ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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Chapter 2, Problem 17P
To determine

(a)

The total revenue function of the firm.

Expert Solution
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Answer to Problem 17P

Total revenue = 200x

Concept used: Total revenue refers to the total amount of money collected from the sale of goods and services produced by a firm.

Calculation:

Let output be given by x units per year and Price be given by P.

Pick two points (250, 50000) & (1000, 100000)

Slope = 200

Then,

Total revenue for x units per year = 200x.

Conclusion:

Total revenue for x units per year = 200x.

Explanation of Solution

Concept used: Total revenue refers to the total amount of money collected from the sale of goods and services produced by a firm.

Calculation:

Let output be given by x units per year and Price be given by P.

Pick two points (250, 50000) & (1000, 100000)

Slope = 200

Then,

Total revenue for x units per year = 200x.

Conclusion:

Total revenue for x units per year = 200x.

To determine

(b)

The marginal cost of producing a given level of output.

Expert Solution
Check Mark

Answer to Problem 17P

Total cost = $100,000 + 100x

Concept used: Total cost refers to the total cost of producing goods and services. It also included the variable cost of production and the fixed cost of production.

Calculation:

Let output be given by x and Price be given by P. Then,

Total cost = $100,000 + 100x

Marginal cost of the slope of the total cost line. Cost changes from $100,000 to $200,000, output changes from 0 units to 1000 units per year.

So,

Marginal cost = $200,000$100,00010000= $100,0001000= 100

Marginal cost is $100 per unit.

Conclusion:

Marginal cost is $100 per unit.

Explanation of Solution

Concept used: Total cost refers to the total cost of producing goods and services. It also included the variable cost of production and the fixed cost of production.

Calculation:

Let output be given by x and Price be given by P. Then,

Total cost = $100,000 + 100x

Marginal cost of the slope of the total cost line. Cost changes from $100,000 to $200,000, output changes from 0 units to 1000 units per year.

So,

Marginal cost = $200,000$100,00010000= $100,0001000= 100

Marginal cost is $100 per unit.

Conclusion:

Marginal cost is $100 per unit.

To determine

(c)

The break-even level of output.

Expert Solution
Check Mark

Answer to Problem 17P

Break-even level of x is 1000 unit/year

Given information:

Total revenue for x units per year = 200x

Total cost = $100,000 + 100x

Concept used: Break-even point refers to the point where the firm earns zero economic profit. It is the point where total revenue is equal to the total cost of production.

Calculation:

Break-even point is given by,

Total revenue = Total cost200x=$100,000 + 100x100x=$100,000X=1,000.

Conclusion:

Break-even output is 1000 units.

Explanation of Solution

Given information:

Total revenue for x units per year = 200x

Total cost = $100,000 + 100x

Concept used: Break-even point refers to the point where the firm earns zero economic profit. It is the point where total revenue is equal to the total cost of production.

Calculation:

Break-even point is given by,

Total revenue = Total cost200x=$100,000 + 100x100x=$100,000X=1,000.

Conclusion:

Break-even output is 1000 units.

To determine

(d)

The profit of the company when 1500 units are produced and sold.

Expert Solution
Check Mark

Answer to Problem 17P

Profit = $50,000

Given information:

Total revenue for x units per year = 200x

Total cost = $100,000 + 100x

Concept used: Profit refers to the amount of gain earned by the company. It is calculated as total revenue minus total cost of producing a given level of output.

Calculation:

If you sell 1500 units this year

Total revenue =200x 200×1500 = $300,000

Total cost = $100,000 + 100x=$100,000 + 100(1500)=$100,000 + $150,000= $250,000

Profit = Total revenue  Total cost= $300,000  $250,000=$50,000.

Conclusion:

Profit = $50,000.

Explanation of Solution

Given information:

Total revenue for x units per year = 200x

Total cost = $100,000 + 100x

Concept used: Profit refers to the amount of gain earned by the company. It is calculated as total revenue minus total cost of producing a given level of output.

Calculation:

If you sell 1500 units this year

Total revenue =200x 200×1500 = $300,000

Total cost = $100,000 + 100x=$100,000 + 100(1500)=$100,000 + $150,000= $250,000

Profit = Total revenue  Total cost= $300,000  $250,000=$50,000.

Conclusion:

Profit = $50,000.

To determine

(e)

The average and marginal cost of producing a given level of output.

Expert Solution
Check Mark

Answer to Problem 17P

Average cost = $166.67

Marginal cost=$100

Given information:

Total revenue for x units per year = 200x

Total cost = $100,000 + 100x

Concept used: Marginal cost refers to the additional cost when one more unit of a good is produced. While, average cost is the cost per unit of output. It can be computed as total cost divided by the level of output.

Calculation:

Marginal cost is given by the change in total cost of production.

Cost at 1499 units= $100,000 + $100×1499= 249,900

Cost at 1500 units=$250,000Change in cost = $100Change in output= 1So, marginal cost is $100.Average cost = $250,0001500= $166.67.

Conclusion:

Average cost = $166.67

Marginal cost=$100.

Explanation of Solution

Given information:

Total revenue for x units per year = 200x

Total cost = $100,000 + 100x

Concept used: Marginal cost refers to the additional cost when one more unit of a good is produced. While, average cost is the cost per unit of output. It can be computed as total cost divided by the level of output.

Calculation:

Marginal cost is given by the change in total cost of production.

Cost at 1499 units= $100,000 + $100×1499= 249,900

Cost at 1500 units=$250,000Change in cost = $100Change in output= 1So, marginal cost is $100.Average cost = $250,0001500= $166.67.

Conclusion:

Average cost = $166.67

Marginal cost=$100.

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