A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below. p=500 - 0.5x and C(x) = 20,000 + 140x (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 should produce phones each week at a price of $. (Round to the nearest cent as needed.)A rectangular flower garden with an area of 78 m" is surrounded by a grass border 1 m wide on two sides and a 2 m wide on the other two sides as shown in the figure. What dimensions of the garden minimize the combined area of the garden and borders? 2 m Flower garden 1 m Let h be the vertical height of the garden and let A be the total area of the garden and borders. Write the objective function. A =] (Type an expression.)X A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) = 72,000 + 50x and p(x) = 200 30 . 0 5 x = 6000. (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 $5 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.)Part 1 of 3 O Points: 0 of 3 save Suppose a tour guide has a bus that holds a maximum of 98 people. Assume his profit (in dollars) for taking n people on a city tour is P(n) = n(49 -0.5n) -98. (Although P is defined only for positive integers, treat it as a continuous function.) a. How many people should the guide take on a tour to maximize the profit? b. Suppose the bus holds a maximum of 42 people. How many people should be taken on a tour to maximize the profit? a. Find the derivative of the given function P(n). P'(n) =