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Hello, in this video, we're going to look at a perfectly competitive firm, and we know that we know the total revenue cost of this firm and their corresponding quantity.
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And we also know that the fixed cost of this firm is $6.
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And we know that the price, which is also the marginal revenue that this firm could make on this market would be $5.
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And we want to know what is the profit maximizing or loss minimizing quantity that the firm should produce.
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And there are two approaches to solve this kind of problem.
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The first approach is to first figure out the marginal cost given the diagram, given this table for this company.
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And we look for the point where marginal cost is actually small or equal to the price or marginal revenue.
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Price or marginal revenue.
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And we will keep producing until the marginal cost become greater than the price.
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And this is our first approach.
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So let's start from there.
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So given the total variable cost, we could figure out the marginal cost.
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So from zero unit to one unit, the variable cost occur is $6.
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So the marginal cost will be $6.
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From one unit to two units, total variable costs become $11.
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And the difference between first unit and the second unit and the first unit is $5.
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So the marginal cost is five.
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So to save space, i'm going to just keep the five here.
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From two units to three units, the additional cost is 15.
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Minus 11, which is $4.
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From three units to four units, additional cost is $18 minus $15, which is $3.
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And from four units to five units, the additional cost is $22 minus $18, which is $4.
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From $5 to $6, costs increase by, again, $6.
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So we can see that at the very beginning, marginal cost is greater than the marginal revenue.
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Which is $5.
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But if we increase our production to two units, we see that marginal cost equals to marginal to the price, which is marginal revenue.
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And if we keep increasing our production from 2 to 3, the marginal cost is lower than the price.
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So we are actually making some marginal profits if we increase our production from 2 units to 3 units.
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And if we keep going, the marginal cost is even.
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Lower.
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So we are actually making additional more additional profits by increasing production from three to four, right? and if we keep producing four units to five units, we see that the marginal cost is $4 and is lower than the marginal price again.
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So we are making additional profits if we increase our production.
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However, if we increase from five to six, we know the marginal cost is greater than the marginal revenue here.
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So making this additional production, our total revenue will actually increase because this additional units we produce will generate loss.
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So for this firm, you should keep producing until they reach five units and stop producing at this point, right? because producing additional unit here will generate loss.
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So our answer is the firm should actually produce five units.
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And we have an additional question that we need to answer, which is whether or not at these five units the firm is making profits or generating loss.
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To answer this question, which it might be easier if we look at our second approach to solve this question.
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Our second approach is using the total revenue and total cost function.
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So we want to know, we know that the profits that the firm produce or generate is the difference between the total revenue and the total cost, right? so we could, given the cost of this firm, we know it's total revenue, total variable cost and total fees costs.
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We could calculate the total cost for this firm at different units...