Hi all! I'm new at Mathematica and I having the following problem. I define several functions to then optimize with constraints (complicated problem) using the function Maximize. The problem is that the output just prints the input, but gives no solutions to the problem. The problem has 16 constraints, 12 variables, and just one symbolic parameter. If anyone can help with this I would really appreciate it. I post the code below. Thanks!

uc[c_, delta_] := Times[delta, Divide[Power[c, -0.5], -0.5]]

vz[z_, w_] := Times[1, Divide[Power[Divide[z, w], 3], 3]]

ut[c1_, c2_, z_, w_, delta_] := uc[c1, 1] + uc[c2, delta] - vz[z, w]

SWF[c11_, c12_, c21_, c22_, c31_, c32_, c41_, c42_, z1_, z2_, z3_,z4_, w1_, w2_, delta_] := 
 ut[c11, c12, z1, w1, 1] + ut[c21, c22, z2, w1, delta] + ut[c31, c32, z3, w2, 1] + ut[c41, c42, z4, w2, delta]

mrs[c1_, c2_, delta_] :=  Times[Divide[1, delta], Power[Divide[c1, c2], -1.5]]

t[c1_, c2_] := Divide[1, mrs[c1, c2, 1]] - 1

R[c1_, c2_, c11_, c12_] := c1 + Times[(1 + t[c11, c12]), c2]

chat2[c1_, c2_, c11_, c12_, delta_] :=  Times[R[c1, c2, c11, c12], Power[Power[Divide[delta, 1 + t[c11, c12]], -Divide[2, 3]] + 1 + t[c11, c12], -1]]

chat1[c1_, c2_, c11_, c12_, delta_] := R[c1, c2, c11, c12] -   Times[(1 + t[c11, c12]), chat2[c1, c2, c11, c12, delta]]

ic[ci1_, ci2_, zi_, wi_, deltai_, cj1_, cj2_, zj_, c11_, c12_] := ut[ci1, ci2, zi, wi, deltai] - ut[chat1[cj1, cj2, c11, c12, deltai], chat2[cj1, cj2, c11, c12, deltai], zj, wi, deltai]

Maximize[{SWF[c11, c12, c21, c22, c31, c32, c41, c42, z1, z2, z3, z4, 
   1, 2, delta2], 
  c11 + c12 + c21 + c22 + c31 + c32 + c41 + c42 == z1 + z2 + z3 + z4 && 
   mrs[c11, c12, 1] == mrs[c21, c22, delta2] && 
   mrs[c11, c12, 1] == mrs[c31, c32, 1] && 
   mrs[c11, c12, 1] == mrs[c41, c42, delta2] && 
   ic[c11, c12, z1, 1, 1, c21, c22, z2, c11, c12] >= 0 && 
   ic[c11, c12, z1, 1, 1, c31, c32, z3, c11, c12] >= 0 && 
   ic[c11, c12, z1, 1, 1, c41, c42, z4, c11, c12] >= 0 && 
   ic[c21, c22, z2, 1, delta2, c11, c12, z1, c11, c12] >= 0 && 
   ic[c21, c22, z2, 1, delta2, c31, c32, z3, c11, c12] >= 0 && 
   ic[c21, c22, z2, 1, delta2, c41, c42, z4, c11, c12] >= 0 && 
   ic[c31, c32, z3, 2, 1, c11, c12, z1, c11, c12] >= 0 && 
   ic[c31, c32, z3, 2, 1, c21, c22, z2, c11, c12] >= 0 && 
   ic[c31, c32, z3, 2, 1, c41, c42, z4, c11, c12] >= 0 && 
   ic[c41, c42, z4, 2, delta2, c11, c12, z1, c11, c12] >= 0 && 
   ic[c41, c42, z4, 2, delta2, c21, c22, z2, c11, c12] >= 0 && 
   ic[c41, c42, z4, 2, delta2, c31, c32, z3, c11, c12] >= 0}, {c11, 
  c12, c21, c22, c31, c32, c41, c42, z1, z2, z3, z4}]