Call Options $(40$ Points$)$

You have sold a European call option for Stock ABC with the strike price of $$500,$ and the premium of this call

option is $$20.$ At the same time, you have also bought a European call option for Stock ABC with the strike price

of $$400,$ and the premium of this call option is $$30.$ Construct the payoff profile from this option strategy and

comment on the gains$/$losses limitedness$.($Hint: What are your profits when the market prices at maturity are

$$390,$$$400,$$$430,$$$500,$$$520,$ and $$550?)$