Just walk your way through it.
Profit From Sale: 150 - 75 = 75
Profit From No Sale: 0 - 75 = -75
Pr(Not Selling It) = ½^10 = q
Pr(Selling It) = 1 - q = p
Expected Profit: p*(75) + q*(-75)
Pr(Selling Zero) = ½^10 = q
Pr(Selling 1) = 10*½^10 = w
Pr(Selling Both) = 1 - (q+w) = p
Expected Profit: p*(150) + w*(0) + q*(-150)
You can keep wandering down the entire Binomial distribution (a nice spreadsheet makes this relatively simple) or you can determine a more direct way if you are REALLY paying attention.
Note: It is possible the right answer if greater than 10. I didn't really solve the problem, but I'd keep that in mind, just in case you need it.