Question

Table (a) shows the cost data for Farmer Mill, a barley farmer. Round your answers to 2 decimal places. a) Complete table (a)

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Answer #1

a)

Quantity Total Cost ($) Total Variable Cost ($) Marginal Cost ($) Average Total Cost($) Average Variable Cost($)
0 8 0 - - -
1 14 6 6 14.00 6.00
2 18 10 4 9.00 5.00
3 24 16 6 8.00 5.33
4 32 24 8 8.00 6.00
5 42 34 10 8.40 6.80
6 54 46 12 9.00 7.67
7 68 60 14 9.71 8.57

b)

Break-even point is when Profit = 0

=> Total Revenue - Total Cost = 0

=> Price * Quantity - ATC * Quantity = 0

=> (Price - ATC) * Quantity = 0

=> Price = ATC at the profit-maximizing quantity

We know that the profit-maximizing condition is Price = Marginal Cost

Therefore, Breakeven price = Marginal Cost = ATC = $8 (obtained from the table)

If the firm is unable to recover its variable costs from the revenue, then the firm shuts down

Shut-down price = Minimum of AVC = $5 (obtained from the table)

c)

Price ($) Output Total Revenue ($) Total Cost ($) Profit/Loss
4 2 8 18 -10
7 3 21 24 -3
9 4 36 32 4
11 5 55 42 13
12 6 72 54 18

The output(profit-maximizing) in the above table is obtained as the highest quantity up to which the marginal cost remains less than or equal to the price.

d)

Price ($) Output Total Revenue ($) Total Cost ($) Profit/Loss Total Quantity Supplied 1
4 2 8 18 -10 240
7 3 21 24 -3 360
9 4 36 32 4 480
11 5 55 42 13 600
12 6 72 54 18 720

Total Quantity supplied 1 = Number of firms * Output from each firm = 120 * Output

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