Details of Linear Equation:

1. An Objective function is:

Examples:

2. Constraints are:

Examples:

3. Decision variables are:

Examples:

4. Steps to solve a linear programming problem:

1.

2.

3.

4.

5.

6. Lisas jewelry shop example: Your friend Lisa has an online jewelry shop where she sells earrings and necklaces. She sells earrings for $30 and necklaces for $40. It takes 30 minutes to make a pair of earrings and 1 hour to make a necklace, and, since Lisa is a math tutor, she only has 10 hours a week to make jewelry. In addition, she only has enough materials to make 15 total jewelry items per week. She makes a profit of $15 on each pair of earrings and $20 on each necklace. She asks your advice: How many pairs of earrings and necklaces should she make each week in order to maximize her profit?

A) Objective function is:

B) Decision variables are:

D) Constraints are:

E) How to create a table of constraints

F) Turning the table into inequalities

G) How to chart the bounded region

H) How to identify corner points

I) How to find where lines intersect

J) How to find optimal solution