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 $84\%$ of its own stock, $10\%$ of the

stock in company B$,5\%$ 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 incom

of company $A,x_2$ to represent taxable income $0$

company $B,x_3$ to represent taxable income of

company $C,$ and $x_4$ to represent taxable income

company $D,$ and write the system of equations $t$

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 decimal

for any numbers in the equations.$)$