A new "LAI" (for Linear Algebra Index) formula has been used to rank the eight college football teams shown below. Determine the formula for the LAI.

$$\begin{array}{clcccc} \mbox{Rank} & \mbox{Team} & \mbox{USA} & \mbox{Harris} & \mbox{Computer} & \mbox{LAI} \\\hline 1 & \mbox{Oklahoma} & 1482 & 2699 & 100 & 0.8244680 \\ 2 & \mbox{Florida} & 1481 & 2776 & 89 & 0.8235814 \\ 3 & \mbox{Texas} & 1408 & 2616 & 94 & 0.7893142 \\ 4 & \mbox{Alabama} & 1309 & 2442 & 81 & 0.7287150 \\ 5 & \mbox{Southern Cal} & 1309 & 2413 & 75 & 0.7187210 \\ 6 & \mbox{Penn State} & 1193 & 2186 & 66 & 0.6508663 \end{array}$$

LAI = (USA) + (Harris) + (Computer)

Help: The use of a computer algebra system is advised. Be sure to use all 8 digits of the LAI in your computations, or else suffer huge rounding errors!