The monthly profit P for a widget producer is a function of the number n of widgets sold. The formula isP = −13 + 10n − 0.2n2.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 11 thousand widgets sold.(a) Make a graph of P versus n. (b) Calculate P(1).P(1) = Explain in practical terms what your answer means.The producer has loss of $ .(c) Is the graph concave up or concave down?concave upconcave down Explain in practical terms what this means.This means that, as the number of widgets sold increases, the monthly profit at rate.(d) The break-even point is the sales level at which the profit is 0. Find the break-even point for this widget producer. (Round your answer to two decimal places.) thousand widgets

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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 monthly profit P for a widget producer is a function of the number n of widgets sold. The formula is

P = −13 + 10n − 0.2n².

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 11 thousand widgets sold.

(a) Make a graph of P versus n.

(b) Calculate P(1).
P(1) =

Explain in practical terms what your answer means.

The producer has loss of $ .

concave upconcave down

Explain in practical terms what this means.

This means that, as the number of widgets sold increases, the monthly profit at rate.

(d) The break-even point is the sales level at which the profit is 0. Find the break-even point for this widget producer. (Round your answer to two decimal places.)
thousand widgets

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The break-even point is the sales level at which the profit is 0. Find the break-even point for this widget producer. (Round your answer to two decimal places.)
thousand widgets

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