of producing one more unit of output

• Change in total cost / change in quantity

• Another formula is DTVC/DQ which is change in total variable cost/change in quantity

2. Average fixed cost (AFC):

• AFC = TFC/Q

• It’s the total fixed cost divided by output

3. Average variable cost (AVC):

• It’s the total variable cost divided by output

• AVC = TVC/Q

4. Average total cost (ATC):

• It’s the total cost divided by the output

• ATC = TC/Q

• ATC = AFC + AVC

• Marginal cost initially falls due to specialization but soon begins to rise as more output is produced

• This is the law of increasing costs and is a direct result of the law of diminishing marginal returns to production

• Marginal cost = average total cost at the minimum of ATC

• Marginal cost = average variable cost at the minimum of AVC

Marginal product and marginal cost

• As MPL is falling (diminishing marginal returns), MC is rising.

• As MPL is rising (increasing marginal returns), MC is falling.

• When MPL is highest, MC is lowest.

Average product and average variable cost

• As APL is falling, AVC is rising.

• As APL is rising, AVC is falling

• When APL is highest, AVC is lowest

Long-run average cost

• Suppose a business currently operates at SRAC1 (small scale) in the first year

• In the Second year, the business now expands, and achieves SRAC2 (medium scale) but only if it manages to produce more than 100 units otherwise it wouldn’t be recommended

• In the Third year, the business expands further, achieving SRAC3 (large scale)but only after selling more than 250 units

• Finally in the fourth year, the business expands to grand scale, achieving SRAC4 but only after it manages to produce more than 400 units

Economies of scale

• These are advantages of increased plant size and are seen on the downward part of the LRAC curve

Reasons for this

1. Labor and managerial specialization

2. Ability to purchase and use more efficient capital goods

3. Achieving minimum efficient scale which is the lowest point on the long-run average cost curve

   1. Constant returns to scale occur when LRAC is constant over a variety of plant sizes

   2. Diseconomies of scale are the rising part of the LRAC curve and can occur if a firm becomes too large

When firms grow in size they bring along certain diseconomies in the form of

1. Distant management

2. Worker alienation

3. Problems with communication and coordination

Another bridge between production and cost

1. If the firm doubles both labor and capital in the long run, and the output more than doubles (increases from one to four units), this is increasing returns to scale

   1. During this time, the average total cost falls

2. If firms double their inputs again, and output exactly doubles, the firm has constant returns to scale in production

   1. Average total cost stays the same

3. If firms double their inputs one last time, and output increases by less than double (not a desired outcome), we say that the firm has decreasing returns to scale in production

   1. Average total cost increases