Women with Gloves is a boxing club for women. The club manufactures all of its own punching bags out of high$-$quality leather and sand from Ipanema, one of Brazil's most beautiful beaches. The company is considering investing in a sand$-$refining machine to improve the quality of its punching bags. Details about the machine investment are as follows:

Cost of new machine

$$154,000$

The expected improvements from the new machine would allow for an increase in membership fees. The CFO expects cash flows from the investment in the first three years to be $$91,000,$ $$95,000,$ and $$105,000.$ The company is subject to a $35\%$ tax rate and has a required rate of return of $15\%$ for all investment projects.The CCA rate is $25\%$ and the disposal value of the machine is $$11,500.$Required:

$1.$ What is the total present value of the predicted cash inflows from the new machine?

$2.$What is the net present value of the investment?

$3.$ Is the investment profitable?