Concept explainers
(a)
To write: a linear model that expresses the cost C of manufacturing x bicycles in a day.
(a)
Answer to Problem 47AYU
Therefore, the linear function that expresses the cost of manufacturing of x bicycles is
Explanation of Solution
Given:
Calculation:
The linear cost function is given by
Now, the bicycle manufacturer has daily fixed costs of $1800. So bis 1800.
As the cost of each bicycle is $90, m is 90.
Substitute 1800 for b and 90 form in the equation
Conclusion:
Therefore, the linear function that expresses the cost of manufacturing of x bicycles is
(b)
To graph: the model
(b)
Answer to Problem 47AYU
The graph was drawn.
Explanation of Solution
Calculation:
Compare the equation
To plot the graph, take the y -intercept point
The graph can be plotted as follows.
Conclusion:
Therefore, thegraph was drawn.
(c)
To find: the cost of manufacturing 14 bicycles in a day.
(c)
Answer to Problem 47AYU
The cost of manufacturing of 14 bicycles is $3060.
Explanation of Solution
Calculation:
Substitute 14 for x in
Conclusion:
Therefore, the cost of manufacturing of 14 bicycles is $3060.
(d)
To find: number of bicycles could be manufactured for $3780.
(d)
Answer to Problem 47AYU
22 bicycles can be manufactured for $3780.
Explanation of Solution
Calculation:
Substitute 3780 for
Subtract 1800 from both sides of the equation
Swap the sides of the equation.
Divide both the sides by 9.
Conclusion:
Therefore, 22 bicycles can be manufactured for $3780.
Chapter 3 Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus and Its Applications (11th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
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