Optimization and Linear Programming
A common form of the productmix linear programming seeks to find the quantities of items in the product mix that maximizes profit in the presence of limited resources.
True
Linear programming helps operations managers make decisions necessary to allocate resources.
True
In linear programming, the unit profit or unit contribution associated with one decision variable can be affected by the quantity made of that variable or of any other variable in the problem.
False
What combination of x and y will yield the optimum for this problem?
Minimize $3x + $15y, subject to
(1) 2x + 4y 12 and
(2) 5x + 2y 10.
x = 0, y = 0
In linear programming, a statement such as "maximize contribution" becomes a(n)
objective …show more content…
The optimal solution of a linear programming problem that consists of two variables and six constraints will probably not have all six constraints binding.
True
What combination of a and b will yield the optimum for this problem?
Maximize $6a + $15b, subject to
(1) 4a + 2b 12 and
(2) 5a + 2b 20
a= 0, b=6
What combination of x and y will yield the optimum for this problem?
Minimize $3x + $15y, subject to
(1) 2x + 4y 12 and
(2) 5x + 2y 10.
Wrong x=1, Y=15
evaluating on or more alternatives described by probailistic data is referred to as
Wrong Linear Regression
The amount that an objective function coefficient can change before the optimum values of the variables must change is given by
both 1 and 2
DQ 21
If the amounts of two binding resources change simulatneously, the impact on the objective function can be obtained form the shadow prices
False
reduced cost is associated with variables
True
reduced cost is associated with constraints
False
A feasible solution in transportation models is one in which all of the supply and demand constraints are satisfied.
True
A transportation problem with a total supply

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