Suppose a company takes a long position in 20 December oil futures contracts on June 8 when the futures price is $58. It closes out its position on November 10. The spot price and futures price at this time are $65 and $62. The company is hedging 20,000 barrels, and uses a hedge ratio of 0.8. Each contract is for 1,000 bbl. Q1: How many futures contracts should the firm hedge

Oz makes lion food out of giraffe and gazelle meat. giraffe meat has 18 grams of protein and 36 grams of fat per pound, while gazelle meat has 36 grams of protein and 18 grams of fat per pound. a batch of lion food must contain at least "46,800" grams of protein and 70,200 grams of fat. giraffe meat costs $1/pound and gazelle meat costs $2/pound. how many pounds of each should go into each batch of lion food in order to minimize costs? hint [see example 2.]