# Math

posted by
**John**
.

Solve this linear programming problem using the simplex method:

Maximize P = 21x + 12y + 24z subject to these constraints:

3x + 2y + 3z ≤ 864

15x + 6z ≤ 1296

9x + 8y + 18z ≤ 4608

x ≥ 0, y ≥ 0, z ≥ 0

Maximum value for P = ?.

This value of P occurs when:

x = ?

y = ?

z = ?