Piease answer these word probiems invoiving optimization. Write a detailed and step-by-step soiution. ! A. Number Probiem (limit it to sum and product of positive numbers} The product of two positive numbers is 75. What are the numbers if the sum of the first number and three times the second number is a minimum? 5. Area and Perimeter James, aftervolunteering at his local farm, was requested by the owner to build a rectangular pen for his flock of sheep. He was provided 610 feet of fencing materials and was ordered to construct it nextto or bounded on one side of a barn. What should the dimensions ofthe pen be to maximize the area? C. Surface Area and Voiume An online seller named Lei uses an open box for her product packaging. The open box is to be constructed from a rectangular piece of cardboard measuring 8 by 5 inches by cutting out same sized squares from each corner and folding up the sides. How large or what size should the squares be cut out to produce the maximum volume of the box