The owner of a cattle ranch would like to fence in a rectangular area of 500000 m and then divide it in half with a fence down the middle. What is the minimum amount of fencing that the rancher must use? Answer: m Find two positive numbers whose product is 100 and whose sum is a minimum. List them in non-decreasing order. Answer: Note: Separate the answers by a comma. The manager of a large apartment complex knows from experience that 100 units will be occupied if the rent is 392 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 7 dollar increase in rent. Similarly, one additional unit will be occupied for each 7 dollar decrease in rent. What rent should the manager charge to maximize revenue? Answer: $ [Recall: Revenue is the product of price per unit and number of units rented.] A rectangular box with an open top has a square bottom and a volume of 256 m. Find the dimensions of the box that will result in it having the smallest possible surface area. Width of Box: m Height of Box: m Find the most general antiderivative F of F(x) = NOTE: Don't forget the constant in your answer. f(x)=5x27x - 5.