The following linear programming problem
maximize z = 90x1 +125x2 +45x3+65x4
0.1x1+ 0.25x2 + 0.08x3+ 0.21x4
3x1+ 3x2 + x3 +x4
36x1+ 48x2 + 25x3+35x4
x1 + x2
x3+x4
x1,x2,x3,x4 >/= 0
a. what will happen to product x4 to justify its prodctuion?
b. what is value of surplus associated with constarint 3?
c. what is marignal coat of prodcusing one more unit of product 3?
d. by how much will objective function change if resource 2 is increased by 400 units?
e. range in objective function coffeicient of x4 is the current solution valid?
f. what is the marginal cost of prodcuing one additional unit of prodcut x2?