You are contemplating the purchase of a one$-$half interest in a corporate airplane to facilitate the expansion of your business into two new geographic areas. The acquisition would eliminate about $$220,000$ in annual expenditures for commercial flights, mileage reimbursements, rental cars, and hotels for each of the next $10$ years. The total purchase price for the $(1)/(2)$ share is $$6$ million, plus associated annual operating costs of $$100,000.$ Assume the plane can be fully depreciated, on a straight$-$line basis, for tax purposes over the next $10$ years. The company$$s weighted average cost of capital $($WACC$)$ is $8\%,$ and its corporate tax rate is $40\%.($a$)$ Does this endeavour present a positive net present value $($NPV$)?($b$)$ If positive, how much value is being created for the company through the purchase of this asset? If negative, what additional cash flows are needed for the NPV to equal zero?