Bill and Hillary produce food and clothing. In an hour, Bill can produce 1 unit of food or 1 unit of clothing, while Hillary can produce 2 units of food or 3 units of clothing. They each work 10 hours a day.

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. the seller announced that the highest bid in excess of $9,500 will be accepted. assume that the competitor's bid x is a random variable that is uniformly distributed between $9,500 and $15,500. suppose you bid $12,000. what is the probability that your bid will be accepted?