You have been hired as a capital budgeting analyst by a sporting goods firm that manufactures athletic shoes and has captured $10\%$ of the overall shoe market $($the total market is worth $$100$ million a year$).$ The fixed costs associated with manufacturing these shoes are $$2$ 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. The discount rate to be used for this project is $8\%.$

How much would the firm$$s market share would have to increase for you to be indifferent to taking or rejecting this project? Please answer in terms of percent increase