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q1 Express the given quantity as a function f(x) of one variable x. The product of two numbers x and y whose sum is 28

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q1

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Express the given quantity as a function f(x) of one variable x. The product of two numbers x and y whose sum is 28 f(x) =Of all numbers whose difference is 22, find the two that have the minimum product. What are the two numbers? (Use a comma to separate answers as needed.)Question 20 {L5 pts Maximum Revenue Jesaki Electronics manufactures and sells 3 smartphones per week. The weekly pricedemand and cost equations are, respectively. p = 439 - 0.44 a: and 0(a) = 20,151 + 20 3:. Suppose Jesaki Electronics wants to maximize weekly revenue. Compute the following quantities. 1. How many phones should be produced each week? phones. Round to 2 decimal places. 2. What price should Jesaki charge for the phones? $ per phone. Round to the nearest cent 3. What is the maximum weekly revenue? :3 per week. Round to the nearest cent. Enter the result for 2. Question 21 0.5 pts Maximum Prot "faster Gadgets manufactures and sells 1: smartphones per week. The weekly pricedemand and cost equations are, respectively, p = 499 - 0.45 a: and C(m) = 19,84? + 22 3:. Suppose Yaster Gadgets wants to maximize weekly prot. Compute the following quanties. 1. How many phones should be produced each week? phones. Round to 2 decimal places. 2. What price should Jesaki charge for the phones? $ per phone. Round to the nearest cent 3. What is the maximum weekly prot? 15 per week. Round to the nearest cent. Enter the result for 2. Find the dimensions of a rectangle with an area of 49 square feet that has the minimum perimeter. The dimensions of this rectangle are ft. (Simplify your answer. Use a comma to separate answers as needed.)A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) =72,000 + 40x and X p(xx) = 300 - 20 O sx = 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 $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?The table contains price-demand and total cost data for the production of extreme-cold sleeping bags, X P C where p is the wholesale price (in dollars) of a sleeping bag for an annual demand of x sleeping bags 960 240 135,000 and C is the total cost (in dollars) of producing x sleeping bags. Complete parts (A) through (C) below. 1,150 210 150,000 1,800 160 180,000 2,050 125 200,000 (A) Find a quadratic regression equation for the price-demand data, using x as the independent variable. p(x) = (D * + (0D) * + (OD (Round the constant to four decimal places as needed. Round all other values to six decimal places as needed)A deli sells 320 sandwiches per day at a price of $4 each. (A) A market survey shows that for every $0.10 reduction in the price, 40 more sandwiches will be sold. How much should the deli charge in order to maximize revenue? The deli should charge $ for a sandwich to maximize revenue. (Round to the nearest cent as needed.)A publishing company sells 200,000 copies of certain books each year. It costs the company $1 to store each book for a year. Each time it must print additional copies, it costs the company $1,000 to set up the presses. How many books should the company produce during each printing in order to minimize its total storage and setup costs? The company should produce books each printing in order to minimize costs

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