Except 1,7 I need any 4 1.2.4.3.A farmer has 80 feet of fencing to enclose three sides of a rectangular plot of land (the fourth sidehas an existing stone partition). What dimensions for the rectangular plot will enclose themaximum area? (answer: 20¹x40¹)5.6.7.8.The product of two positive numbers is 363. Minimize the sum of the first and three times thesecond. (answer: 33 and 11)9.The management of a large store wishes to add a fenced-in rectangular storage yard of 20,000 sq.ft., using the building as one side of the yard. Find the minimum amount of fencing that must beused to enclose the remaining 3 sides of the yard. (answer: 400¹)An open box is to be made from a rectangular piece of material by cutting equal squares from eachcorner and turning up the sides. Find the dimensions of the box of maximum volume if thematerial has dimensions 6 inches by 6 inches. (answer: 4" x 4" x 1")An open box is to be made from a 16" by 30" piece of cardboard by cutting out squares of equalsize from the four corners and bending up the sides. What size should the squares be to obtain abox with largest possible volume? (Answer: 10/3")An offshore oil well is located in the ocean at point W, which is 5 milesfrom the closest shorepoint A an a straight shoreline. The oil is to bepiped to a shorepoint B that is 8 miles from A by piping it on a straightline under water from W to some shorepoint P between A and B andthen on to B via a pipe along the shoreline. If the cost of laying the pipeis $100,000 per mile under water and $75,000 per mile over land, whereshould the point P be located to minimize the cost of laying the pipe?(Answer: approx 5.67 miles from A)Find the point on the graph of the function that is closest to the given point:f(x)=x², (2, 1)(Answer: (1,1))The sum of the first number and twice the second number is 108 and the product is a maximum.Find two positive numbers that satisfy this requirement. (Answer: 27 and 54)A rancher has 400' of fencing with which to enclose two adjacentrectangular corrals. What dimensions should be used so that theenclosed area will be a maximum? (Answer: 50' x 200/3')8KM10. A Norman window is constructed by adjoining a semicircleon the top of an ordinary rectangular window. Find thedimensions of the Norman window of maximum areif the total perimeter is 16 feet. (Answer: 32 x 16')4+π 4+πSKM

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2. 2 The management of a large store wishes to add a fenced-in rectangular storage yard of 20,000 sq. ft., using the building as one side of the yard. Find the minimum amount of fencing that must be used to enclose the remaining 3 sides of the yard. (answer: 400") A formar bog 90 fact of famain 201