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 = −3 + 2.1n − 0.2n2 (a) Make a graph of P versus n. (b) Calculate P(0). P(0) = $ thousand Explain in practical terms what your answer means. The company will gain profit if they produce 0 widgets.The company will lose profit in week 0. The company will gain profit in week 0.The company will lose profit if they produce 0 widgets. (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 = 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, n is measured in thousands of widgets, and the formula is valid up to a level of 8 thousand widgets sold. P = −3 + 2.1n − 0.2n2 (a) Make a graph of P versus n. (b) Calculate P(0). P(0) = $ thousand Explain in practical terms what your answer means. The company will gain profit if they produce 0 widgets.The company will lose profit in week 0. The company will gain profit in week 0.The company will lose profit if they produce 0 widgets. (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 = 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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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 = −3 + 2.1n − 0.2n2
(a) Make a graph of P versus n.
(b) Calculate P(0).
P(0) = $ thousand
Explain in practical terms what your answer means.
(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 = thousand widgets
(b) Calculate P(0).
P(0) = $ thousand
Explain in practical terms what your answer means.
The company will gain profit if they produce 0 widgets.The company will lose profit in week 0. The company will gain profit in week 0.The company will lose profit if they produce 0 widgets.
(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 = thousand widgets
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