You have been hired as a capital budgeting analyst by a sporting goods firm that manufactures athletc shoes and has captured $10\%$ of the overall shoe mar$-$ket. $($The tors paured $109$o h $$100$ million a year$)$ The fixed cos nasket is wwith manufacturing thes shoes is $82$ million a year, and variable costs are $40\%$ of revenues. The company's tax rate is $40\%.$ The firm believes that it can increase its market share to $20\%$ by investing $$10$ million in a new distribution system $($which can be depreciated over the system's life of $10$ years to a salvage value of zero$)$ and spending $$1$ million a year in additional advertising. The company proposes to continue to maintain working capital at $10\%$ of annual revenues.a$.$ What is the initial investment for this project?b$.$ What is the annual after$-$tax cash flow from this project?