A street vendor constructs the table below on the basis of sales data. (Note: Consumer expenditure and revenue are terms for the same thing from different perspectives. Consumer expenditure is the amount of money that consumers spend on a product, and revenue is the amount of money that businesses take in by selling the product.). Sales of Roses, Given the Price per Dozen Sales (dozen roses) Price (dollars) 20 166 156 131 91 (a) Find a quadratic function for the model of the data that gives the quantity sold at x dollars, data from 20 sxs 32. (Round all numerical values to three decimal places) 5(x)= 25 30 32 (b) Find a function for the model for consumer expenditure (revenue for the vendor), where x is the price in dollars, data from 20 sxs 32 (Round all numerical values to three decimal places) R(X)- (c) What price should the street vendor charge to maximize consumer expenditure? (Round your answer to two decimal places) $ (d) If each dozen roses costs the vendor $13, what price should he charge to maximize his proht? (Round your answer to two decimal places) S

A street vendor constructs the table below on the basis of sales data. (Note: Consumer expenditure and revenue are terms for the same thing from different perspectives. Consumer expenditure is the amount of money that consumers spend on a product, and revenue is the amount of money that businesses take in by selling the product.). Sales of Roses, Given the Price per Dozen Sales (dozen roses) Price (dollars) 20 166 156 131 91 (a) Find a quadratic function for the model of the data that gives the quantity sold at x dollars, data from 20 sxs 32. (Round all numerical values to three decimal places) 5(x)= 25 30 32 (b) Find a function for the model for consumer expenditure (revenue for the vendor), where x is the price in dollars, data from 20 sxs 32 (Round all numerical values to three decimal places) R(X)- (c) What price should the street vendor charge to maximize consumer expenditure? (Round your answer to two decimal places) $ (d) If each dozen roses costs the vendor $13, what price should he charge to maximize his proht? (Round your answer to two decimal places) S

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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