For the function, locate any absolute extreme points over the given interval. (Round your answers to three decimal places. If an answer does not exist, enter DNE.)

g(x) =3x²+14.4x16.2,1x5

absolute maximum	(x,y) =
absolute minimum	(x,y) =

For the function, locate any absolute extreme points over the given interval. (Round your answers to three decimal places. If an answer does not exist, enter DNE.)

j(x) =0.3x³+1.2x²7x+4,8x4

absolute maximum	(x,y) =
absolute minimum	(x,y) =

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

Price (dollars)	Sales (dozen roses)
20	168
25	158
30	133
32	93

(a) Find a quadratic function for the model of the data that gives the quantity sold at x dollars, data from

20 x 32.

(Round all numerical values to three decimal places.)

S(x)

(b) Find a function for the model for consumer expenditure (revenue for the vendor), where x is the price in dollars, data from

20 x 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 $11, what price should he charge to maximize his profit? (Round your answer to two decimal places.) $