3. A purchasing manager of a food company is worrying an increase in corn price will have a negative impact on the profit margin of the company in 3 months. Her analysis suggests that corns should be trading at 430 after 3 months. a. Should the manager go long or short for the future contract? (2 marks) b. A 3 months future contract is now trading at 390 (50,000 lb/contract; cents/lb). If her expectation was right, what is the percentage return on invested capital she would make if the initial margin is $15,000 per contract? (4 marks)