A business has a market share of $20\%$ and it competes in a market where the total market demand is $300,000$ units. The price per unit and variable cost per unit are $$25$ and $$10,$ respectively. If the net marketing contribution of the business is $$450,000,$ and the operating income of the business is $$350,000,$ calculate the total marketing and sales expenses incurred by the business.

$$250,000$

$$160,000$

$$550,000$

$$300,000$

$$450,000$