The company Smart Inc. is a company that produces Dog Shampoo in Toronto area. The results of the company, which has been mediocre for the past couple of years, have been presented in the annual financial statement.

Sales $(80000$ units x $18$$$)1440000$$

Fixed Costs $(600000)$

Variable Costs $(80000$ units x $10$$$)(800000)$

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Annual Profit $($loss$)(40000)$

According to the experts, the loss has been the results of the poor performance of the equipment in the factory. They suggest to the board of directors to replace the old equipment by a new one.

Considering following information, the board of directors asks you to evaluate this project for the company.

$$ The new equipment would double the level of production and allow the company to avoid this loss entirely. The purchase $($including the installation$)$ of the new equipment requires an initial investment for an amount of $2500000$$$.$ The old equipment can be sold in the beginning of project on the market for $500000$$ $($For simplification, consider this amount as an exchange value$).$

$$ The new equipment will be sold for $400000$$ in $10$ years $($end of project$).$ The project also requires major renovations of the factory building for a total amount of $100000$$ $($The amount of major renovations is depreciable with declining method under the tax law$).$

$$ The company also has to build a new building at the beginning of the project for an amount of $240000$$ which will be sold at the end of the project for $320000$$$.$ This amount is depreciable with declining method.

$$ The project also requires an additional investment in new Computers and furniture for a total amount of $150000$$ in the beginning of project. Computers and furniture have no salvage value.

$$ At the present time, Smart Inc. is renting a warehouse for the annual rent of $50000$$ $($paid at the end of year$).$ If the company undertakes the new project, they will need to cancel the lease of the old warehouse and to rent a larger warehouse for the annual rent of $100000$$ $($to be paid annually at the end of each year$).$

$$ The project also requires $2$ new technicians today with annual salary of $60000$$ for each.

$$ Given the performance of new equipment, Smart Inc could lay off $20$ employees whose annual salaries is $40000$$$.$ The lay$-$offs will oblige the company to pay lay$-$off premiums for the total amount of $10000$$ to each employee which will be tax deductible.

The corporate tax rate is at $40\%.$ The new equipment is in the category of CCA with depreciation rate of $20\%,$ the major renovations are depreciated at $25\%,$ the new building is depreciated at $10\%,$ these items are depreciate with decreasing $($declining$)$ method. The computers and furniture are depreciated by linear method at $10\%.$ Investors require $12\%$ return on this type of project. Given this information, answer the following questions

Expressed in formula form, thank you. Calculate the maximum price that the company can pay for the new equipment $($including installation$)$ to keep the project profitable