📊 Part 1: Diagnostic Test - Variables and Inequalities

Let x = _________________________________

Let y = _________________________________

🏭 Part 2: Understanding Variables and Constraints

a) Define variables: Let x = _________________ and y = _________________

b) The factory cannot produce negative quantities. Write this constraint:

_______ and _______

c) The factory has 200 hours of labour available. If chairs take 3 hours and tables take 5 hours to make, write the constraint:

_________________________________

🎯 Part 3: Writing Inequalities from Context

Scenario: The company has the following limitations:

• They cannot make negative quantities

• Each car uses 4 units of wood, each doll uses 3 units. Maximum wood available: 120 units

• Each car takes 2 hours to make, each doll takes 3 hours. Maximum labour: 90 hours

• They must make at least 5 cars to meet a contract

💰 Part 4: Real-World Application

a) Define variables: s = _____________, l = _____________

b) Write the budget constraint: _________________________________

c) Write the non-negativity constraints: _______ and _______

d) If the student wants to buy at least 2 sandwiches, write this constraint: _______

🤔 Part 5: Reflection and Extension