1. The CEO of a furniture factory finds that the cost to manufacture beds is given by the function C(x) = -4x² + 24x + 12, where x is the number of beds, and that the revenue for selling x beds is given by the function R(x) = -6x? + 35x, in thousands of dollars. a) Use the cost and revenue expressions to find the profit function, in thousands of dollars, in terms of x. b) Find the interval for the number of beds manufactured and sold where the factory will have a positive profit.
1. The CEO of a furniture factory finds that the cost to manufacture beds is given by the function C(x) = -4x² + 24x + 12, where x is the number of beds, and that the revenue for selling x beds is given by the function R(x) = -6x? + 35x, in thousands of dollars. a) Use the cost and revenue expressions to find the profit function, in thousands of dollars, in terms of x. b) Find the interval for the number of beds manufactured and sold where the factory will have a positive profit.
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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Transcribed Image Text:1. The CEO of a furniture factory finds that the cost to manufacture beds is given by
the function C(x) = -4x² + 24x + 12, where x is the number of beds, and that the
revenue for selling x beds is given by the function R(x) = -6x? + 35x, in thousands
of dollars.
a) Use the cost and revenue expressions to find the profit function, in thousands of
dollars, in terms of x.
b) Find the interval for the number of beds manufactured and sold where the factory
will have a positive profit.
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