The marginal cost is the change in the total cost that arises when the quantity produced is incremented, the cost of producing additional quantity.
a). First construct total variable cost for each level Q -- simply multiply Q by AVC. So
Q TVC
1 1
2 4
3 9
4 16
5 25
6 36
Now calculate marginal cost as the change in TVC for each level Q.
Q MC
1 1
2 3
3 5
4 7
5 9
6 11
b) with price = 10, firm will produce 5 but not 6 units.
c) calculate total profits at Q=5. Total revenue is $50, total costs is $25+$16 = $41. Since there are profits to be made, more firms will enter, shifting the supply curve out, Price will fall, quantity goes up. Each firm will supply the same or less as price falls.
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