In a developing country, most of their biomass fuel comes from wood (1/4), crop residues (1/3)
and animal waste (1/8). What is the total fraction, decimal, and percentage amount from these three
sources?
Answers
Step-by-step explanation:
SOLUTION
Let x units of fodder 1 and y units of fodder 2 be [rescribed. The cost of fodder 1 is per unit and cost of fodder 2 is per unit.
total cost is z = 3x + 3y
This is the linear function which is to be minimized. Hence it is the objective function. The constraints are as per the following table:
Fodder
Nutrient Fodder 1 Fodder 2 Minimum
requirements
Nutrients A 2 1 14
Nutrients B 2 3 22
Nutrients C 1 1 1
From table fodder contains(2x + y) units of nutrients A, (2x + 3y) units of nutrients B and (x + y) units of nutrients C.
The minimum requirements of these nutrients are 14 units, 22 units, and 1 unit respectively.
Therefore, the constraints are
Since, number of units (i.e. x and y) cannot be negative, we have,
Hence, the given LPP can be formulated as
Minimize z = 3x + 2y, subject to