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Mathematics - Algebra - Functions and Graphs

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A manufacturer can produce bookcases at a cost of $80 apiece. Sales figures indicate that if the bookcases are sold for x dollars apiece, approximately 150 - x will be sold each month.

a) Express the manufacturer's monthly profit as a fucntion of the selling price x

b) Draw the graph

c) Estimate the optimal selling price

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Solution Summary

The expert uses functions and graphs to express the monthly profit of a manufacturer produces bookcases. Acomplete, neat and step-by-step solution is provided in the attached file.

Solution Preview

Please see the attachment.

(a) Profit = Revenue - Cost. Therefore, P(x) = x(150 - x) - 80(150 ...

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