A portfolio is short 1000 call options on stock A with delta = .5 and gamma = 1 and short 500 call options on the stock A with delta = .6 and gamma = 2. A third option had delta = .2 and gamma = 1.

a. What is the delta of the portfolio

b. What is the gamma of the portfolio?

c. What position in the third option will make the portfolio gamma neutral?

d. What position in stock A will then make the portfolio delta and gamma neutral?