(a)
To draw: a
(a)
Answer to Problem 47RE
Explanation of Solution
Given:
Advertising | Total revenue |
20 | $6101 |
22 | $6222 |
25 | $6350 |
25 | $6378 |
27 | $6453 |
28 | $6423 |
29 | $6360 |
31 | $6231 |
Calculation:
Scatter diagram of above data is shown below:
From above graph it appears that the data follows a quadratic equation with
Conclusion:
Therefore, a scatter diagram is drawn.
(b)
the optimal level of advertising.
(b)
Answer to Problem 47RE
The optimum level of advertising is
Explanation of Solution
Given:
Calculation:
Compare
The maximum value occurs at
Therefore the optimum level of advertising is
Conclusion:The optimum level of advertising is
(c)
To predict: the total revenue when the optimal level of advertising is spent.
(c)
Answer to Problem 47RE
Total revenue is
Explanation of Solution
Calculation:
The peak income earned is
Therefore total revenue is
Conclusion:
Total revenue is
(d)
To verify: the function given in part (b) is the quadratic function of best fit or not
(d)
Answer to Problem 47RE
The quadratic equation of best fit is
Explanation of Solution
Calculation:
Upon executing the QUADraticREGression program.
The obtained results are shown below:
The output that the utility provides shows us the equation
Conclusion:
The quadratic equation of best fit is
(e)
To draw: a graph the quadratic function of best fit
(e)
Answer to Problem 47RE
Explanation of Solution
Calculation:
Graph of the quadratic function found in part d) drawn on the scatter diagram is shown below:
Conclusion:
Thus, the graph the quadratic function is drawn.
Chapter 3 Solutions
Precalculus
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Calculus and Its Applications (11th Edition)
Calculus: Early Transcendentals (2nd Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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