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, nis measured in thousands of widgets, and the formula is valid up to a level of 8 thousand widgets sold. P=42.1n-0.2² (a) Make a graph of P versus n. 10 ht AN P 15 10 -2 (b) Calculate P(0). P(0) = $1 thousand Explain in practical terms what your answer means. O The company will gain profit if they produce 0 widgets. O The company will gain profit in week 0. The company will lose profit in week 0. O The company will lose profit if they produce 0 widgets. n (c) At what sales level is the profit as large as possible? (Use the graph to find the value. Round your answer to the nearest whole number) n=1 thousand widgets
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, nis measured in thousands of widgets, and the formula is valid up to a level of 8 thousand widgets sold. P=42.1n-0.2² (a) Make a graph of P versus n. 10 ht AN P 15 10 -2 (b) Calculate P(0). P(0) = $1 thousand Explain in practical terms what your answer means. O The company will gain profit if they produce 0 widgets. O The company will gain profit in week 0. The company will lose profit in week 0. O The company will lose profit if they produce 0 widgets. n (c) At what sales level is the profit as large as possible? (Use the graph to find the value. Round your answer to the nearest whole number) n=1 thousand widgets
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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 8 thousand widgets sold.
P= 4+2.1n -0.2²
(a) Make a graph of P versus n.
P
O
15
10
P
2
2
(b) Calculate P(0).
P(0) = $
4
2
6
thousand
8
n
O
Explain in practical terms what your answer means.
O The company will gain profit if they produce 0 widgets.
O The company will gain profit in week 0.
O The company will lose profit in week 0.
O The company will lose profit if they produce 0 widgets.
P
2
1
AA
n
4
6
2
-1
-2
15
10
3
2
4
6
4
6
8
8
n
n
(c) At what sales level is the profit as large as possible? (Use the graph to find the value. Round your answer to the nearest whole number.)
thousand widgets
n=
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