Answer:
Option B
Explanation:
The computation of the present value is shown below:
For Option A
Year Cash flows Discount factor at 10% Present value
0 -$31,000 1.0000 -$31,000.00
1 -$1,800 0.9091 -$1,636.36
2 -$1,800 0.8264 -$1,487.60
3 -$1,800 0.7513 -$1,352.37
Total -$35,476.33
For Option B
Year Cash flows Discount factor at 10% Present value
0 -$12,000 1.0000 -$12,000.00
1 -$4,700 0.9091 -$4,272.73
2 -$3,700 0.8264 -$3,057.85
3 -$2,700 0.7513 -$2,028.55
Total -$21,359.13
As we can see that the present value for option B is less than the option A so the option B should be selected