1.Farm Grown, Inc. produces boxes of perishable goods. Each box contains a variety of vegetables and other agricultural products. Each box costs $ 10 and sells for $ 15. If there are boxes that don't sell at the end of the day, they are sold to a large food processing company for $ 3. It is known that the daily demand can be 100, 200 or 300 boxes, with probability 0.3, 0.4, and 0.3 respectively. 1.1 How many states of nature are there? 1.2 How many possible actions does Fram Grown have? 1.3 For the case where the demand and production of Farm Grown coincide in 100 boxes, what is the profit (or loss) of the company?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1.Farm Grown, Inc. produces boxes of perishable goods. Each box contains a variety of vegetables and other agricultural products. Each box costs $ 10 and sells for $ 15. If there are boxes that don't sell at the end of the day, they are sold to a large food processing company for $ 3. It is known that the daily demand can be 100, 200 or 300 boxes, with probability 0.3, 0.4, and 0.3 respectively. 1.1 How many states of nature are there? 1.2 How many possible actions does Fram Grown have? 1.3 For the case where the demand and production of Farm Grown coincide in 100 boxes, what is the profit (or loss) of the company? 1.4 For In the case where the demand is 100 boxes and the Farm Grown production is 200, what is the profit (or loss) of the company? 1.5 Using the criterion of repentance (opportunity cost), how many boxes should Farm Grown buy?

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