Johnny$$s Lunches is considering purchasing a new, energy$-$efficient grill. The grill will cost $$49,000$ and will be depreciated straight$-$line over $3$ years. It will be sold for scrap metal after $5$ years for $$12,250.$ The grill will have no effect on revenues but will save Johnny$$s $$24,500$ in energy expenses. The tax rate is $30\%.$

Required:

a$.$ What are the operating cash flows in each year? Note: Do not round intermediate calculations. Round your answers to $2$ decimal places.

b$.$ What are the total cash flows in each year? Note: Negative amounts should be indicated with a minus sign. Do not round intermediate calculations. Round your answers to $2$ decimal places.

c$.$ Assuming the discount rate is $12\%,$ calculate the net present value $($NPV$)$ of the cash flow stream. Should the grill be purchased? Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.