A project has the following cash flows: C$0=100,000$; C$1=50,000$; C$2=150,000$; C$3=100,000.$ If the discount rate changes from $12$ percent to $15$ percent, what is the CHANGE in the NPV of the project $($approximately$)?$

a$.12,750$ in crease

b$.12,750$ de crease

c$.14,240$ in crease

d$.14,240$ de crease