1. and Graphing Inequalities
Skill Check
Word Problems
and Graphing Inequalities

2. Homework Check

3. Skill Check

4. Constraints

5. Vocabulary Objective function- Quantity to be minimized or maximized
Constraints- System of inequalities
Feasible region- Solution to the system of inequalities

6. Example: Constraints: Variables: Objective Function: (Profit)
The campus store sells stadium cushions and hats. The store makes a profit of $5.00 for the cushions and $6.00 for the hats. They can obtain no more than 100 cushions and 75 hats per week. To meet demands, they have to sell a total of at least 120 of the two together, but they cannot package more than 150 per week.
Constraints:
Variables:
x = the number of cushions
y = the number of hats
x < 100
y < 75
x + y > y > -x + 120
x + y < y < -x + 150
x > 0
y > 0
Objective Function: (Profit)
P = 5x + 6y