The name is absent



Table 2. Illustration of a Linear Programming Matrix Used to Determine the Optimal Number, Location and Size of Center Pγvot Irrigation Systems

Item"

Decision variables

Constraint
values

Pivot 1
at 5,5

Pivot 2
at 5,5

Pivot 3
at 5,5

...W2,5 ...W3,3 W3,4

W3,5

W3,6 W3,7 ...W4,3 W4,4 W4,5

W4,6 W4,7. Selll

Sel 12

Sel 13

Rent

Dry

Objective .....

~. ^A

-B

-C

Pl

P2

P3

R

-K

Pivot 5,5 ......

1

1

1

≤1

G2,5 ............

1

-1

≤1

G3,3 ............

1

-1

≤1

G3,4 ............

1

-1

≤1

G3,5 ............

1

1

-1

≤1

G3,6 ............

1

-1

≤1

G3,7 ............

1

≤1

G5,2 ............

1

≤1

G5,3 ............

1

1

≤1

G5,4 ............

1

I

1

≤1

G5,5 ............

1

1

1

≤1

G5,6 ............

1

1

1

≤1

G5,7 ............

1

1

≤1

G5,8 ............

1

≤1

G8,5 ............

1

≤1

Yield ............

D

E

F

-H -H -H

-H

-H -H -H -H -H

-H -H -1

-1

-1

V

=0

Land .............

X

Y

Z

1

1

≤L

Quota...........

1

≤Q1

Contract .......

1

_≤Qz

• Alphabetic characters in the matrix represent specific coefficients used in the analysis: A, B, and C are the annual costs of each size of center pivot system (including
peanut production costs); D, E, and F are the total yields of peanuts that would be expected from the land covered by each pivot; H is the irrigated yield increase for
each grid area; K is the cost∕acre of поп-irrigated peanuts; L is the total land available; Pl, P2, and P3 are the quota, contract, and world prices for peanuts, respectively;
Q∣ is the quota available for the field being considered; Q2 is the total that can be sold at contract price; R is the rent per acre; V is the yield per acre for non-irrigated
peanuts; and X, Y, and Z are the acres covered by each pivot irrigation system.

991




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