Solve the below problem using graphical linear programming and answer the questions that follow. Use simultaneous equations to determine the optimal values of the decision variables.

Maximize Z = 2x1 + 10x2 Subject to

Durability 10x1 + 4x2 40 week

Strength 1x1 + 6x2 24 psi

Time 1x1 + 2x2 14 hour

x1, x2 0

1. What are the optimal values of the decision variables and Z? (Round to 2 decimal places.)
2. Do any constraints have (nonzero) slack? If yes, which one(s) and how much slack does each have?
3. Do any constraints have (nonzero) surplus? If yes, which one(s) and how much surplus does each have?
4. Are any constraints redundant? If yes, which one(s)?