Question: Hi, I have a question for which the answer is provided but I don't know how it is derived, could you help to explain it

Hi, I have a question for which the answer is provided but I don't know how it is derived, could you help to explain it step by step please?

Thank you in advance!

The frangle industry is a monopoly, with a demand curve 10D - p, where p is the price of frangles. It takes one unit of labor and no other inputs to produce a frangle. The Frangle-Makers Guild is a strong union. The guild sets a wage and prevents anyone from working for less than that wage. The frangle monopoly must pay that wage but can hire as much labor as it chooses to. If the guild chooses a wage so as to maximize the total earnings {wage times number of units of labor hired] of frangle makers. then the price of frangles will be $50. ; the wage will be $511}. the wage rate will be $25. the price of frangles will equal the wage rate. the price of frangles will be $25

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