Student: Sterling White Instructor: David Scott Date: 11/21/22 Course: Math 1325 Calculus for Business Assignment: 11.6 Max and Min Problems 7. A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) = 75,000+ 80x and p(x) = 300 - 3, 05x s 9000. (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set. C) If the government decides to tax the company $4 for each set it produces, how many sets should the company manufacture each month to maximize its profit? What is the maximum profit? What should the company charge for each set? (A) The maximum revenue is $ Type an integer or a decimal.) B) The maximum profit is S when sets are manufactured and sold for $ |each. (Type integers or decimals.) (C) When each set is taxed at $4, the maximum profit is $ when sets are manufactured and sold for $ each (Type integers or decimals.)lStudent: Sterling White Instructor: David Scott . . \"- EDate: 11/21/22 Course: Math1325 Calculus for Business Assignment. 11'6 Max and Mm Problems 1 6. A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below. p = 400 0.1x and C(x) = 20,000 + 130x (A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue? The company shoutd produce phones each week at a price of $[:::j_ (Round to the nearest cent as needed.) The maximum weekly revenue is $::j. (Round to the nearest cent as needed.) (B) What price should the company charge for the phones. and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit? The company should produce E phones each week at a price of $:l. (Round to the nearest cent as needed.) The maximum weekly prot is $ f. (Round lo the nearest cent as needed.) Student: Sterling White Instructor: David Scot Date: 11/21/2 Course: Math 1325 Calculus for Business Assignment: 11.2 Taking multiple Derivatives 8. A dairy is planning to introduce and promote a new line of organic ice cream. After test marketing the new line in a large city, the marketing research department found that the demand in that city is given approximately by the following equation, where x thousand quarts were sold per week at a price of $p each, and whose revenue function is given as R(x) = xp. p= 13e 0