COFFEECONOMICS

82

REVISTA ACADÉMICA ECO (23) : 73-92, JULIO-DICIEMBRE DE 2020

Sub-Production Function 2 – Coffee Sellers “A”:

☼

βA-2:0i = ƒ (

☼

∆αA-2:00, 

☼

∆αA-2:01, 

☼

∆αA-2:02,…,

☼

∆αA-2:0∞…) 

(15)

Sub-Production Function 2 – Coffee Sellers “B”:

☼

βB-2:1i = ƒ (

☼

∆αB-2:10, 

☼

∆αB-2:11,

☼

∆αB-2:12,…,

☼

∆αB-2:1∞…) 

(16)

Sub-Production Function 2 – Coffee Sellers “C”:

☼

βc-2:2i = ƒ (

☼

∆αC-2:20, 

☼

∆αC-2:21,

☼

∆αc-2:22,…,

☼

∆αC-2:2∞…) 

(17)

Sub-Production Function 2 – Coffee Sellers “Z”:

☼

βZ-2:4∞ = ƒ (

☼

∆αZ-2:∞0, 

☼

∆αZ-2:∞1, 

☼

∆αZ-2:∞2,…,

☼

∆αZ-2:∞∞…)

 (18)

If any coffee seller in the same coffee market displays the largest output in sub-
production function 2 followed by (

☼

βA-2:0i

 ) v (

☼

βB-2:1i 

) v (

☼

βc-2:2i

) v 

(

☼

βZ-2:4∞

) then this coffee seller can get the biggest profit margin of sub-

production function 2.

Sub-Production Function 3 Specialization (Coffee Consumers) shows a large 
number of factors and functions that affect the final satisfaction in coffee consumer 
behaviour simultaneously, according to expressions 19, 20, 21, and 22 respectively.

Sub-Production Function 3 – Coffee Consumer “A”:

☼

βA-3:0i = ƒ (

☼

∆αA-3:00, 

☼

∆α A-3:01, 

☼

∆α A-3:02,…,

☼

∆α A-3:0∞…)

 (19)

Sub-Production Function 3 – Coffee Consumer “B”:

☼

βB-3:1i = ƒ (

☼

∆αB-3:10, 

☼

∆αB-3:11,

☼

∆αB-3:12,…,

☼

∆αB-3:1∞…) 

(20)

Sub-Production Function 3 – Coffee Consumer “C”:

☼

βc-3:2i = ƒ (

☼

∆αC-3:20, 

☼

∆αC-3:21,

☼

∆αc-3:22,…,

☼

∆αC-3:2∞…)

 (21)

Sub-Production Function 3 – Coffee Consumer “Z”:

☼

βZ-3:4∞ = ƒ (

☼

∆αZ-3:∞0, 

☼

∆αZ-3:∞1, 

☼

∆αZ-3:∞2,…,

☼

∆αZ-3:∞∞…) 

(22)

If any coffee consumer displays the largest output in the sub-production function 
3 followed by (

☼βA-3:0i ) v (☼βB-3:1i ) v (☼βc-3:2i) v (☼βZ-3:4∞), then this coffee 

consumer can get the best price; in this case, measured by maximum coffee 
consumer satisfaction.

The third step is to build the NCP-Function by joining by straight lines the output 
of all national coffee production functions from producers, brokers, sellers 
and consumers, until a single surface could be drawn (see Figure 3). The NCP-
Function is interested in verifying performance and effects among all of the coffee