You work for an agricultural extension office in an area of a developing country where medium-sized farms grow soybeans and corn. You have data on a large number of these farms. X is the number of acres of soybeans planted by the farm. Y is the number of pounds of corn sold by the farm. You want to write a bulletin to help the farmers of the area budget for the upcoming season. The key variables are W = net revenue from soybeans and Z = net revenue from corn. for a farm. Your first step is to model last year's values of net revenue (last year's values of W and Z). In your data from last year, the mean number of acres of soybeans was 100 and the standard deviation was 10. The mean number of pounds of corn sold was 112,000 and the standard deviation was 5.000. The covariance between the number of acres of soybeans and the number of pounds of corn was 12,500. Assume that when a farmer grows soybeans, the yield is 40 bushels per acre of soybeans planted. Last year, the price a farmer received was 9 dollars per bushel of soybeans. You also have to account tor variable costs of 200 dollars per acre of soybeans {tor seed and fertilizer). Finally, a soybean farmer has xed costs of 7,000 dollars related to growing soybeans for a year (regardless of how many acres of soybeans the farmer plants). Last year. the price a farmer received for corn was 3.5 dollars per bushel of corn [and there are 56 pounds of corn in a bushel). A farmer's xed costs of growing corn fora year were 1,500 dollars [regardless of how many pounds of com the farmer sold). This is the rst of seven questions in this set. Give the values of the following: Mean ofW Question 7 Correlation between X and Y (use two decimals)