Determining a linear equation system:

Assume that the amount x denotes the after-tax profit. It is given that the company earns a profit of $60,000.

Also, it is given that the company pays employees a bonus equal to 5% of after-tax profits. Thus, Bonus is as follows:

5100×x=0.05x

So, the residue amount after deducting bonus is =(60000−0.05x).

Also, the state tax is 5% of profits after the bonuses are paid.

Thus, the state tax is =0.05×(60000−0.05x).

So, the residue amount after deducting bonus, state tax is =60000−[0.05×(60000−0.05x)+(60000−0.05x)]

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Operations Research : Applications and Algorithms

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Solution Summary: The author explains the linear equations to find out bonus, state tax, and federal tax. The company earns a profit of 60,000 and pays employees bonuses equal to 5% of after-tax

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