A trader creates an option portfolio which consists of long 50 calls with a strike price of $40, short 100 calls with a strike price of $50, and long 50 calls with a stock price of $60. All these options are European options written on the same stock and have the same maturity. The option prices with strike prices of $40, $50, and $60 are $12, $6, and $5, respectively. a. The maximum net gain after the cost of the options is taken into account is $____________. (*Lets ignore the effect of interest.) b. The range of stock prices that the above strategy leads to a gain is between $____________ and $____________. (*Lets ignore the effect of interest.)