Numerical Example

L  = 10

Total available LABOR is 10 man-hours.

b  =  .5

half an hour of LABOR is needed to BAKE one loaf of BREAD

c  =  1

one hour of LABOR is needed to WEAVE one yard of CLOTH

Suppose we want 6 loaves of BREAD.

QB   =  6

How much CLOTH can we produce?

QC  =   ?

BAKING 6 loaves of BREAD takes 3 hours of LABOR.

LB  =   b QB =  (.5) 6 = 3

7 hours remain for WEAVING CLOTH

LC =< L - LB10 - 3 = 7

In 7 hours we can WEAVE at most 7 yards of CLOTH

QC  LC/7/1  = 7

Available:10 hours of labor .
Needed:1/2 hour to bake   1  loaf of bread
  1 hour to weave 1  yard of cloth .
If we want 6 loaves of BREAD we can produce at most 7 yards of CLOTH, given the limited amount of LABOR and existing technology of BAKING and WEAVING.
  
  
  

If we want 14 loaves of BREAD we can produce at most 3 yards of CLOTH, given the limited amount of LABOR  and existing technology of BAKING and WEAVING

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