[Financial Forecasting/CF estimation/Valuation] The Sisyphean Corporation is considering investing in a new cane manufacturing machine that has an estimated life of three years. The cost of the machine is $30,000 and the machine will be depreciated straight line over its three-year life to a residual value of $0.

The cane manufacturing machine will result in sales of 2500 canes in year 1. Sales are estimated to grow by 9% each year through year 3. The price per cane that Sisyphean will charge its customers is $16 each and is to remain constant. The canes have a cost per unit to manufacture of $10 each.Installation of the machine and the resulting increase in manufacturing capacity will require an increase in various net working capital accounts. It is estimated that the Sisyphean Corporation needs to hold 3% of its annual sales in cash, 5% of its annual sales in accounts receivable, 10% of its annual sales in inventory, and 5% of its annual sales in accounts payable. The firm is in the 35% tax bracket and has a cost of capital of 9%. a) What is the change in net working capital from year 1 to year 2? b) What is the NPV of investing in the new cane manufacturing machine (For simplicity, only consider the annual changes in net working capital during year 1 to year 3)