Straitified utility function of consumer

Utility means conception of brains to stimuli of various products
via external sensory receptors(visual, auditory, olfactory, taste, .....)
and internal receptors to sense body composition(sugar, osmolality, effective circulating volume...)
There are plenty of neural conection to integrate these stimuli to a single aggregate utility.

Assume:
Product P1,P2,.......,Pm with consuming amount Q1,Q2,.......,Qm
substitutible functional pre-utilities: food(S1), cloth(S2), house(S3), .... , recreation(Sn)

each product Pj contributes Si with Aij x Qj

Matrix Aij
A11 A12..A1j...A1m
A21 A22..A2j...A2m
.....
Ai1 Ai2..Aij...Aim
.....
An1 An2..Anj...Anm

Then, consuming matrix Q, pre-utility matrix S, Matrix Aij, have relation
A x Q = S

apply Cobb-Douglas function to S , then
aggregate U = c S1^k1 S2^K2 ..... Sn^Kn

furthermores, input-output model for producing sectors may be applied to
neural "utility sectors" to deal with various intermediate "utility products"