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 - 4n Here Pis measured in thousands of dollars, n is measured in thousands of widgets, and the formula is valid up to a level of 20 thousand vwidgets sold. (a) Make the graph of P versus n. 00 600 18 20 14 16 18 20 (b) Calculate P(0). P(O) = C Explain in practical terms what your answer means. O The producer will have a loss if no widgets are sold O The producer will sil make a profit if no widgets are sold (9) What profit will the producer make if 14 thousand widgets are sold? |thousand dollars (d) The break-even point is the sales level at vwhich the profit is 0. Approximate the break-even point for this widget producer. thousand widgets (e) What is the largest profit possible? thousand dollars

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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- 4n
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.
600
600
400
400
200
200
46
10 12 14 16 18 20
8 10 12 14 16 18 20
-200
-200
600
G00
400
200
200
246
10 12 14 16 18 20
24
10 12 14 16 18 20
-200
-200
(b) Calculate P(0).
P(0) =|
Explain in practical terms what your answer means.
O The producer will have a loss if no widgets are sold
O The producer will still make a profit if no widgets are sold
(c) What profit will the producer make if 14 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
(e) What is the largest profit possible?
thousand dollars
Transcribed Image Text: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- 4n 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. 600 600 400 400 200 200 46 10 12 14 16 18 20 8 10 12 14 16 18 20 -200 -200 600 G00 400 200 200 246 10 12 14 16 18 20 24 10 12 14 16 18 20 -200 -200 (b) Calculate P(0). P(0) =| Explain in practical terms what your answer means. O The producer will have a loss if no widgets are sold O The producer will still make a profit if no widgets are sold (c) What profit will the producer make if 14 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 (e) What is the largest profit possible? thousand dollars
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 given function of the profit is 

P=-180+100n-4n2

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