I wonder how I would go about solving a linear problem when all I have is a simple calculator and a pencil.

Maximize

Z = 2x + 10y

Subject to

Durability

11x + 4y

>=

35

wk

Strength

1x + 6y

>=

24

psi

Time

1x + 2y

15

hr

x y

>=

0

1) What are the optimal values of the decision variables xy and Z?

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 and why? If no why?

Using excel or online solvers is easy but I am really lost on how to solve this without the aid of technology.

If you would like me to rate you please solve the above and provide step-by-step instruction on how to do this.