Q1

Find two numbers whose sum is 19 and whose product is a maximum. The two numbers are D. (Simplify your answer. Use a comma to separate answers as needed.) Of all numbers whose difference is 2, find the two that have the minimum product. . . . What are the two numbers? (Use a comma to separate answers as needed.)Find two positive numbers whose product is 55 and whose sum is a minimum. The two numbers are (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)Find the dimensions of a rectangle with an area of 225 square feet that has the minimum perimeter. The dimensions of this rectangle are D ft. (Simplify your answer. Use a comma to separate answers as needed.) Find the dimensions of a rectangle with a perimeter of 132 feet that has the maximum area The side lengths are D feet. (Use a comma to separate answers as needed.) A company manufactures and sells x cellphones per week. The weekly pricedemand and cost equations are given below. p = 400 - 0.1x and C(x) = 25,000 + 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 should produce D phones each week at a price of $|:|. (Round to the nearest cent as needed.) A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are X C(x) = 74,000 + 60x and p(x) = 300 5' 0 s x s 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 prot? What is the maximum prot? What should the company charge for each set? E (A) The maximum revenue is $|:|. (Type an integer or a decimal.) A deli sells 480 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 car rental agency rents 210 cars per day at a rate of $40 per day. For each $1 increase in rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income? What is the maximum income?