Yellow Stone Ltd has made an initial investment of R$500000$ in a new project. The firm$$s cost of capital is $12\%.$ The investment is expected to generate the following cash inflows over the next five years:

Year $1$: R $50000$

Year $2$: R $60000$

Year $3$: R$150000$

Year $4$: R$140000$

Year $5$: R$300000$

The NPV is $...$; therefore, the investment should $...$

a$.$

$-$R$82567$; not be undertaken.

b$.$

R$41558$; be undertaken.

c$.$

$-$R$41558$; not be undertaken.

d$.$

R$82567$; be undertaken.