please answer question 17 and show full work. please have nice handwriting or type your answer.

money that businesses take in by selling 17. Rose Sales A street vendor constructs the table below on the basis of sales data. Sales of Roses, Given the Price per Dozen Price (dollars) Sales (dozen roses) 20 160 25 150 30 125 32 85 a. Find a model for quantity sold. b. Construct a model for consumer expenditure (revenue for the vendor). c. What price should the street vendor charge to maximize consumer expenditure? d. If each dozen roses costs the vendor $10, what price should he charge to maximize his profit? 18. Recycled Material The yearly amount of material recy- cled (in thousand tons) during selected years from 2000 through 2011 is given in the accompanying table. a. Find a model for the data. b. Write the slope formula for the model of the data. c. How rapidly was the amount of recycled material increasing in 2010? d. Does the model have any relative or absolute extrema for years between (and including) 2009 and 20111