DR. MARIO ARTURO RUIZ ESTRADA

81

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

Sub-Production Function 0 – Coffee Producer “A”:

☼

βA-0:0i = ƒ (

☼

∆αA-0:00, 

☼

∆α A-0:01, 

☼

∆α A-0:02,…,

☼

∆X α-0:0∞…)

 (7)

Sub-Production Function 0 – Coffee Producer “B”:

☼

βB-0:1i = ƒ (

☼

∆αB-0:10, 

☼

∆αB-0:11,

☼

∆αB-0:12,…,

☼

∆αB-0:1∞…) 

(8)

Sub-Production Function 0 – Coffee Producer “C”:

☼

βc-0:2i = ƒ (

☼

∆αC-0:20, 

☼

∆αC-0:21,

☼

∆αc-0:22,…,

☼

∆αC-0:2∞…)

 (9)

Sub-Production Function 0 – Coffee Producer “Z”:

☼

βZ-0:4∞ = ƒ (

☼

∆αZ-0:∞0, 

☼

∆αZ-0:∞1, 

☼

∆αZ-0:∞2,…, 

☼

∆αZ-0:∞∞…)

 (10)

If any coffee producer in the same country displays the largest output from the 
sub-production function zero, followed by (

☼

βA-0:0i

) v (

☼

βB-0:1i

) v (

☼

βc-0:2i

) 

v (

☼

βZ-0:4∞

), then this coffee producer needs to establish the main market price 

for the rest of coffee producers on the sub-production function zero.

Sub-Production Function 1 Specialization (Coffee Brokers) presents a large number 
of factors and functions that affect its behaviour simultaneously, according to 
expressions 11, 12, 13, and 14 respectively.

 Sub-Production Function 1 – Coffee Brokers “A”:

☼

βA-1:0i = ƒ (

☼

∆αA-1:00,

 

☼

∆αA-1:01

, 

☼

∆α A-1:02,…

,

☼

∆αA-1:0∞…) 

(11)

Sub-Production Function 1 – Coffee Brokers “B”:

☼

βB-1:1i = ƒ (

☼

∆αB-1:10,

 

☼

∆αB-1:11,

☼ 

∆αB-1:12,…,

☼

∆αB-1:1∞…)

 (12)

Sub-Production Function 1 – Coffee Brokers “C”:

☼

βc-1:2i = ƒ (

☼

∆αC-1:20,

 

☼

∆αC-1:21,

☼ 

∆αc-1:22,…,

☼

∆αC-1:2∞…) 

(13)

Sub-Production Function 1 – Coffee Brokers “Z”:

☼

βZ-1:4∞ = ƒ (

☼

∆αZ-1:∞0, 

☼

∆αZ-1:∞1

, 

☼

∆αZ-1:∞2,…,

☼

∆αZ-1:∞∞…) 

(14)

If any domestic or overseas coffee broker displays the largest output in sub-
production function 1, followed by (

☼

βA-1:0i

 ) v (

☼

βB-1:1i

 ) v (

☼

βc-1:2i

) v 

(

☼

βZ-1:4∞

) then this coffee broker can find the best price of sub-production 

function 1.

Sub-Production Function 2 Specialization (Coffee Sellers) have a large number of 
factors and functions that affect the final price behaviour simultaneously, according 
to expressions 15, 16, 17 and 18 respectively.