Jimson Corporation conducted a market study using two different prices for their product and determined that at $$33$ a unit they would sell $49,000$ units a year. However, if they priced the units at $$30$ they would sell $56,000$ units a year. Fixed costs are $$275,000$ and variable costs are $$19$ a unit. How much profit will Jimson Corporation make if they select the best option?

$$341,000$

$$411,000$

$$578,616$

$$351,943$

$$617,904$