Project NPV $($S$6\mathrm{.}3)$ A widget manufacturer currently $2$ a lid. The plant manager believes that it would be cheaper $$1\mathrm{.}50$ a lid. The necessary machinery would cost $$150,000$ and would last $10$ years. Thater e operation would require additional working capital of $$30,000$ but argues that this sum can be ignored since it is recoverable at the end of the $10$ years. If the company pays tax at a rate of $21\%$ and the opportunity cost of capital is $15\%,$ would you support the plant manager's proposal? State clearly any additional assumptions that you need to make.