only need part $($c$)$

If the option will cost the investor an additional $$10,000,$ should the investor purchase the option? Why or why not? What is the maximum $($in dollars$)$ that the investor should be willing to pay for the option?

The investor $---$ Select$--vv$ purchase this option, as the payoff of the investing in it is $---$ Select$---V$$$10,000$ dollars. In general, the cost of the option can be$,$ at most, $