Can you help me with this case study and answer the questions as if you are a strategic management college professor teaching a masters class and explaining the study by sharing the formula you used to answer the question? When you are calculating the answer please use these rules, you must show your work within the solution and when using intermediate decimal calculations which require rounding, please use this rule for maximum accuracy of your final answer: intermediate calculations should be rounded to as many decimal places as there are digits in your underlying data. For example, if your data is in the ten millions $(10,000,000)$ you should round intermediate calculations to eight decimal places. If your data is in the ten thousands $(10,000)$ you should round intermediate calculations to $5$ decimal places. Final answers should be rounded to the nearest cent $($if the answer does not come out as an even dollar amount$).$ lastly, please use this approach: Treat Req. $1$ and Req. $2$ independently. For Req. $1$ Calculate the yearly cash flows $($including tax effects$)$ from only the sales of smoke detectors. For Req. $2$ Determine the present values of your results from Req. $1$ and combine those present values with the present values of the remaining cash flow items in the case to determine NPV$.$ Here's the case study and questions: Englewood Company has an opportunity to produce and sell a revolutionary new smoke detector for homes. To determine whether this would be a profitable venture, the company has gathered the following data on probable costs and market potential: a$.$ New equipment would have to be acquired to produce the smoke detector. The equipment would cost $$100,000$ and be useable for $12$ years. After $12$ years, it would have a salvage value equal to $10\%$ of the original cost. b$.$ Production and sales of the smoke detector would require a working capital investment of $$40,000$ to finance accounts receivable, inventories, and day$-$to$-$day cash needs. This working capital would be released for use elsewhere after $12$ years. c$.$ An extensive marketing study projects sales in units over the next $12$ years as follows: Year Sales in Units $1................4,0002................7,0003................10,0004-12............12,000$ d$.$ The smoke detectors would sell for $$45$ each; variable costs for production, administration, and sales would be $$25$ per unit. e$.$ To gain entry into the market, the company would have to advertise heavily in the early years of sales. The advertising program follows: Amount of Yearly Year Advertising $1-2.............$ $$70,0003...............$ $$50,0004-12...........$ $$40,000$ f$.$ Other fixed costs for salaries, insurance, maintenance, and straight$-$line depreciation on equipment would total $$127,500$ per year. $($Depreciation is based on cost less salvage value.$)$ g$.$ The company$$s required rate of return and tax rate are both $20\%.$ Required: $1.$ Compute the net cash inflow $($cash receipts less yearly cash operating expenses$)$ anticipated from the sale of the smoke detectors for each year over the next $12$ years. $2.$ Using the data computed in $(1)$ above and other data provided in the problem, determine the net present value of the proposed investment. Would you recommend that Englewood Company accept the smoke detector as a new product?