Suppose today is December $15,2010.$ You decide to buy a $2$:$1$ January Ratio Call Spread on Google stock. Specifically,$$ you buy one call on Google with strike $$570$ and premium $$35\mathrm{.}55,$ and$$ you write two calls on Google with strike $$600$ and premium $$19.$All options are European and mature on January $15,2011.($a$)$ What is the net premium that you collect$/$pay in December?$($b$)$ What are the cash flows of this strategy in January?