QUESTION 4 A cylindrical metal container, open at the top, is to have a capacity of 100Fin3- The cost of material used for the bottom of the container is $0.25/in2, and the cost of the material used for the curved part is $0.15/in2- Find the dimensions that will minimize the cost of the material, and nd the minimum cost. As your answer please input the value of the minimum cost in decimal form with three signicant digits after the decimal point. QUESTION 5 Find two positive numbers such that the sum of the rst and twice the second is 120 and their product is a maximum. As your answer please input the maximal value of the product. QUESTION 6 A rancher has wants to fence 6, 000 square meters of pasture in a rectangular plot along a straight river. The plot will be divided into 4 subplots of equal size (see Figure below)- No fence is required along the river thus only three sides of the perimeter and three partitions require fence. What are the dimensions of the rectangular plot that will require the least amount of fence? As your answer please input the sum of the dimensions of the rectangular plot that will require the least amount of fence in decimal form with three signicant digits after the decimal point