Question
In: Statistics and Probability
1. Explain how a linear program with an unbounded feasible region may have a maximum solution....
1. Explain how a linear program with an unbounded feasible region may have a maximum solution. Explain how a linear program with an unbounded feasible region may have a minimum solution. If you find it difficult to write an explanation, you may draw graphical examples to illustrate your point.
2.If a linear program with two input variables (a two-dimensional problem) has N constraints and has a non-trivial bounded feasible region then what is the maximum number of sides to the polygon that defines the feasible region?
Solutions
orchestra answered 2 years agoRelated Solutions
Distinguish between basic feasible solution, feasible solution and optimal solution of a linear programming problem. Solve...
Distinguish between basic feasible solution, feasible solution
and optimal solution of a linear programming problem. Solve the
following LPP graphically:
Y=q1+4q2
Subject to 2q1+6q2<=36
2q1+2q2<=16
4q1+2q2<=28
q1,q2>=0
Show the feasible region by shading of the following system of linear inequalities and show all...
Show the feasible region by shading of the following system of
linear inequalities and show all the intersection points (label
your graph carefully): Hint: Use the guidelines shown in lectures
and show all calculations for everything.
4? + ? ≥ 16
5? + 4? ≥ 40
? + 5? ≥ 20
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty...
Solve the LP problem. If no optimal solution exists, indicate
whether the feasible region is empty or the objective function is
unbounded. HINT [See Example 1.] (Enter EMPTY if the region is
empty. Enter UNBOUNDED if the function is unbounded.)
Minimize c = 0.2x + 0.3y subject to
0.2x
+
0.1y
≥
1
0.15x
+
0.3y
≥
1.5
10x
+
10y
≥
80
x ≥ 0, y ≥ 0.
c
=
(x,
y) =
Explain the following terms: Decision Variables Objective function Constraint Non-negativity constraints Feasible solution Infeasible solution Feasible...
Explain the following terms:
Decision Variables
Objective function
Constraint
Non-negativity constraints
Feasible solution
Infeasible solution
Feasible solution area
Optimal Solution
Extreme Points
Proportionality
Explain the meaning of the following terms: constraints, decision variables, feasible region and objective function. Explain...
Explain the meaning of the following terms: constraints,
decision variables, feasible region and objective function. Explain
their relevance to product mix decisions.
Explain the meaning of the following terms: constraints, decision variables, feasible region and objective function. Explain...
Explain the meaning of the following terms:
constraints, decision variables, feasible
region and objective function. Explain their
relevance to product mix decisions.
What is a feasible solution of an LP? how can we define it in terms of...
What is a feasible solution of an LP? how can we
define it in terms of Mathematical proof.
Explain the following terms: optimization, objective function, optimal solution, constraint, constraint function, feasible solution, and binding...
Explain the following terms: optimization, objective function,
optimal solution, constraint, constraint function, feasible
solution, and binding constraint.
4. Consider the linear program in problem 3. The value of the optimal solution is 48....
4. Consider the linear program in problem 3. The value of the
optimal solution is 48. Suppose the right-hand side for constraint
1 is increased from 9 to 10.
(problem 3 linear program)
Min 8X+12Y s.t.
1X+3Y≥9
2X+2Y≥10
6X+2Y≥18
A,B≥0
A) Use the graphical solution procedure to find the new optimal
solution.
b) Use the solution to part (a) to determine the shadow price
for constraint 1.
c) The sensitivity report for the linear program in Problem 3
provides the...
Tourism can provide infrastructure to a region or community that may not have access to it....
Tourism can provide infrastructure to a region or
community that may not have access to it. provide two clear example
of how and why infrastructure can be improved or built to meet the
needs of both tourists and locals?
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