Equation Setup
1. Write variables:
• Let F = # fitness trackers, R = # smart rings.
2. Write the objective:
• Total profit = 40F + 30R (just multiply units by per-item profit).
3. Set up constraints quickly:
• Assembly time: 4F + 4R <= total assembly hours
• Calibration time: 6F + 2R <= total calibration hours
4. Use info given:
• Plug in actual constraint values if provided (e.g., “...200 hours per week” means 4F + 4R <= 200, 6F + 2R <= 200).
Quick Decision
• Statement 2 ALONE is sufficient to answer.
• Statement 1 alone does nothing; component cost info is irrelevant for maximizing profit given time constraints.
Don’t solve the equations!
• For sufficiency: Confirm you have enough to set up (not solve) the system and maximize profit.
Tips and Traps for Max Profit Problems
• Focus on identifying variables, profit function, and constraints first—don’t get lost in extra info.
• Test extreme cases: All F, all R, then mixed.
• Avoid trying to solve; check if setup is possible for DS.
• Watch for hidden resource limits (time, money, materials) and plug numbers in fast!