$18-46.$ Total Factor Productivity

Trombly Fabrication has three production facilities located in the state, each producing the same basic mix of products. Facility $1$ was the original plant and the only one for several years. Facilities $2$ and $3$ were added recently to handle the increased volume. Data for the three facilities on output and the three primary inputs for the most recent period follow:

Required

Compute the total factor productivity for the three production facilities.

Briefly evaluate the comparative efficiency of the three production facilities