Assume That Call Options on Microsoft Stock with the Same

Assume that call options on Microsoft stock with the same exercise date in October are available with exercise prices $45, $55, and $65.Also assume that the price of the middle call were the average of the other two calls.Show that if you sell two of the middle calls and use the proceeds to buy one each of the other calls, your proceeds in October may be positive but cannot be negative despite the fact that your net outlay today is zero.What can you deduce from this example about option pricing?
Let X denote the exercise price:

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Notice that, if S is between 45 and 65 ...

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