# Chapter 9: Applications of Cost Theory

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- University of Wisconsin - Milwaukee
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- Business Administration 320
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- Chapter 9: Applications of Cost Theory

**Created:**2010-12-17

**Last Modified:**2011-07-05

#### Related Textbooks:

Managerial Economics, Study Guide#### Related Textbooks:

Managerial Economics: Applications, Strategies, and Tactics#### Related Textbooks:

Managerial Economics: Applications, Strategy and Tactics (with InfoApps 2-Semester Printed Access Card)- Can be represented by a cubic relationship
- Both capital (K) and labor (L) are fixed

- A quadratic curve of a cross section of ACs for various firms is used
- Capital (K) is not fixed, labor (L) is fixed

- Coefficients are the elasticities
- "b" is the output elasticity of TC
- "b" can never be negative

- If
**b = 1**, then constant returns to scale LR cost function - If
**b < 1**, then increasing returns to scale LR cost function - If
**b > 1**, then decreasing returns to scale LR cost function

H_{0}: b = 1

H_{a}: b not equal to 1

t= coefficient/standard error

If critical t < estimated t: reject the null hypothesis

If critical t > estimated t: do not reject the null hypothesis

- horizontal line

- 45 degree angle

- U-shaped
- AC is often quadratic
- MC is often quadratic

- S-shaped
- TC is often cubic

- quadratic curve

- quadratic curve

- Bank offers economies of scope by having people who can help customer with checking, savings, credit cards, etc.

- An alternative to regression analysis
- Evaluates cost using knowledge about the efficiency of machinery
- Size and volume are mathematically related (engineering relationships)

- Darwinian survival test for firm size

- TR=P(Q)
- TC=F+V(Q)

Q_{BE} = F/(P-V)

- How much Q to produce so that TR = TC

- How much each unit sold contributes to the fixed cost

R_{BE} = Q_{BE}(P)

Or R_{BE} = F/(1-V/P)*P

- Amount of sales revenue that breaks even

- Exists in the calculation of Break-even Sales Volume

Q_{target∏}_{ }= (F+∏)/(P-V)

- Quantity needed to attain target profit (∏)

- Look at incremental contributions and incremental additions to cost

- Added contribution > added cost
- CM(ΔQ) > Δdirect FC

- Costs may be semi-variable (increases in cost at different increments)
- Many times firms sell multiple products, or small, medium, and large varieties (allocation of costs)
- There is uncertainty as to the price, VC, and FC in the problem
- The planning horizon may be longer than a year

**D**egree of

**O**perating

**L**everage or Operating Profit Elasticity

- operating profit ∏ = TR - TC
- a measure of the importance of fixed cost or business risk to fluctuations in output

- z is the number of standard deviations away from the mean.

_{BE}– Q)/standard deviation

- 68% of time within 1SD
- 95% of time within 2SD
- 99% of time within 3SD

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