Production Theory - Science topic

Both supply and demand function seems sufficient to household modeling while modeling it as a firm requires a more interesting topic, nonseparable modeling to account for consumption in the production process. Moreover, incorporating financial issues also increase both dimension and complexity of farm firm decision modeling. With the objective of developing an adaptive decision-making model that serves as investment advisory especially to financially constrained households, by utilizing the recent approach, Machine learning, and /or Exploratory modeling for both crop yield and financial risk decision. The assumption considered is that farmer's income depends both on the crop yield and market scenarios

Suppose doing DEA for N DMUs，each has S input variables，and the panel data set has T periods（Year_1 - Year_T, in order to assess the efficiency yearly and malmquist index). I plan to do PCA on S inputs to reduce the variable dI mentions before loading to DEA.

As the PCA, there are two options:（1）do the PCA on all T period data all together (W*S matrix ，W=N*T）to get the principal component for all periods （2）do PCA one by one on each year data （each is N*S matrix）to get the principal component.

My question is，which option is applicable for PCA-DEA ?

One of the challenges in electrifying the remote areas which is at distant from the national grids is the high impose of energy cost per kwh of energy both in generation and in customer bill payment. In the interest of reducing this cost, do you thing the electrical load demand amount play a role in this matter? or in other words, does the economics production theory (mass production) work here in reducing the final product cost ($/kwh)?