In: Economics
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 = $ _______
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