Question

In: Economics

Suppose the fixed costs at a widget factory are $500.00 and variable costs per widget are...

Suppose the fixed costs at a widget factory are $500.00 and variable costs per widget are as indicated. Compute the total average costs for each of the following: 1. Producing 10 widgets when the variable cost is $10 per widget Total Cost = $ _________ Average Cost = $ _________ 2. Producing 20 widgets when the variable cost is $15 per widget Total Cost = $ _________ Average Cost = $ _________ 3. Producing 100 widgets when the variable cost is $20 per widget Total Cost = $ _________ Average Cost = $ _________ b. Suppose that widgets sell for a price of $50. Compute total revenue (TR) and profit (P) for each of the above cases. 1. TR = $ _______ P = $ _______ 2. TR = $ _______ P = $ _______ 3. TR = $ _______ P = $ _______

Solutions

Expert Solution

The Fixed cost of production, FC = $500.00

Variable cost, VC is different for each cases.

Ans 1.

No. of widgets produced, Q = 10

Variable cost, VC = $10 per widget

Total Variable Cost, TVC = Q * VC = $10*10 = $100

Total Cost, TC = FC + TVC = $500 + $100 = $600

Average Cost, AVC = TC/ Q = $600/10 = $60

Ans 2.

No. of widgets produced, Q = 20

Variable cost, VC = $15 per widget

Total Variable Cost, TVC = Q * VC = $20*15 = $300

Total Cost, TC = FC + TVC = $500 + $300 = $800

Average Cost, AVC = TC/ Q = $800/20 = $40

Ans 3.

No. of widgets produced, Q = 100

Variable cost, VC = $20 per widget

Total Variable Cost, TVC = Q * VC = $100*20 = $2000

Total Cost, TC = FC + TVC = $500 + $2000 = $2500

Average Cost, AVC = TC/ Q = $2500/100 = $25

b. Widget sell for a price of $50

Total Revenue,TR = Price * Quantity

Profit, P = TR - TC

case 1.

No. of widgets produced, Q = 10

Price = $50

TR = $50*10 = $500

TC = $600

Profit, P = $500 - $600 = -$100

Hence, the company makes a loss of $100

Case 2.

No. of widgets produced, Q = 20

Price = $50

TR = $50*20 = $1000

TC = $800

Profit, P = $1000 - $800 = $200

Case 3.

No. of widgets produced, Q = 100

Price = $50

TR = $50*100 = $5000

TC = $2500

Profit, P = $5000 - $2500 = $2500


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