Part A Linear Programming: Problem Sheet 1
1. A manufacturer wishes to produce an alloy that is, by weight, 30% metal A and 70%
metal B. Five alloys are available at various prices indicated below:
The primary purpose of the military justice system is to provide a framework of law that promotes good order and discipline and provides a
means for the adjudication of offenses.
Military commanders have a variety of methods available to enforce good orde
Winning in combat depends upon tactical leaders who can think creatively and act decisively. This fact:
Pertains equally to all Marine Leaders, whether their duties entail combat service support, combat
support, or combat arms
Applies to the MAGTF command
It is vital to understand that a Marine's attitudes and actions affect the capabilities of the organization to successfully perform its mission.
Mentoring is designed to help Marines ensure the highest standards of conduct in and out of uniform.
These operations may occur in sequence, simultaneously, or
independently across the depth of the battlespace. A movement to
contact may be so successful that it immediately leads to
exploitation, or an attack may lead directly to pursuit.
There are four t
In the military, we write for a number of different reasons, but generally we write to inform, persuade, praise, or admonish. To acquire
the skill to do each takes time and practice, and only by writing and applying the principles
The Marine Corps mission was established by the National Security
Act of 1947 (amended in 1952).
These qualities make the Marine Corps truly unique in comparison to
other military services.
Marines are trained, organized, and equipped for offensive
When employed properly, machine guns provide a high volume of accurate fire in support of the infantry in both the offense and defense.
Machine guns can be used to:
Add firepower to an assault.
Suppress or neutralize the objective from a base of fire.
The systems approach to training (SAT) is a comprehensive
methodology for analyzing, designing, developing, implementing,
and evaluating the total process of training.
The SAT ensures that:
Learning objectives are identified.
Students are evaluated on the
Attitudes toward recycled products Recycling is supposed to save resources. Some people
think recycled products are lower in quality than other products, a fact that makes recycling
less practical. People who actually use a recycle
A general optimization problem is of the form: choose x to
subject to x S
x = (x1 , . . . , xn )T ,
f : Rn R
is the objective function,
is the feasible set.
We might write
Part A Linear Programming: Problem Sheet 2
1. Consider the linear programming problem
P : max cT x subject to Ax
Write down the dual problem D, and convert it into another problem of the same form
as P . Verify that the dual of the dual pr
It is difficult to separate our warfighting philosophy from our
leadership philosophy as they are inextricably intertwined.
Our leadership style is a unique blend of Service ethos and timetested concepts that support Marine leaders in peace and war.