Tuesday, November 3, 2015

Output & Costs (Costs)

Output & Costs
This section has quite a few moving parts and therefore is best studied in sections. Lets start with costs.

Costs exist because resources are scarce and have alternative uses.
(This makes sense in that owners of resources are competing with other owners to sell their goods (labor) to the highest bidder) Employers and producers are competing with each other to buy the cheaper goods or hire labor at a lower price. Often the fallacious idea is that employers and employees are in competion with one another. This is false, employers are in competition with other employers and employees are in competition with other employees. The employee who pays more wins, (how does this translate to competition between employer and employee?) Don't think me daft, I do understand that employees would like to be paid more and employers would like to pay less but I would like to pay less for the potatoes at the grocery store and yet I don't feel I'm in competition with the grocer.

OK, so Economic Costs are the payments (for goods) or incomes it must offer (for people), to attract the resources from alternative production opportunities. 
(Simple yes, to get someone to work for you you must be willing to pay them and they must accept)

We can separate (for the AP) two broad categories of costs.

Explicit Costs - (Accounting costs) – Money actually paid for inputs for production. (Wages, electricity, input costs, transportation, etc) 

Implicit Costs – Think, opportunity cost – money that could have been earned by the entrepreneur with the next best alternative. Economists always take into account the implicit costs in evaluating choices.

Total Costs - Fixed Costs - Variable Costs

Total Fixed Costs – Costs that don’t vary with output. (Ex. Rent, interest on loans, insurance premiums) These costs must be paid even if output is zero. Even if the firm goes out of business these costs must be paid.

Total Variable Costs – Costs that change with the level of output. (Ex. Labor, materials, electricity, transportation) (For the AP when you see variable costs, think labor)
                                                     
Total Costs – The sum of variable and fixed costs. (TC = FC + VC) or (TC = ATC x quantity of output)

Marginal Costs – The additional cost of producing one more unit of output. 

Understand: the vertical distance between the TC & TVC curve is TFC.
Understand: the mathematical relationship between the cost curves.
TC = TVC + TFC     (5 = 3 + 2)
TVC = TC – TFC      (3 = 5 - 2)
TFC = TC – TVC         (2 = 5 - 3)

Be able to draw the Total Cost Graph - Understand: the vertical distance between the TC & TVC curve is TFC. (Obviously, if TC is TFC + TVC), then everything under the TVC is Total Variable Costs, while the difference between TVC and TC must be TFC

Think of the combination of the costs like this graph.
The area under the TVC curve is variable costs. (Labor, almost always the biggest part of a business)
and then the difference between TC and TVC is fixed costs.

Short-Run (Fixed & Variable Costs)Time Period



Short-Run – A time period in which a producer (a firm) is able to change the quantities of some, but not all of the inputs, factors of production or resources they employ.
(Resources that can be adjusted are labor, and purchase of raw materials)
(The short-run has some resources that are fixed, (Factory/Plant))
(Firms cannot enter or exit the industry in the short-run)

Long –Run (All Costs are Variable (Changeable))

Long Run – a time period in which producers can change all of the resources they employ.
(In the long-run firms can enter and exit the industry)
(In the long-run there is no fixed costs as all costs are changeable, thus variable)

Short-run Production Analysis (AFC, ATC, AVC)

Average Total Costs – A firms total costs divided by output. (TC/Q) or (AFC + AVC = ATC)
Understand: As production increases, initially there is a decrease in ATC at small levels of   production. As production increases with larger quantities of production ATC increases to produce a U shaped curve.


Average Variable Costs – A firms total variable costs divided by output. (TVC/Q) or (ATC – AFC = AVC)
Understand: As production increases, initially there is a decrease in AVC at small levels of   production. As production increases with larger quantities of production AVC increases to produce a U shaped curve.

Average Fixed Costs – A firms total fixed costs divided by output. (TFC/Q) or (ATC – AVC = AFC)
                                      Understand:  average fixed costs decease as production increases.
Total Fixed costs are (fixed) and therefore don’t change when production increases but average fixed costs decrease                 
Fixed costs per unit (average fixed costs) will change as the production/output changes.

U shaped Cost Curves (WHY?)


Diminishing Returns & the U Shape of the Curves – The Law of Diminishing Returns states that as additional inputs are added to fixed capital, returns will eventually decrease.

Initially the cost curves are decreasing as more input is added reflecting efficiency, but as more inputs are added costs increase as inputs become increasingly inefficient. Thus the rising cost curves with more output.

(Ex. If you have a coffee cart out in front of the school and it is only big enough for two people. Hiring one person will lower your average costs as you can actually produce a good that will be sold. Hiring two people will allow a division of labor that will increase your output. Hiring a third person will slow down the production process as the coffee cart (fixed capital) isn’t big enough for three people to operate effectively in the short run.)

Relationship between Marginal Costs and Average Total Costs
                                   
·       Marginal Cost curve cuts the ATC & AVC curves at their minimum
·       When the MC curve is less than the ATC/AVC, ATC & AVC curves are decreasing
·       When the MC curve is greater than the ATC/AVC curves, the ATC/AVC are increasing
·       Marginal Cost curve eventually rise with increased output
·       The ATC/AVC curves are U shaped due to the Law of Diminishing Returns


1995 AP Micro Exam











#6 Answer - C
The question asks for average total costs,
so, AFC + AVC = ATC
       50   +    45  = 95


#7 Answer - D
Profit Max  (MR = MC)
at output/quantity 5 the MC's are 80.00
if you produced 1 more unit, at a quantity of 6 you would be incurring a higher cost than the revenue brought in for that unit.



#8 Answer - A
An increase in wages (a variable cost) will shift the cost curves up. Understand that a shift implies at every level of output. A decrease in the price of energy would shift the curve down.

Saturday, October 3, 2015

YED - Income Elasticity

YED - Income Elasticity

YED - is the responsiveness of the Qd, of a good, to the change in the incomes, (Y) of people demanding the good. Income, (Y) elasticity determines whether the good is normal or inferior.

Formula 

Formula for computation


Graph for Reference.
  • If YED is negative the good is an inferior good.
  • If YED is positive the good is a normal good.
  • If YED is positive but below one, the good is income inelastic (necessity)
  • If YED is positive but above one, the good is income elastic (luxury)
  • If YED = 0, a % change in income does not effect the Qd of the good
  • If YED = 1, a % change in income = a % change in Qd of the good (Unitary Elasticity)
Another graph for reference is the Engel's curve.
As income increase the Qd for a normal good is positively related, Qd increase.
AS income increases the Qd for an inferior good is negatively related, Qd decrease

Examples

Answer - (B) An increase in the average income f consumers and an increase in the price of a variable input.

So, YED of a normal good (positive and increasing with incomes) drives up price as demand increases (shifts right) and as an input cost/resource cost increases (Determinant of Supply) supply shifts leftward increasing the price of the good more.

Example 2)


Answer is (D) X is an inferior good and is a compliment to Y.

as the cross-price elasticity is negative, we understand that means the two goods are compliments
and as the YED (income elasticity of demand) is negative the good is an inferior good

Example 3)

(b) You must know that a negative coefficient is an inferior good and that as incomes rise less of the good is demanded. (leftward shift of the demand curve)








XED Cross Price Elasticity - Substitutes

XED Cross Price Elasticity - Substitutes

XED - responsiveness of the Qd of a good (Good A) to a change in the price of another good (Good B). Cross elasticity determines whether the goods are substitutes or complements.

Formula - 
Understand: That you will be given a price change of one good (Good A) and then will compare it with the quantity change of another good (Good B).


Understand: You should be able to recognise that a positive XED (more than zero) is a substitute.


Substitutes are like Coke and Pepsi, Beef and Chicken. Goods that are substituted for one another.

If the price of Coke increases then people will switch to the cheaper good (Pepsi)


Price of Coke Increases and the Quantity Demand for Pepsi Increases
Notice the positive relationship.

Opposite is also true, if the price of Coke decreases the Quantity demanded for Pepsi decreases

again the formula:


8 - 6/6     OR    .333 = 1.333
5 - 4/4                .25

SO, no absolute value for XED (like PED) and more than zero (positive) and therefore a substitute.

Weakly related or strongly related substitutes I haven't seen tested in the AP Exam but references were there in some questions.


To Know: Substitutes

1) XED - responsiveness of the Qd of a good (Good A) to a change in the price of another good (Good B). Cross elasticity determines whether the goods are substitutes or complements.

2) No absolute value for XED

3) XED > 0 -  Substitutes

4) Positive = Substitutes

5) Price of Good A increase the Quantity Demand of Good B increases or the price of good A decreases and the Quantity Demand of good B decreases


Examples -



Look at (b) (ii) one point is earned for explaining that peanuts and bananas are substitutes and since the price of bananas increased it would cause the demand for peanuts to increase.

Also look at (c) (i) One point is earned for stating that the substitution effect causes the quantity of bananas demanded to decrease.

The Substitution Effect - one of the three reasons the demand curve slopes down - as the price of one good rises, consumers will switch to the cheaper good.

XED (Cross Price Elasticity) Compliments

XED (Cross Price Elasticity)


XED - the responsiveness of the Qd of a good (Good A) to a change in the price of another good, (Good B). Cross price elasticity determines whether the goods are substitutes or complements.

Formula


Understand:  That you will be given a price change of one good (Good A) and then compare it with the quantity change of another good (Good B) and will use this formula for computations.


Understand: That it is more likely that you should be able to recognise that a negative XED (less than zero) is a compliment.


Complements are like bread and butter or hamburgers and fries or Korean fried chicken and beer. Two goods that are consumed/used together.

If the price of Korean Fried chicken increases then we would expect a less quantity demanded of Korean fried chicken. Less fried chicken mean less beer consumed as they are consumed together.

So, price of good A (Korean Fried Chicken) increases and therefore the amount of beer consumed decreases (good B) Price increases and Qd decreases.

again the formula
So, 6 - 8/8    or    -.25    which is -1
      5- 4/4             .25

So, no absolute value for XED (like PED) and less than 0 (negative) means that the two goods are compliments. 

(Obviously, the opposite holds true - If the price decreases (good A) then the Qd of good B will increase.)

Weakly related or strongly related compliments I haven't seen tested in the AP exam but the reference was there in a couple of questions.  




To know: Compliments

1) XED - (Cross price elasticity) - definition - the responsiveness of the Qd of a good (Good A) to a change in the price of another good, (Good B). Cross price elasticity determines whether the goods are substitutes or complements.

2) No absolute value for XED

3) XED < 0, then compliments 

4) Negative = Compliment 

5)  Price increases and Qd decreases or Price decreases and Qd increases.


Examples: I have only found one example.



Answer is (D) X is an inferior good and is a compliment to Y.

as the cross-price elasticity is negative, we understand that means the two goods are compliments









Thursday, October 1, 2015

Wages as input costs (objects) vs employees as rational entities

Wages for employment vs. wages as incentives.
Thanks, Charles



Obviously the answer is (B) an increase in wages in the automobile industry.


The supply curve being a clue that the wages are of employees, and employees are looked at in the same way as objects, inputs and therefore resources - resource costs or input costs have increased and the supply curve for automobiles shift left. 

                                                                                  

While this question compares the wage rates between civilians and the military. The Answer is (B) a decrease in the average wage rate in civilian employment. If the average wage rate in civilian and military is $40,000 a year and the civilian average falls to $20,000. We can expect more civilians to move toward the military with the relatively higher wages. It wasn't that the price(wage) increased for soldiers its that the civilian wages fell. 
The point is that in this instance the higher relative wage is an incentive to employment, so a higher relative wage attracts more people to the profession of soldiering.  


                                                                                                                                                                

If we are talking about someone supplying their own service as they are owners of their own labor.
As wage rates (price) increase entices more rational people toward employment and therefore quantity supply increases. Someone supplying their own labor is attracted to the higher wage rate.