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. (b) Calculate P(0). P(0) = -180 Explain in practical terms what your answer means. The producer will still make a profit if no widgets are soldThe producer will have a loss if no widgets are sold (c) What profit will the producer make if 12 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
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. (b) Calculate P(0). P(0) = -180 Explain in practical terms what your answer means. The producer will still make a profit if no widgets are soldThe producer will have a loss if no widgets are sold (c) What profit will the producer make if 12 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
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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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.
(b) Calculate P(0).
P(0) = -180
Explain in practical terms what your answer means.
(c) What profit will the producer make if 12 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
(b) Calculate P(0).
P(0) = -180
Explain in practical terms what your answer means.
The producer will still make a profit if no widgets are soldThe producer will have a loss if no widgets are sold
(c) What profit will the producer make if 12 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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