Assignment #3: Calculating Profitable Input Use The data for this assignment come from agronomic research trials conducted at Milan, Tennessee, during 2006 to 2011. They cover corn yield in response to nitrogen fertilizer for two cropping systems Corn after Corn (CC) and Corn after Soybean (CS). Units of measure for nitrogen fertilizer are pounds per acre (lbs/ac), and units for.corn yield are bushels per acre (bu/ac). Corn after Corn (CC): Ycc = 39+0.96N -0.0019N2 Corn after Soybean (CS): Ycs = 70+0.99N -0.002112 In the rest of the homework, . . If your last name begins with the letter A to N, use the CC yield function. If your last name begins with the letter N to Z, use the CS yield function. 1. (10) Describe in words what the yield function equation is saying. Be clear about units of measure. What is the general shape of this function? 2. Using the appropriate data set above. a. (10) Calculate the marginal physical product of nitrogen fertilizer. (Show work) b. (10) Explain clearly what exactly this marginal physical product means c. (10) Calculate the rate of N fertilizer that would maximize corn yield (N ). Round off corn yield to the nearest whole bushel per acre. (Show your work for partial credit.) d. (5) What is the predicted corn yield that results from applying this rate of N fertilizer? Assignment #3: Calculating Profitable Input Use The data for this assignment come from agronomic research trials conducted at Milan, Tennessee, during 2006 to 2011. They cover corn yield in response to nitrogen fertilizer for two cropping systems Corn after Corn (CC) and Corn after Soybean (CS). Units of measure for nitrogen fertilizer are pounds per acre (lbs/ac), and units for.corn yield are bushels per acre (bu/ac). Corn after Corn (CC): Ycc = 39+0.96N -0.0019N2 Corn after Soybean (CS): Ycs = 70+0.99N -0.002112 In the rest of the homework, . . If your last name begins with the letter A to N, use the CC yield function. If your last name begins with the letter N to Z, use the CS yield function. 1. (10) Describe in words what the yield function equation is saying. Be clear about units of measure. What is the general shape of this function? 2. Using the appropriate data set above. a. (10) Calculate the marginal physical product of nitrogen fertilizer. (Show work) b. (10) Explain clearly what exactly this marginal physical product means c. (10) Calculate the rate of N fertilizer that would maximize corn yield (N ). Round off corn yield to the nearest whole bushel per acre. (Show your work for partial credit.) d. (5) What is the predicted corn yield that results from applying this rate of N fertilizer
