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Nimbus Pty Ltd makes brooms and sell them door-to-door.The relationship between the number of workers employed by Nimbus andthe number of brooms produced is provided in Table 2 below. Nimbus hasÖxed costs of $200 per day from renting its factory a day in advance. Theprice per worker per day is $100.(a) (8 marks) Fill in the blank columns in following table.Workers Output Marg.Prod.FixedCostVariableCostTotalCostAFC AVC ATC MarginalCost =(TC=y)0 0 ñ 200 0 ñ ñ ñ ñ1 20 200 1002 50 200 2003 90 200 3004 120 200 4005 140 200 5006 150 200 6007 155 200 700(b) (4 marks) Discuss the relationship between the short-run marginalcost and the marginal product of labor.(c) (4 marks) Discuss the relationship between short-run average totalcost and short-run marginal cost.1(d) (4 marks) Discuss the relationship between short-run average variablecost and short-run marginal cost.(e) (1 mark) Discuss the relationship between short-run total variablecost, short-run total Öxed cost, and short-run total cost.(f ) (4 marks)Discuss the relationship between short-run average variablecost, short-run average Öxed cost, and short-run average total cost.

Question

Nimbus Pty Ltd makes brooms and sell them door-to-door.The relationship between the number of workers employed by Nimbus andthe number of brooms produced is provided in Table 2 below. Nimbus hasÖxed costs of 200perdayfromrentingitsfactoryadayinadvance.Thepriceperworkerperdayis200 per day from renting its factory a day in advance. Theprice per worker per day is 100.(a) (8 marks) Fill in the blank columns in following table.Workers Output Marg.Prod.FixedCostVariableCostTotalCostAFC AVC ATC MarginalCost =(TC=y)0 0 ñ 200 0 ñ ñ ñ ñ1 20 200 1002 50 200 2003 90 200 3004 120 200 4005 140 200 5006 150 200 6007 155 200 700(b) (4 marks) Discuss the relationship between the short-run marginalcost and the marginal product of labor.(c) (4 marks) Discuss the relationship between short-run average totalcost and short-run marginal cost.1(d) (4 marks) Discuss the relationship between short-run average variablecost and short-run marginal cost.(e) (1 mark) Discuss the relationship between short-run total variablecost, short-run total Öxed cost, and short-run total cost.(f ) (4 marks)Discuss the relationship between short-run average variablecost, short-run average Öxed cost, and short-run average total cost.

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Solution

(a) The table filled in would look like this:

Workers Output Marg. Prod. Fixed Cost Variable Cost Total Cost AFC AVC ATC Marginal Cost
0 0 - 200 0 200 - - - -
1 20 20 200 100 300 10 5 15 5
2 50 30 200 200 400 4 4 8 3.33
3 90 40 200 300 500 2.22 3.33 5.55 2.5
4 120 30 200 400 600 1.67 3.33 5 3.33
5 140 20 200 500 700 1.43 3.57 5 5
6 150 10 200 600 800 1.33 4 5.33 10
7 155 5 200 700 900 1.29 4.52 5.81 20

(b) The relationship between the short-run marginal cost and the marginal product of labor is inverse. As the marginal product of labor increases, the marginal cost decreases and vice versa.

(c) The relationship between short-run average total cost and short-run marginal cost is that when marginal cost is below average total cost, it pulls the average total cost down. When marginal cost is above average total cost, it pulls the average total cost up.

(d) The relationship between short-run average variable cost and short-run marginal cost is similar to that of average total cost and marginal cost. When marginal cost is below average variable cost, it pulls the average variable cost down. When marginal cost is above average variable cost, it pulls the average variable cost up.

(e) The relationship between short-run total variable cost, short-run total fixed cost, and short-run total cost is that total cost is the sum of total variable cost and total fixed cost.

(f) The relationship between short-run average variable cost, short-run average fixed cost, and short-run average total cost is that average total cost is the sum of average variable cost and average fixed cost.

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