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Concept explainers
(a)
To find: the new bicycle daily fixed cost if the manufacturer is open for business 20days per month.
(a)
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Answer to Problem 48AYU
The new daily fixed costs are
Explanation of Solution
Given:
The cost function as
Now, the rent has been increased to $100 per month.
Calculation:
Since the business is open for 20 days in a month, the new additional cost would be given by
Hence the new daily fixed costs are
Conclusion:
Therefore, the new daily fixed costs are
(b)
To write: a linear model that expresses the cost C of manufacturing x bicycles in a day with the higher rent.
(b)
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Answer to Problem 48AYU
The linear model expressing the cost is as follows
Explanation of Solution
Calculation:
The slope is still 90 dollars because the variable cost doesn't change in this problem. The y -intercept is thenew daily fixed cost.
The new cost function is obtained with the original variable cost and thenew daily fixed cost.
The linear model expressing the cost is as follows
Conclusion:
Therefore, the linear model expressing the cost is as follows
(c)
To graph: the model
(c)
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Answer to Problem 48AYU
The graph was drawn.
Explanation of Solution
Calculation:
The graph of the cost function
Conclusion:
Therefore, the graph was drawn.
(d)
To find: the cost of manufacturing 14 bicycles in a day
(d)
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Answer to Problem 48AYU
The cost of manufacturing 14 bicycles in a day is $3605.
Explanation of Solution
Calculation:
Cost of manufacturing 14 bicycles in a day, that is,
That is, $3605.
Conclusion:
Therefore, the cost of manufacturing 14 bicycles in a day is $3605.
(e)
To find: the number of bicycle can be manufactured for $3780.
(e)
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Answer to Problem 48AYU
21 bicycle can be manufactured for $3780.
Explanation of Solution
Calculation:
As the cost of manufacturing $3780, that is,
That is, 21 bicycles can be manufactured in the given cost.
Conclusion:
Therefore, 21 bicycle can be manufactured for $3780.
Chapter 3 Solutions
Precalculus
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