Symbol T

The passage around this formula

…a request reaches that threshold — and the higher rate applies to the entire request, not just the tokens past the line [ 1 ] . Written as a cost function of input tokens $n_i$ and output tokens $n_o$ against a threshold T = 200{,}000 , with low-tier prices $p_i^{L}$, $p_o^{L}$ and high-tier prices $p_i^{H}$, $p_o^{H}$ : $\text{Cost}(n_i, n_o) = \begin{cases} n_i\, p_i^{L} + n_o\, p_o^{L}, & n_i < T \\ n_i\, p_i^{H} + n_o\, p_o^{H}, & n_i \geq T \end{cases}$. For grok-4.6 that means a 199,999-token prompt is billed at two dollars per million input tokens, and a 200,001-token prompt — one token longer — is billed at four dollars per million…

Read this part in the article →