Dawson, Diane; Gravelle, Hugh; O'Mahony, Mary; Street, … - 2005 - Rev
. Denote the vector of outputs from a firm at a time t as x(t). We index
the goods by j. Let z(t) be the vector of n inputs …
xzv
∂∂∂
+ +=
∑∑
&&& (2)
A profit maximising firm in a competitive market will choose x(t), z(t) to satisfy … can rearrange (2) as
1
1
1
jyz y
n
jn
jn
x
zg xvv
v
x zpxv vxv
θ
ωω ω
⎛⎞∂∂
−==
⎜⎟
⎝⎠
∑∑
&
&&
& (3 …