Assume the current price of Zoom stock is $280, and one-month call option on Zoom stock with a strike price of $285 current sells for $2. Assume the contract size of one call option contract is 1 share. You expect the price of this stock will increase in the next month. You want to invest $2800 and try to decide between two strategies:

(a) buy stock itself vs.

(b) buy call options of this stock.

Please find out the stock price range in one month, such that your strategy

(a) would provide you a higher profit than strategy

(b). Show your detail calculation