Decision 1 Unit 7

Question 0

What is the objective function?

Answer 0

Whether the total cost etc. of x and y things needs to be maximised or minimised.

Question 1

How to formulate a linear programming problem?

Answer 1

1. Define the decision variables.
2. Write down the constraints.
3. Find the objective function to maximise or minimise.

Question 2

What are the decision variables?

Answer 2

x = number of...
y = number of...

Question 3

What are the constraints?

Answer 3

Inequalities using the equations, and the non-negativity such as x≥0, y≥0

Question 4

How to draw a ≥ line and a > line on a graph

Answer 4

≥ Is a solid line, > is dotted.

Question 5

What is a feasible region?

Answer 5

It is the region on the graph where a solution will be.

Question 6

How to find the solution after formulating?

Answer 6

1. Draw the inequalities on a graph (by setting x and y to 0).
2. Pick a coordinate above or below the line (eg. (0,0) ) to find which bit to shade depending on whether it satisfies it.