1:21 AM Wed Mar 23 no 4? () 86%[Er X CircuitTrainingOptimizationcalculus-1.pdf @ [11 Z Answer: 5000 # Mendel is back at it with another genetics experiment. This time he needs to partition a rectangular garden into 4 parts by constructing three additional fences parallel to one of the sides, in addition to fencing the perimeter. What is the minimum amount of fencing (in meters) he will need to enclose 2500 m2 ? Answer: 182 # A rectangle is formed with one side on the positive x-axis. one side on the positive y-axis, and the vertex opposite the origin on the graph of the line y = 125 (3/2)x. Find the area of the largest rectangle. Answer: 2109 # Georgina Orwell wants to build a rectangular pig pen along the side of a pre-existing barn. so she will only need fencing on three sides. She has 200 feet of fencing and will use all of it to maximize the pig pen. Find the maximum area [in square feet) she can enclose. Virge Cornelius 2015 Circuit Training Optimization Name Directions: Beginning in cell #1, read the question, sketch a picture [if applicable), write the constraint[s) and the equation to optimize. Use calculus to nd the max or min. To advance in the circuit, search for the answer to the question and when you nd it, that cell becomes problem #2. Continue in this manner until you complete the circuit by returning to the beginning. Note: Technology will be needed to aid in the computation, but should not be used to nd the max or the min. Also. all answers have been rounded to the nearest whole number. Answer: 539 # _ _ Newton has 225 feet of fencing and wishes to enclose his English bulldogs with a rectangular pen. What are the dimensions of the pen with the maximum area? To advance in the circuit, find the area, in s I uare feet, of the en with maximum area. Answer: 7030 C(x) # The average cost function, (106), is defined as a(x) = T where C (x) is the cost function and x is the number of units produced. Find the production level to minimize the average 3 cost if C(x) = 25000 + 100x + 4x5. 3164 Mendel is planting peas for a genetics experiment. He has 225 feet of fencing to fence a rectangular garden and divide it into two equal parts by placing another fence parallel to one of the sides. What is the maximum total area (in square feet) he can enclose? Virge Cornelius 2015 X CircuitTrainingOptimizationcalculus-1.pdf @ [11 E Answer: 173 # An open-top storage bin in the shape of rectangular prism whose base is a square is constructed such that the volume is 3500 cm3. To minimize the weight of the storage bin, one must minimize the surface area. Find the surface area (in cm?) that minimizes weight. Answer: 316 # Maximize the volume of a rectangular prism whose base area is given by the polynomial 36 + 15x - 3x2 and whose height is 20x - 90. Answer: 2200 # A poster for the animal shelter is on a 7875 cm2 sheet of glossy paper. The margins on the top and bottom are 2 cm and the side margins are 3 cm. What is the largest possible printable area (in cm2] of the paper? Virge Cornelius 2015