As a result of several mergers and acquisitions, stock in four companies has been distributed among the

companies. Each row of the following table gives the percentage of stock in the four companies that a

particular company owns and the annual net income of each company.

So company A holds $80\%$ of its own stock, $11\%$ of the stock in company B$,4\%$ of the stock in

company $C,$ etc. For the purpose of assessing a state tax on corporate income, the taxable income of

each company is defined to be its share of its own annual net income plus its share of the taxable

income of each of the other companies, as determined by the percentages in the table. What is the

taxable income of each company $($to the nearest thousand dollars$)?$

Use the variables $x_1$ to represent taxable income of company $A,x_2$ to represent taxable income

of company $B,x_3$ to represent taxable income of company $C,$ and $x_4$ to represent taxable

income of company $D,$ and write the system of equations that can be used to find all of the

taxable incomes in millions of dollars.

The equation that represents the calculation of company A$\text{'}$s taxable income is

The equation that represents the calculation of company B$\text{'}$s taxable income is $.$

The equation that represents the calculation of company C$\text{'}$s taxable income is

The equation that represents the calculation of company D$\text{'}$s taxable income is

$($Simplify your answers. Use integers or decimals for any numbers in the equations.$)$