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9106 (course MATH 132-c03 Busin... Previous Problem Problem List Next Problem 11 - Applied Optimization: Problem 7 (1 point) A landscape architect wished to enclose
9106 (course MATH 132-c03 Busin... Previous Problem Problem List Next Problem 11 - Applied Optimization: Problem 7 (1 point) A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $50/ft and on the other three sides by a metal fence costing $20/ft. If the area of the garden is 22 square feet, find the dimensions of the garden that minimize the cost. Length of side with bricks a: = Length of adjacent side y = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 3 times. Your overall recorded score is 0%. You have unlimited attempts remaining. Email Instructor DH" 0101102 n+ 110'"an ECT @ E : Stream Courses Calendar More 9106 (course MATH 132-c03 Busin... Previous Problem Problem List Next Problem Problem 6 (1 point) The owner of a used tire store wants to construct a fence to enclose a rectangular outdoor storage area adjacent to the store, using part of the side of the store for part of one of the sides. There are 450 feet of fencing available to enclose the remaining three sides. Find the length of the sides parallel to the store and perpendicular that will maximize the total area of the outdoor enclosure. Length of parallel side(s) : 0 Length of perpendicular sides : C] Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 1 time. Your overall recorded score is 0%. You have unlimited attempts remaining. Email Instructor Page generated at 11:22J2023 at OQiOSDm EST @ E Stream Courses Calendar More 9105 (course MATH 132-c03 Busin... Previous Problem Problem List Next Problem FWUIEInO (1 point) You want to build a rectangular garden. The fence on the north costs 5 $/ft, on the west costs 1 $lft, on the south costs 1 $[ft, and on the east costs 3 $/ft. For tax reasons, you have 425 to spend, and you want to build the garden with the largest possible area. 1. Write down an expression that gives the cost of a garden of dimension 3'. feet wide, and yfeet tall. Cost: 5y+x+y+3x 2. Which quantity must be Optimized? Write a function for it as a function of 2:. Are you trying to maximize or minimize this quantity? We want to Maximize c the function Area 0 = 1. Find the critical values with a: 2 0. If there are more than one critical numbers, enter your answer as a comma separated list. 425 8 2. What are the dimensions that optimize the desired quantity? 42E" m: 8) andy= 35.42 @ E Stream Courses Calendar More
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