600 400- P 200- 0 C 2 (b) Calculate P(0). P(0) = 10 12 14 16 18 20 400 2 200 0 2 6 10 12 14 16 18 20 P Explain in practical terms what your answer means. The producer will still make a profit if no widgets are sold O The producer will have a loss if no widgets are sold 600 (e) What is the largest profit possible? thousand dollars -200 (c) What profit will the producer make if 13 thousand widgets are sold? thousand dollars (d) The break-even point is the sales level at which the profit is 0. Approximate the break-even point for this widget producer. thousand widgets

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.7: Polynomial And Rational Inequalities
Problem 58E
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Question
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esc
O
1
-200
P
0
600
400
F1
200
a
(b) Calculate P(0).
P(0) =
-200-
246 8 10 12 14 16 18 20
n
firm
of
0 2 4 6
10 12 14 16 18 20
n
Explain in practical terms what your answer means.
O The producer will still make a profit if no widgets are sold
O The producer will have a loss if no widgets are sold
Need Help?
(e) What is the largest profit possible?
thousand dollars
Read It
@ 2
(c) What profit will the producer make if 13 thousand widgets are sold?
thousand dollars
F2
W
Master It
# 3
(d) The break-even point is the sales level at which the profit is 0. Approximate the break-even point for this widget producer.
thousand widgets
80
F3
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000
F4
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600
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400
200
0
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Transcribed Image Text:esc O 1 -200 P 0 600 400 F1 200 a (b) Calculate P(0). P(0) = -200- 246 8 10 12 14 16 18 20 n firm of 0 2 4 6 10 12 14 16 18 20 n Explain in practical terms what your answer means. O The producer will still make a profit if no widgets are sold O The producer will have a loss if no widgets are sold Need Help? (e) What is the largest profit possible? thousand dollars Read It @ 2 (c) What profit will the producer make if 13 thousand widgets are sold? thousand dollars F2 W Master It # 3 (d) The break-even point is the sales level at which the profit is 0. Approximate the break-even point for this widget producer. thousand widgets 80 F3 E $ 4 O-200 P 000 000 F4 R 0 600 % 5 400 200 0 -200- ܐ F5 246 8 10 12 14 16 18 20 n 24 6 8 T SE ^ 6 10 12 14 16 18 20 n F6 & 7 3 F7 Ų * 00 8 DII F8 - ( 9 F9 ) 0
ab
The yearly profit P for a widget producer is a function of the number n of widgets sold. The formula is given below.
P= -180 + 100n - 4n²
Here P is measured in thousands of dollars, n is measured in thousands of widgets, and the formula is valid up to a level of 20 thousand widgets sold.
(a) Make the graph of P versus n.
esc
!
1
P
O
600
400
F1
200
-200
P
O
Q
01
600-
A
400
200-
(b) Calculate P(0).
P(0) =
-200
2 4 6 8 10 12 14 16 18 20
n
02 4 6 8 10 12 14 16 18 20
n
*
@
Explain in practical terms what your answer means.
O The producer will still make a profit if no widgets are sold
O The producer will have a loss if no widgets are sold
2
F2
W
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#3
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F3
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600
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Transcribed Image Text:ab The yearly profit P for a widget producer is a function of the number n of widgets sold. The formula is given below. P= -180 + 100n - 4n² Here P is measured in thousands of dollars, n is measured in thousands of widgets, and the formula is valid up to a level of 20 thousand widgets sold. (a) Make the graph of P versus n. esc ! 1 P O 600 400 F1 200 -200 P O Q 01 600- A 400 200- (b) Calculate P(0). P(0) = -200 2 4 6 8 10 12 14 16 18 20 n 02 4 6 8 10 12 14 16 18 20 n * @ Explain in practical terms what your answer means. O The producer will still make a profit if no widgets are sold O The producer will have a loss if no widgets are sold 2 F2 W S #3 80 F3 E D $ 4 000 600 F4 400 r 200 8 10 12 14 16 18 20 n R P F 600 P 600 400- 07 dº 200- 0 -200 F5 24 T A 6 G 10 12 14 16 18 20 n F6 Y & 7 H JA F7 U * 8 J DII FB ( 9 DD F9 K ) 0 0 4 F10 L P J
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