A data analyst is verifying a calculation for a resource allocation model using the expression ${}3x^2 - 2xy + 6y^2$. If the analyst needs to evaluate this expression for $x = 1$ and $y = -2$, which of the following correctly demonstrates the initial step of substituting these values into the formula?

A manufacturing supervisor needs to verify the standard procedure for calculating a tolerance metric using the formula ${}3x^2 - 2xy + 6y^2$. For a baseline check where $x = 1$ and $y = -2$, arrange the evaluation steps in the correct chronological order to arrive at the final metric.

A logistics analyst is calculating a resource allocation index using the formula ${}3x^2 - 2xy + 6y^2$. If the analyst substitutes the values $x = 1$ and $y = -2$ into the expression, the final calculated index is 31.

In a logistics training module, a warehouse manager uses the formula ${}3x^2 - 2xy + 6y^2$ to calculate a shipment efficiency score. For a benchmark where $x = 1$ and $y = -2$, match each component of the formula with its correct simplified numerical value as identified in the standard training procedure.

Safety Compliance Index Calculation

A logistics supervisor is training a new warehouse coordinator to evaluate a standard facility efficiency index represented by the algebraic expression ${}3x^2 - 2xy + 6y^2$. For a routine compliance audit, the coordinator is given the baseline parameters $x = 1$ and $y = -2$. To complete the checklist, the coordinator must manually calculate the efficiency score. After substituting the parameters and simplifying using the order of operations, the final facility efficiency index is ____.