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The table below shows the production costs K(x) in dollars per month for some different production quantities x of an item. x K(x) 500 220 1000 226 2500 549 3000 712 3500 870 a) Find the quadratic function for K(x) The income for a given production quantity x is described by I(x) = 500x -0,125x² dollars b) For which production quantities does the company make a profit? c) Which production quantity gives the greatest profit? d) What is the name of the asymptote which the unit cost moves towards when x becomes very large?

The table below shows the production costs K(x) in dollars per month for some different production quantities x of an item. x K(x) 500 220 1000 226 2500 549 3000 712 3500 870 a) Find the quadratic function for K(x) The income for a given production quantity x is described by I(x) = 500x -0,125x² dollars b) For which production quantities does the company make a profit? c) Which production quantity gives the greatest profit? d) What is the name of the asymptote which the unit cost moves towards when x becomes very large?

Advanced Engineering Mathematics
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 table below shows the production costs K(x) in dollars per month for some different production quantities x of an item. K(x) 500 220 1000 226 2500 549 3000 712 3500 870 a) Find the quadratic function for K (x) The income for a given production quantity x is described by I(x) = 500x - 0,125x² dollars b) For which production quantities does the company make a profit? c) Which production quantity gives the greatest profit? d) What is the name of the asymptote which the unit cost moves towards when x becomes very large?
Transcribed Image Text:The table below shows the production costs K(x) in dollars per month for some different production quantities x of an item. K(x) 500 220 1000 226 2500 549 3000 712 3500 870 a) Find the quadratic function for K (x) The income for a given production quantity x is described by I(x) = 500x - 0,125x² dollars b) For which production quantities does the company make a profit? c) Which production quantity gives the greatest profit? d) What is the name of the asymptote which the unit cost moves towards when x becomes very large?
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