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140 EXAMPLE 13.7-14 The director of finance for a farm cooperative is concerned about the yield per acre she can expect from this year's com
140 EXAMPLE 13.7-14 The director of finance for a farm cooperative is concerned about the yield per acre she can expect from this year's com crop. The probability distribution of the yields for the current weather conditions is given below: Yield in kg per acre Probability 120 0.18 0.26 160 0.44 180 0.12 She would like to see a simulation of the yield she might expect over the next 10 years for weather conditions similar to those she is now experiencing. Simulate the average yield she might expect per acre using the following random numbers: 20, 72, 34, 54, 30, 22, 48, 74, 76,02 She is also interested in the effect of market price fluctuations on the cooperative's farm revenue. She makes this estimate of per kg prices for corn: Price per kg ) Probability 2.00 0.05 2.10 010348 2.20 2.30 0.25 2.40 0.15 2.50 0.10 (a) Simulate the price she might expect to observe over the next 10 years using the following random numbers: 82. 95. 18, 96, 20. 84, 56, 11. 52. 03. () Assuming that prices are independent of yields, combine these two into the revenue per acre and also find out the average revenue per acre she might expect every year. 0.30 19911
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