Find the maximum value of the function z = 3x+8y subject to the following constraints. x> 3 y> 3 3x+4y <45 Note that the ALEKS graphing calculator can be used to make computations easier.

A business owner is monitoring the production cost of making laptop computers. It costs $5,000 to start the business. The production cost for 10 computers totals $6,000, and the production cost for 20 computers totals $5,000. Which type of function would best model the data, and why? Quadratic, because the production cost decreases to a minimum of $5,000 and then increases Quadratic, because the production cost increases to a maximum of $5,000 and then decreases Quadratic, because the production cost decreases to a minimum of $6,000 and then increases Quadratic, because the production cost increases to a maximum of $6,000 and then decreases

A company that conducts bus tours found that when the price was $9.00 per person, theaverage number of customers was 1000 per week. When the company reduced the price to $7.00per person, the average number of customers increased to 1500 per week. Assuming that thedemand function is linear, what price should be charged to obtain the greatest weekly revenue?Revenue is price times number sold. Also find this maximum revenue.

Social networking and video-sharing sites often include rich media and display advertising placed around user- generated content. Suppose that, for a particular social networking company, the annual revenue R, in millions of dollars, from rich media advertisements for the five years from the beginning of 2015 through the end of 2019 can be approximated by the model $ R(x) = x¹ + 11x³ - 39x² + 45x, where a is the number of years from the beginning of 2015. What was the total revenue for this company in the five-year period? Round to 2 decimal places. million -