Answer: (10 1/2) Months or 10.5 Months
Hence, in Ten and a half (10 1/2) Months, The Company will recover its investment in Program X.
Explanation:
Divide the savings in each month. (Twelve Months (12) in a year) by yearly savings to the company (C) from Praogram X that is equal to $40,000
40000 / 12 = 10000 / 3
= 3333.33333
35000 / 40000 = .875
= 7/8
= 0.875
0 .875 * 12 = 10 1/2 or 10.5 Months
Hence, In 10 1/2 or 10.5 Months, The Company will recover its investment in Program X.
I hope this helps you!