Number

Group

Dimension

1

Composition of industrial products and inputs

X0(c, 1, i) = X1TOT(i) × Ψ_0c1i(P₁)

N_cN_i

X0COM(c) = Σ_iX0(c, 1, i) + A(c)_PF

N_c

X1(c, s, i) = X1TOT(i) × Ψ_1csi[P₁(c), P₂(c), A_1i, A_TWIST]

N_cN_SN_i

L(i) = X1TOT(i) × Ψ_Li[W, Q(i), A(i)_PF]

N_i

K(i) = X1TOT(i) × Ψ_Ki[W, Q(i), A(i)_PF]

N_i

TOT_PFc = Σ_cA(c)_PF

1

TOT_PFi = Σ_jA(i)_PF

1

2

Inputs for capital creation and asset prices

X2(c, s, j) = X2TOT(j) × Ψ2_csj[P₁(c), P₂(c), A_2j, A_TWIST]

N_cN_SN_i

PI(j) = Ψ_PIj(P₁, P₂, A_2j)

N_j

3

Demand for commodities by families

X3(c, s) = Ψ_3cs[C, P3₁, P3₂, A₃, A_C/GDP]

N_cN_S

X3_SUB(c) = q_H × A3_SUB(c)

N_c

X3_LUX(c) = X3_S(c) − X3_SUB

N_c

4

Export

X4(c) = Ψ_4i[PE(c)] + A₄(c)

N_c

5

Government demand

X5(c, s) = A₅(c, s) × A_5TOT

N_cN_S

A5_TOT = C × A5_TOT2

1

6

Demand for margin services

X3MAR(c, s, m) = A3MAR(c, s, m) × X3(c, s)

N_cN_SN_m

7

Import and zero profit condition

X0COM(c) = Σ_iX1(c, 1, i) + Σ_iX2(c, 1, i) + X3(c, 1) + X4(c) + X5(c,1) +Σ_cΣ_sΣ_mX3MAR(c, s, m)

N_c

X0IMP(c) = Σ_iX1(c, 2, i) + Σ_iX2(c, 2, i) + _iX3(c, 2) + X5(c, 2)

N_c

Σ_cP₁(c)X0(c, 1, j) = Σ_cΣ_SP_S(i)X1(c, s, j) + W × L(j) + Q(j) × K(j)

N_i

8

Indirect Taxes

T4(c) = A_OT(c) × A_4T(c)

N_c

9

Macroeconomic Variables

CPI = Ψ_CPI(P3₁, P3₂)

1

WR = (W/CPI) × A_WR

1

LTOT = Σ_jL(j)

1

KTOT = Σ_jK(j)

1

GDP_expenditure = C + X2TOT_i × Σ_jPI(j) + X5TOT × Σ_iP_S(i) + Σi[PE/Φ] × X4(i) − Σ_i[PM/Φ] × X0IMP(i)

1

GDP_income = W × L(j) + Q(j) × K(j) + A(i)_PF

GDP_income = GDP_expense

1

10

Decomposition of changes in production

INITSALES(c) × DECOMP(c, “localMarket”) = DOMSALES(c) × 0loc(c)

N_c

INITSALES(c) × DECOMP(c, “DomShare”) = DOMSALES(c) × 0loc(c)/sdom(c)

N_c

INITSALES(c) × DECOMP(c, “Export”) = V4BAS(c) × X4(c)

N_c