Final answer:
To maximize profits, Simon should calculate his production capacity and market demand for his solutions, ensuring he works sufficient hours to cover his wage and meet demand without oversupply.
Step-by-step explanation:
The question at hand involves determining the number of hours Simon should work each week to maximize profits for his solutions which are valued at $50 each, while he pays himself $525 per week. Without additional information on how many solutions Simon can produce per hour or the total number of hours available for work, we can't provide an exact number of hours to maximize profits. However, we can suggest that Simon should assess both his production capacity (how many solutions he can make in an hour) and market demand for his solutions to estimate the optimal work hours. He should aim to work enough hours to cover his weekly wage and produce enough solutions to meet demand without oversupplying, which could lead to reduced profitability.