Verified 100% Correct
when "n" states of nature p= - ANSWER -1/n
EOL calculation - ANSWER -SUM (regret of outcome * probability)
- repeat for each option (row), choose smallest
EMV calculation - ANSWER -SUM (payoff of outcome * probability)
- repeat for each option (row), choose largest
What are the assumptions of a linear model - ANSWER -1) certainty
2) proportionality
3) additivity
4) divisibility
What are the properties of a linear model - ANSWER -1) represents a business
problem
2) max/min some quantity
3) limitations - constraints
4) must be alternatives available
LHS has - ANSWER -decision variables
RHS has - ANSWER -constraints
Steps for linear programming - ANSWER -1) define decision variables
2) make objective function (what are we max/min)
3) write out constraints
4) graph constraints (find x and y int)
5) find the optimal solution (plug in corner points to objective function)
linear programming: - ANSWER -continuous decision variables with the objective
function and all constraints linear
non linear programming - ANSWER -1 constraint is non linear, decision variables
are continuous
, integer programming - ANSWER -at least one discrete decision variable with the
objective function and all constraints linear
non linear integer - ANSWER -at least one discrete decision variable, and or at
least one constraint non linear
Corner Point Theorem - ANSWER -optimal solution of a linear program problem
occurs at one of the linear corner points of the feasible region
corner points - ANSWER -where constraints used to generate feasible region
intersect
Types of solution of to linear programming - ANSWER -1) unique optimal
2) multiple optimal
3) infeasible solution
4) unbounded
unique optimal solution - ANSWER -(one optimal solution) only 1 corner point
will yield the optimum objective function value
multiple optimal - ANSWER -(more that one optimal) 2 corner points yield the
same objective function value, all points on the line segment connecting the
optimal corner points will also be optimal
infeasible solution - ANSWER -(no solution) no point that satisfies all constraints,
no feasible region, no corner points
unbounded - ANSWER -one variable unconstrained and can go to infinity
shadow price - ANSWER -the change in the objective function value when the
right hand side of the constraint is increased by 1 unit
characteristics of a good decision - ANSWER --based on logic
-considers all options and info available
-sometimes gives unfavorable results
5 steps of the decision making process - ANSWER -1) define problem
2) list all alternatives (options, rows)
3) identify outcomes (states of nature, columns) for each alternative
4) identify payoff for each combo of alternatives and outcome