Concept explainers
a.
To find: the total cost .
a.
Answer to Problem 79E
Explanation of Solution
Given:
The variable cost is
The fixed costs are
Concept used:
Total cost is the sum of variable cost and the fixed costs.
Calculation:
Given variable cost for the product is
Let
So, variable cost for
Total cost
Conclusion:
Therefore, total cost is
b.
To find: the revenue for the number of units sold.
b.
Answer to Problem 79E
Explanation of Solution
Given:
The variable cost is
The fixed costs are
Product is sold at a cost of
Concept used:
Revenue is the total amount obtained by selling the products.
Calculation:
Given that the product is sold at a cost of
Total number of units sold is
So, the revenue obtained
Conclusion:
Therefore, the revenue obtained is
c.
To find: the profit function.
c.
Answer to Problem 79E
Explanation of Solution
Given:
Total cost is
Revenue obtained is
Concept used:
Profit function is given by:
Where
Calculation:
Given that total cost is
So, the profit function is given by:
Conclusion:
Therefore, the profit function is
d.
To find: the value of
d.
Answer to Problem 79E
Explanation of Solution
Given:
Total cost is
Revenue obtained is
Profit function is
Concept used:
Profit function is given by:
Where
Calculation:
Given the profit function is
So,
Therefore, company earns a profit of
Conclusion:
Therefore, company earns a profit of
e.
To find: the value of
e.
Answer to Problem 79E
Explanation of Solution
Given:
Total cost is
Revenue obtained is
Profit function is
Concept used:
Profit function is given by:
Where
Calculation:
Given the profit function is
So,
Therefore, company earns a loss of
Conclusion:
Therefore, company earns a loss of
Chapter 1 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning