# Evaluation of the Profit Maximization Assumption
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The usual response is that the model does not pretend to be descriptive (how the world works) but prescriptive (how firms should TRY to approach their production decisions if they want to make maximum profit) and that reality is simplified for pedagogical purposes |
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# Calculated Problem
Econometricians have estimated that Dynamic Quality Inc, a small independent publisher, whose books sell for $20 each, has the following cost functions:<br><br>TC = 0.5Q<sup>2</sup> + 10Q + 100<br><br>MC = Q + 10 <br><br>Based on this information, determine the fixed cost of Dynamic Quality Inc.
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# Calculated Problem
Econometricians have estimated that Dynamic Quality Inc, a small independent publisher, whose books sell for $20 each, has the following cost functions:<br><br>TC = 0.5Q<sup>2</sup> + 10Q + 100<br><br>MC = Q + 10 <br><br>Based on this information, determine the profit maximizing quantity for Dynamic Quality Inc.
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# Calculated Problem
Econometricians have estimated that Dynamic Quality Inc, a small independent publisher, whose books sell for $20 per piece, has the following cost functions:<br><br>TC = 0.5Q<sup>2</sup> + 10Q + 100<br><br>MC = Q + 10 <br><br>Based on this information, determine the maximum profit Dynamic Quality Inc can generate.
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# Calculated Problem
Econometricians have estimated that Dynamic Quality Inc, a small independent publisher, whose books sell for $20 per piece, has the following cost functions:<br><br>TC = 0.5Q<sup>2</sup> + 10Q + 100<br><br>MC = Q + 10 <br><br>Based on this information, determine the profit Dynamic Quality Inc will generate in the short run if it shuts down.
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# Calculated Problem
Econometricians have estimated that Dynamic Quality Inc, a small independent publisher, whose books sell for $20 per piece, has the following cost functions:<br><br>TC = 0.5Q<sup>2</sup> + 10Q + 100<br><br>MC = Q + 10 <br><br>Based on this information, determine the AVC of Dynamic Quality Inc at the loss-minimizing quantity.
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background-image: url(hny25.png)
---
class: clear, middle, no-scribble
.font200[
Graphical Model of Profit <br> Maximization
]
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# Profit Maximization Diagram
.panelset.sideways.right[
.panel[
.panel-name[D]
<img src="12h_files/figure-html/d-1.svg" style="display: block; margin: auto;" />
]
.panel[
.panel-name[ATC]
<img src="12h_files/figure-html/atc-1.svg" style="display: block; margin: auto;" />
]
.panel[
.panel-name[MC]
<img src="12h_files/figure-html/mcc-1.svg" style="display: block; margin: auto;" />
]
]
---
background-image: url(hny25.png)
---
class: clear, middle, no-scribble
.font200[
Profit/Loss Analysis
]
---
background-image: url(hny25.png)
---
# Analytical Rresentation of Profit
<table class="none">
<tr><td style="text-align: right">\( \Huge \pi \)</td> <td style="text-align: center">=</td> <td style="text-align: left">\( \Large TR - TC \)</td></tr>
<tr><td style="text-align: right"></td> <td style="text-align: center">=</td> <td style="text-align: left">\( \Large (\frac{TR}{Q}-\frac{TC}{Q})\times Q \)</td></tr>
<tr><td style="text-align: right"></td> <td style="text-align: center">=</td> <td style="text-align: left">\( \Large (AR - ATC)\times Q \)</td></tr>
<tr><td style="text-align: right"></td> <td style="text-align: center">=</td> <td style="text-align: left">\( \Large (P - ATC)\times Q \)</td></tr>
<tr><td style="text-align: right"></td> <td style="text-align: center">=</td> <td style="text-align: left">.font150[Profit per unit × Output]</td></tr>
</table>
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# Calculated Problem
.pull-left[

]
.pull-right[
Use the figure to the left to determine the firm's revenue per unit when 400 units are produced
]
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# Calculated Problem
.pull-left[

]
.pull-right[
Use the figure to the left to determine the firm's fixed cost per unit when 400 units are produced
]
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# Calculated Problem
.pull-left[

]
.pull-right[
Use the figure to the left to determine the firm's variable cost per unit when 400 units are produced
]
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# Calculated Problem
.pull-left[

]
.pull-right[
Use the figure to the left to determine the firm's cost per unit when 400 units are produced
]
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# Calculated Problem
.pull-left[

]
.pull-right[
Use the figure to the left to determine the firm's profit per unit when 400 units are produced
]
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# Calculated Problem
.pull-left[

]
.pull-right[
Use the figure to the left to determine the firm's total profit when 400 units are produced
]
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# Calculated Problem
.pull-left[

]
.pull-right[
Use the figure to the left to determine the firm's total revenue when 400 units are produced
]
---
# Calculated Problem
.pull-left[

]
.pull-right[
Use the figure to the left to determine the firm's fixed cost when 400 units are produced
]
---
# Calculated Problem
.pull-left[

]
.pull-right[
Use the figure to the left to determine the firm's variable cost when 400 units are produced
]
---
# Calculated Problem
.pull-left[

]
.pull-right[
Use the figure to the left to determine the firm's total cost when 400 units are produced
]
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# Graphical Presentation of Profit/Loss
.panelset.sideways.right[
.panel[
.panel-name[Profit]

]
.panel[
.panel-name[Loss]

]
]
---
background-image: url(hny25.png)
---
# The Shut-Down Decision
.panelset.sideways.right[
.panel[
.panel-name[Bad Market]

]
.panel[
.panel-name[MC = MR]

]
.panel[
.panel-name[P > AVC]

]
.panel[
.panel-name[TR > VC]

]
.panel[
.panel-name[Loss = FC]

]
.panel[
.panel-name[Loss < FC]

]
]
---
class: clear, middle, no-scribble
.font200[
Profit Maximization And The<br> Supply Curve
]
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class: double
# Supply Curve Derivation From Profit Maximization Assumption (MR=MC)
<img src="12h_files/figure-html/sc-1.svg" style="display: block; margin: auto;" />
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class: white
# Calculated Problem
.pull-left[
<br>
<br>

]
.pull-right[
In the figure to the left, panel (a) depicts the linear marginal cost of a firm in a competitive market and panel (b) depicts the linear market supply curve for a market with a fixed number of identical firms. When 1,000 identical firms participate in this market, at what price will 175,000 units be supplied to the market?
]
---
class: clear, middle, no-scribble
.font200[
Profit Dynamics in Competitive<br> Markets
]
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class: white
# Long-Run Equilibrium

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class: white
# Demand Increase (Short-Run Effect)

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class: white
# Demand Increase (Long-Run Effect)

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class: clear, middle, no-scribble
.font200[
Conclusions
]
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class: double
# Evaluation Of The Perfect Competition Model
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The model explains why the market supply in competitive markets should be positively related to the price |
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The model also shows how the freedom of entry and exit in competitive markets works to prevent the firms in those markets from earning economic (abnormal) profit in the long run |
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Both theoretical conclusions above are reasonably consistent with the empirical evidence about how the world works despite the somewhat unrealistic assumptions |
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For many 'real world' markets the model seems reasonably accurate approximation and the conclusions from it can be considered useful |
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# Key Takeaways
By now YOU should have learned that
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a business that operates in a competitive market is very unlikely to earn economic profit in the long run |
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this is due to the lack of barriers to entry which enable new firms to enter the market if there is abnormal profit to be made in the short run |
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another factor that erodes firm profitability is the large number of firms that sell identical products, resulting in perfectly elastic demand for the product of an individual producer |
In the coming lectures we will relax the assumptions of free entry and lack of differentiation to see how that would affect the profitability of firms in the short run and in the long run!
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# Questions?
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<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css">
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<i class="fa fa-question" style="font-size:240px; position: absolute; right: 250px; width: 300px;"></i>
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# Thank You!
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<br>
<i class="fa fa-smile-o" style="font-size:240px; position: absolute; right: 250px; width: 300px;"></i>