A farmer finds that if she plants 55 trees per acre, each tree will yield 60 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 bushels. How many trees should she plant per acre to maximize her harvest? trees Give your answer rounded to the nearest whole number. Question Help: Video Submit QuestionA manufacturer has been selling 1300 television sets a week at $450 each. A market survey indicates that for each $17 rebate offered to a buyer, the number of sets sold will increase by 170 per week. a) Find the demand function p(@), where is the number of the television sets sold per week. P(I) -0.1x + 580 b) How large rebate should the company offer to a buyer, in order to maximize its revenue? 170 X c) If the weekly cost function is 97500 + 150x, how should it set the size of the rebate to maximize its profit? 85 Question Help: Video Submit Question.5. piece of cardboard measuring 9 inches by 11 inches is formed into an open-top box by cutting squares with side length 1: from each corner and folding up the sides. Find a formula for the 1volume of the box in terms of :1: V[;1:) = l. .I Find the value for :I.' that will maximize the volume of the box a = |_ _| Submit Question A rancher wants to fence in an area of 1,000,000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use? .5. cylinder shaped can needs to be constructed to hold 500 cubic centimeters of soup. The material for the sides of the can costs 0.02 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: i: : height of can, r : radius of can 1'.I"olume of a cylinder: V 2 I123}. Area of the sides: A = 2wh Area of the topx'bottom: A 2 n72 To minimize the cost of the can: Radius of the can: I I Height of the can: I I Minimum cost: I I cents Question Help: [E] V'ceo Submit