QUESTION 30 Solve the problem. Find two numbers whose sum is 350 and whose product is as large as possible. O 174 and 176 10 and 340 O 175 and 175 O 1 and 349 QUESTION 31 Solve the problem. Find two numbers x and y such that their sum is 60 and x 2y is maximized. O x = 40, y = 20 O x = 45, y = 15 O x = 20, y = 40 O x = 15, y = 45 QUESTION 32 Solve the problem. Of all numbers whose difference is 6, find the two that have the minimum product. O 0 and 6 O 12 and 6 O 3 and -3 O 1 and 7 QUESTION 33 Solve the problem. Maximize Q = xy 2, where x and y are positive numbers, such that x + y 2 = 9. O x= 15 y= O X = zy=1/Z O x = 1, y= 4/s O x = 0, y = 3 QUESTION 34 Solve the problem. From a thin piece of cardboard 20 in. by 20 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary. 13.3 in. x 13.3 in. x 6.7 in.; 1185.2 in3 13.3 in. x 13.3 in. x 3.3 in.; 592.6 in3 O 6.7 in. x 6.7 in. x 6.7 in.; 296.3 in3 10 in. x 10 in. x 5 in.; 500 in3