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

$23.$A company is launching a new sales initiative and expects sales of $$772,229$ during the first year, and the gross profit margin to be $22\%.$ To prepare for this, they plan to acquire $56$ days worth of inventory. Their vendor will allow $44$ days to pay its invoices. The company plans to sell only on account to its customers, so sales will be entirely credit based, and the average invoice is expected to take $33$ days to collect.

The company expects sales, costs and net working capital to grow $4\mathrm{.}3\%$ per year. At the end of $7$ years, how much will be the total net working capital invested?

$24.$A retailer plans to begin selling a new product and expects sales of $$1,810,330$ during the first year, and the gross profit margin to be $26\%.$ To prepare for this, they plan to acquire $40$ days worth of inventory. Their vendor will allow $10$ days to pay its invoices. The company does not sell on account, so sales will be entirely cash based.$$What amount of net working capital should be included in the initial investment?

$25.$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?

$26.$A project proposal includes the following information:

$*$ To begin, the project will require $$779,694$ in equipment

$*$ Before using the equipment, employees will require training, which will cost $$152,081$ and is considered to be a cash operating expense

$*$ The company faces a $27\%$ tax rate

$*$ $$55,740$ worth of net working capital will also be required to launch the project

What is the initial cash flow for this scenario $($i$.$e$.,$ what is the free cash flow expected for moment zero$)?$

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$27.$A project proposal includes the following information:

$*$ To begin, the project will require $$445,604$ in equipment

$*$ Before using the equipment, employees will require training, which will cost $$22,520$ and is considered to be a cash operating expense

$*$ The company faces a $28\%$ tax rate

$*$ $$6,923$ worth of net working capital will also be required to launch the project

What is the initial cash flow for this scenario $($i$.$e$.,$ what is the free cash flow expected for moment zero$)?$

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$28.$A project proposal includes the following information:

$*$ To begin, the project will require equipment with a $$992750$capitalized cost

$*$ The project also requires an investment of $$35783$in net working capital

Assuming a$24\%$ tax rate and that there are no other costs to launch this project, what is the initial cash flow for this scenario $($i$.$e$.,$ what is the free cash flow expected for moment zero$)?$

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$29.$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 $5?$