Derivatives Question

In practice, even without maturity and underlying mismatch, hedging using futures does not always require a one-to-one hedge ratio. Tailing factor needs to be considered. Suppose the current spot price is $3. With 50 percent of the probability, the spot price will increase or decrease by 1 dollar for each year as shown in the graph below. If the annual discrete compounding risk-free rate is 10%, and the cost of carry offsets the convenience yield exactly, then what is your hedging strategy?