Concept explainers
The objective function and the constraint equations for minimizing the transportation cost from three collection routes to the two disposal sites.
Answer to Problem 3.15P
The objective function for minimizing the transpiration cost is
The
The
The last constraint equation is
Explanation of Solution
Write the expression to obtain the objective function for minimizing the transpiration cost.
Here, the transportation cost is
Substitute
Write the expression for the
Further solve the above equation.
Here, the above equation signifies that the waste hauled out from each section is less than or equal to the capacity of each of the disposal site.
Write the expression for the
Further solve the above equation.
Here, the above equation signifies that the waste hauled out from each section is equal to the amount generated.
Write the expression for the last constraint equation for minimizing the transportation cost.
Here, above equation signifies that the waste hauled out from each section must be positive.
Conclusion:
Thus, the objective function for minimizing the transpiration cost is
The
The
The last constraint equation is
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