The graph below shows a company's estimated profits (in dollars) for different advertising expenses (in tens of thousands of dollars). The company's actual profit was $988,608.55 for an advertising expense of $290,000. P 1 100 000 900 000 700 000 1 500 000 300 000 100 000 -100 000 5 10 15 (29, 988608.55) (b) The company's model is 20 25 30 35 X (a) From the graph, it appears that the company could have obtained the same profit for a lesser advertising expense. Use the graph to estimate this expense (in dollars). An advertising expense of $ when x = 0 also appears to yield a profit of about $988,608.55. P= -140.75x³ + 5348.3x2 - 76,560, 0≤ x ≤ 35 where P is the profit (in dollars) and x is the advertising expense (in tens of thousands of dollars). Explain how you could verify the lesser expense from part (a) algebraically. To verify, evaluate P(x) at x =

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.6: Combinations Of Functions: Composite Functions
Problem 72E: HOW DO YOU SEE IT? The graphs labeled L1,L2,L3, and L4 represent four different pricing discounts,...
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The graph below shows a company's estimated profits (in dollars) for different advertising expenses (in tens of thousands of dollars). The company's actual profit was $988,608.55 for
an advertising expense of $290,000.
P
1 100 000
900 000
700 000
500 000
300 000
100 000
- 100 000
(29, 988608.55)
5 10 15 20 25 30 35
(b) The company's model is
X
i
(a) From the graph, it appears that the company could have obtained the same profit for a lesser advertising expense. Use the graph to estimate this expense (in dollars).
An advertising expense of $
when x = 0
also appears to yield a profit of about $988,608.55.
P = 140.75x³ + 5348.3x2 - 76,560, 0 ≤ x ≤ 35
where P is the profit (in dollars) and x is the advertising expense (in tens of thousands of dollars). Explain how you could verify the lesser expense from part (a) algebraically.
To verify, evaluate P(x) at x =
Transcribed Image Text:The graph below shows a company's estimated profits (in dollars) for different advertising expenses (in tens of thousands of dollars). The company's actual profit was $988,608.55 for an advertising expense of $290,000. P 1 100 000 900 000 700 000 500 000 300 000 100 000 - 100 000 (29, 988608.55) 5 10 15 20 25 30 35 (b) The company's model is X i (a) From the graph, it appears that the company could have obtained the same profit for a lesser advertising expense. Use the graph to estimate this expense (in dollars). An advertising expense of $ when x = 0 also appears to yield a profit of about $988,608.55. P = 140.75x³ + 5348.3x2 - 76,560, 0 ≤ x ≤ 35 where P is the profit (in dollars) and x is the advertising expense (in tens of thousands of dollars). Explain how you could verify the lesser expense from part (a) algebraically. To verify, evaluate P(x) at x =
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