Consider a firm operating in a competitive market in the short run. The table below shows the firm’s total cost of production at various output levels. At a market price of $10, how many units of output should the firm supply? Output (q) FC ($) VC ($)0 10 01 10 22 10 63 10 104 10 155 10 216 10 307 10 40
Question
Consider a firm operating in a competitive market in the short run. The table below shows the firm’s total cost of production at various output levels. At a market price of ) VC ($)0 10 01 10 22 10 63 10 104 10 155 10 216 10 307 10 40
Solution
The firm should continue to produce as long as the price is greater than or equal to the marginal cost. The marginal cost is the additional cost of producing one more unit of output. It can be calculated by finding the change in total cost (which is the sum of fixed cost and variable cost) when output increases by one unit.
Let's calculate the marginal cost for each additional unit of output:
- From 0 to 1 unit: (10+2) - (10+0) = 2
- From 1 to 2 units: (10+6) - (10+2) = 4
- From 2 to 3 units: (10+10) - (10+6) = 4
- From 3 to 4 units: (10+15) - (10+10) = 5
- From 4 to 5 units: (10+21) - (10+15) = 6
- From 5 to 6 units: (10+30) - (10+21) = 9
- From 6 to 7 units: (10+40) - (10+30) = 10
Given a market price of 10) is equal to the market price.
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