ALL ANSWERS MUST HAVE $4$ DECIMAL PLACES. THANK YOU!

e$25.$A company is launching a new sales initiative and expects sales of $$633,704$ during the first year. To prepare for this, they plan to acquire $36$ days worth of inventory. If their gross profit margin is $17\%,$ how much inventory must they acquire as part of their initial investment?

$29.$A company is considering a project which will last $9$ years. At the end of year $9,$ they plan to sell the equipment involved for $$7,223$ after taxes and halt the activities involved in the project. Net working capital being used by the project has a total balance of $$18,967$ and the final year of the project will generate $$163,655$ revenue and operating income of $$92,907.$ Depreciation expense in the final year will be $$5,466.$ The company is subject to a $24\%$ tax rate. What will be the free cash flow for year $9?$

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$30$A company is planning a project expected to last $7$ years. At the end of year $7,$ they will sell the equipment involved for $$11,137$ but, after taxes $(25\%$ of the gain involved$),$ the net proceeds of the sale will be only $$8,296.$ If there were no other elements to consider, how much would free cash flow be for year $7?$

$31.$A company is considering a project which will last $5$ years. At the end of year $5,$ they plan to sell the equipment involved for $$5,610$ after taxes and halt the activities involved in the project. Net working capital being used by the project has a total balance of $$2,103$ and the final year of the project will generate $$85,228$ revenue and operating income of $$12,996.$ Depreciation expense in the final year will be $$5,323.$ The company is subject to a $24\%$ tax rate. What will be the free cash flow for year $5?$