The weekly profit P for a widget producer is a function of the number n of widgets sold. The formula is as follows, where P is measured in thousands of dollars, n is measured in thousands of widgets, and the formula is valid up to a level of 12 thousand widgets sold. P = −1 + 2.6n − 0.2n2 Exercise (a) Make a graph of P versus n. Step 1 Because the formula is valid for up to 12 thousand widgets sold, we make the graph using a horizontal span of 0 to . The table of values below led us to choose a vertical span of -2 to 8. The graph is on below. The horizontal axis corresponds to the variable which is thousands of widgets sold, and the vertical axis corresponds to the variable which is weekly profit measured in thousands of dollars. n P 0 -1.00 3.25 5.34 6.50 7.45 9.25 5.94 12.00 1.40 Select the correct graph. Exercise (b) Calculate P(0) and explain in practical terms what your answer means. Exercise (c) At what sales level is the profit as large as possible?
The weekly profit P for a widget producer is a function of the number n of widgets sold. The formula is as follows, where P is measured in thousands of dollars, n is measured in thousands of widgets, and the formula is valid up to a level of 12 thousand widgets sold. P = −1 + 2.6n − 0.2n2 Exercise (a) Make a graph of P versus n. Step 1 Because the formula is valid for up to 12 thousand widgets sold, we make the graph using a horizontal span of 0 to . The table of values below led us to choose a vertical span of -2 to 8. The graph is on below. The horizontal axis corresponds to the variable which is thousands of widgets sold, and the vertical axis corresponds to the variable which is weekly profit measured in thousands of dollars. n P 0 -1.00 3.25 5.34 6.50 7.45 9.25 5.94 12.00 1.40 Select the correct graph. Exercise (b) Calculate P(0) and explain in practical terms what your answer means. Exercise (c) At what sales level is the profit as large as possible?
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.CT: Chapter Test
Problem 5CT: A school fund-raising group sells chocolate bars to help finance a swimming pool for their physical...
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The weekly profit P for a widget producer is a function of the number n of widgets sold. The formula is as follows, where P is measured in thousands of dollars, n is measured in thousands of widgets, and the formula is valid up to a level of 12 thousand widgets sold.
P = −1 + 2.6n − 0.2n2
Exercise (a)
Make a graph of P versus n.
Step 1
Because the formula is valid for up to 12 thousand widgets sold, we make the graph using a horizontal span of 0 to . The table of values below led us to choose a vertical span of -2 to 8. The graph is on below. The horizontal axis corresponds to the variable
which is thousands of widgets sold, and the vertical axis corresponds to the variable
which is weekly profit measured in thousands of dollars.
Select the correct graph.
| n | P |
| 0 | -1.00 |
| 3.25 | 5.34 |
| 6.50 | 7.45 |
| 9.25 | 5.94 |
| 12.00 | 1.40 |
Select the correct graph.
Exercise (b)
Calculate P(0) and explain in practical terms what your answer means.
Exercise (c)
At what sales level is the profit as large as possible?
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