Math 2401 / Fall 2021 / 5 Midterm 2 (Take-Home. 30%) / Due on October 18 / Instructor Youn-Sha Chan Problem (9) (18 points) In following (o)-(f). Food two positive numbers that satisfy the given requirements. (a) The win is 100 and the product is a maximum. (b) The product is 185 and the sam is a minimum. (c) The product is 147 and the sum of the first number plus three times the second number Is a minimum (d) The second number is the reciprocal of the first number and the sam is a minimum. (e) The sum of the first number and twice the second number is 108 and the product is a maximum. (f) The sum of the first number squared and the second number is 54 and the product is a maximum