You both agree $2/hour is an acceptable wage
Until someone else comes along and offers $1.50 an hour. Then the next guy offers $1, and so on, racing to the bottom. Now the government is still footing the $7.25/hour bill for the company to have an unskilled workforce at $0.01/hour of payroll expenses. The workers don't care, because they still see $7.26/hour income to sit and play games.
Since the company's able to hire so cheap, they bring in a hundred such workers to boost their employment numbers. Having 150 employees rather than 10 lets the company seem more important. Sure, there's some overhead expense, but it's easily paid for by the huge payroll savings.
Now the government is paying for a huge workforce of unskilled and unproductive labor. They're not producing much, so the taxable economy isn't increasing at all, and of course the tax rate isn't going to be 100%, so there is no way for the government to actually afford to pay its guaranteed wage.
Taking another perspective, your plan essentially gives every employer a $7.25/hour/employee tax credit, with no defined mechanism to recoup the losses.
Even if the employer companies are more productive because of their huge workforce, the government only sees a percentage of the value the employees produce. If the government supports the answering-machine employee at $7.25/hour, will the employee be productive enough (through improving the company's sales) that the government would get $7.25/hour more in taxes from the company? That's a pretty tall order for a phone operator. Considering an (overestimated) corporate tax rate of 50%, the employee would need to single-handedly earn $14.50/hour for the company before the government would break even, $7.24 of which goes to the company's after-tax income.
It's a pretty straightforward government subsidy supporting corporations.