Summer Electronics produces two kinds of audio headsets. The first kind is called HFM which is a monitor headset. The other kind is called ADZ which is a gaming headset. Summer Electronics needs to determine its monthly production quantities for HFM headsets and ADZ headsets to get the maximized total monthly profit.

Each HFM headset requires 2 standard drivers and 2 woofer drivers. Each ADZ requires only 2 standard drivers. Each ADZ also requires one mic installed for gaming communication while HFM does not use any mic at all. Each month Summer Electronics has 1000 standard drivers, 800 woofer drivers, and 290 mics available.

In order to maintain its premium brand status, Summer Electronics inspects each of its manufactured headsets thoroughly before packaging and sales. It takes 10 minutes to inspect each HFM and 30 minutes to inspect each ADZ. Currently Summer Electronics has an inspection team that can offer 9000 inspection minutes per month.

Due to its strong marketing team, all manufactured HFM and ADZ headsets are sold. According to its accounting department, each HFM can bring in $50 of profit and each ADZ can bring in $75 of profit.

Formulate this problem as a linear program and solve graphically for the optimal solution. Describe the optimal solution. What is the profit generated by using the above optimal solution?

After you finish with this problem, you received a memo from the accounting department. According to the accountant, the revised unit profit is $20 for HFM and $80 for ADZ based on the new marketing information.

What will be your modified optimal solution based on the information from the accountant and what is the modified profit?