Sophia operates her own accounting practice and is looking to hire two entry‑level accountants. A high‑productivity worker will generate $90,000 in revenue per year and a low‑productivity worker will generate $60,000. Tasia is a high‑productivity worker and wants a salary of at least $80,000. Rick is a low‑productivity worker and wants at least a $55,000 salary.It's more likely that Sophia can't tell who will be a high‑ or low-productivity worker from an interview. But based on her experience, she believes that 65% of workers are low productivity and 35% of workers are high productivity. Find the maximum salary that she would be willing to pay and determine who will accept her job offer. Does this change the maximum she is willing to pay for an accountant of unknown quality?The maximum salary that she would be willing to pay is ____In this case, (who) will accept her offer at that salary. Sophia will offer more only if (she finds a way to distinguish low- and high-productivity workers/ she cannot fill both positions)

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