(10) X*i1 =[((P2fi)+(2diP1)/Py)-(2bidi+cifi)]/(fi2-4ciei)
(11) X*2i =[((P1fi)+(2ciP2)/Py)-(2cidi+bifi)]/(fi2-4ciei)
Substitute these optimal input rates into equations (7, 8, and 9), substitute the resulting optimal
yields into equation (2) to determine the net return for management zone i, do the same for each
management zone, and weight these net returns based on λi to get R*VRT . For URT, substitute
equations (7), (8), and (9) into equation (3) and set X1j= X2j = X3j = Xuj (j=1 and 2). Set the
derivative of the resulting field-average yield response function equal to Pj /PY and solve for
Xuj*. Substitute these optimal uniform input application rates into equation (3) and substitute the
resulting optimal field-average yield into equation (4) to get R *URT . Calculation of RVRT* is
straight forward from equation (5).
Illustrative Example
To illustrate the concepts presented above, assume hypothetical fields suited to cotton
production can be classified into three management zones and that the following quadratic
functions represent cotton yield response to fertilizer nitrogen and irrigation plus initial moisture
(W) for the management zones.
(12) Y1 = 233.72+23.65*W1 -0.182*W12 +0.439*N1 -0.0033*N12 +0.021*W1 *N1
(13) Y2 = -1103.6+118.35*W2 -1.63*W22 +2.85*N2 -0.004*N22 -0.046*W2 *N2
(14) Y3 =-170.93+32.45*W3 -0.022*W32 +3.74*N3 -0.011*N32 +0.022*W3 *N3
where Y1, Y2, and Y3 are cotton lint yields (lb/acre); W1, W2, and W3 are the amounts of water
applied plus 5 inches of available preplant moisture plus 1 inch of rainfall (acre-inches); N1, N2,
and N3 are nitrogen application rates (lb/acre); and the subscripts represent the three management
More intriguing information
1. Social Irresponsibility in Management2. Emissions Trading, Electricity Industry Restructuring and Investment in Pollution Abatement
3. The English Examining Boards: Their route from independence to government outsourcing agencies
4. The name is absent
5. Consciousness, cognition, and the hierarchy of context: extending the global neuronal workspace model
6. WP 92 - An overview of women's work and employment in Azerbaijan
7. The Interest Rate-Exchange Rate Link in the Mexican Float
8. Quality Enhancement for E-Learning Courses: The Role of Student Feedback
9. Running head: CHILDREN'S ATTRIBUTIONS OF BELIEFS
10. BEN CHOI & YANBING CHEN