It is January $2$nd and senior management of Chester meets to determine their investment plan for the year. They decide to fully fund a plant and equipment purchase by issuing $75,000$ shares of stock plus a new bond issue. Assume the stock can be issued at yesterday$$s stock price $($$$30\mathrm{.}75)$ and leverage changes to $2\mathrm{.}7.$ Which of the following statements are true? Select all that apply.

Select : $3$

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The total investment for Chester will be $$18,322,362$

Total liabilities will be $$136,993,100$

Chester will issue stock totaling $$2,306,250$

Total assets will rise to $$212,309,426$

Working capital will remain the same at $$12,851,134$