The following table gives data on monthly changes in the spot price and the futures price for a certain commodity. The total asset value is $1 million, and each contract is for 1,000 units with $40 per unit. Use the data to calculate a minimum variance hedge ratio and an optimal number of contracts.

Spot Price Change	0.5	0.61	0.22	0.35	0.79	0.04	0.15	0.7	0.51	0.41
Futures Price Change	0.56	0.63	0.12	0.44	0.6	0.06	0.01	0.8	0.56	0.46