$($Estimated time allowance: $5$ minutes$)$ CCC$-$A is currently selling $10,000$ phones a year at a price of $$400.$ The variable costs is $$100$ per phone. The company is introducing a higher$-$priced phone at a price of $$800$ and it costs the company $$300$ to produce it$.$ It is estimated that the annual sales for this higher$-$priced phone would be $5,000$ units. It is estimated that the sales of the existing phone will go up by $500$ units a year with the introduction of this new higher$-$priced phone. What is the value of the synergies from the new phone?

There is no synergy gains

$$250,000$

$$150,000$

$$400,000$

$$200,000$