two factors of production LABOR and CAPITAL two products BREAD and CLOTH two technologies BAKING and WEAVING
Note that for each product, there is only one technology,  and both require the input of both factors of production. The technologies are assumed to be 'fixed coefficients',  i.e. requiring the constant quantity of input per each unit of output.
Notation:
 variables parameters quantities units: technical coefficients: units: L  ... LABOR man-hours b ...LABOR - BREAD hours per  one loaf K ... CAPITAL pieces c ... LABOR - CLOTH hours per one yard QB... BREAD loaves d ...CAPITAL - BREAD pieces per  one loaf QC...CLOTH yards e ... CAPITAL - CLOTH pieces per one yard
Equations:
(1)LB  =   b QBLABOR needed for BAKING QB loaves of BREAD.
(2)LC   =   c QCLABOR needed for WEAVING QC yards of CLOTH.
(3)L >=  LB  +  LC
 Sum of LABOR needed for BAKING and WEAVING cannot exceed available man-hours of LABOR.
(4)KB  =   d QBCAPITAL needed for BAKING QB loaves of BREAD.
(5)KC   =   e QCCAPITAL  needed for WEAVING QC yards of CLOTH.
(6)K >=  KB  +  KC
 Sum of CAPITAL needed for BAKING and WEAVING cannot exceed available pieces of CAPITAL.

 If we want 6 loaves of BREAD we can produce at most 7 yards of CLOTH, given the limited amount of LABOR   and CAPITAL and existing technology of BAKING and WEAVING. Note that in this case LABOR is fully utilized but CAPITAL is not.

TWO FACTOR PPF