Can you identify the constraint function in the expression 4A + 4.5B + 2.3C >= 600...
Can you identify the constraint function in the expression 4A + 4.5B + 2.3C >= 600 where A, B and C are decision variables? What are the two basic properties of a linear optimization problem?
Homework Answers
In the given constraint function 4A + 4.5B + 2.3C >= 600, we can note following points:
- Decision variable A,B,C are measured in same unit.
- LHS is Requirement of Resources and RHS is availability of the same, shows requirement is more than availability.
- Per unit requirement of resources for A,B and C is 4, 4.5 and 2.3 respectively.
Properties of Linear Optimization function:
- Its optimal solution if exists attains at the vertex of the simples driven by the constraints taken together.
Problem of Maximization and Minimization are duals of each other, means if we solve for one then solution of other is automatically given.
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Can you identify the constraint function in the expression 4A +
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could use the integer constraints, the linear structure should be
maintained. However, you shouldn’t use the integer constraints if
you can formulate the problem without them. Describe the decision
variables, objective function and constraints carefully. You don’t
need to solve this problem.
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Match the following terms to their definition Feasible region Binding constraint [Choose] [Choose A feasible solution for which there are no other feasible points with a better objective function value in the entire feasible region. The change in the optimal objective function value per unit increase in the right-hand side of a constraint Restrictions that limit the settings of the decision variables A controllable input for a linear programming model The expression that defines the quantity to be maximized or...
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could use the integer constraints, the linear structure should be
maintained. However, you shouldn’t use the integer constraints if
you can formulate the problem without them. Describe the decision
variables, objective function and constraints carefully. You don’t
need to solve this problem.
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