Consider the Following Linear Program

question 1

Essay

Consider the following linear program:
MAX 60X + 43Y
s.t.X + 3Y > 9
6X -0 2Y = 12
X + 2Y < 10
X,Y > 0
a.Write the problem in standard form.
b.What is the feasible region for the problem?
c.Show that regardless of the values of the actual objective function coefficients,the optimal solution will occur at one of two points.Solve for these points and then determine which one maximizes the current objective function.

---

Definitions:

Inefficient Combination

A situation where resources are not being used to their fullest potential, resulting in wasted capacity or unmet demand.

Coconuts

Tropical fruits with a hard shell, edible white flesh, and clear liquid inside, widely used for their water, milk, oil, and meat.

Fish

Aquatic animals that are a source of food, recreation, and commercial activity for humans, playing a crucial role in many ecosystems.

Unattainable Point

A situation in a production possibilities frontier or a similar model where the point representing a combination of goods or services produced cannot be achieved given current resources or technology.