priors to study the effects of the choice of prior in the retrievals.

For this paper, we have developed a new transit spectra modeling and retrieval code, APOLLO, to perform such an analysis and developed techniques to determine the optimal strategies for observing transiting planets with [*JWST*]{} and a means of quantifying that optimization. We build a representative spectral model suite for eleven hot jupiters: HAT-P-1b, HAT-P-12b, HD 189733b, HD 209458b, Kepler-7b, WASP-6b, WASP-12b, WASP-17b, WASP-19b, WASP-39b, and WASP-43b. We then fit synthetic observations to them from a range of possible [*JWST*]{} observing programs using an MCMC algorithm to explore how to optimize an observing run.

The outline of this paper is as follows. We describe the information theory behind our analysis in Section \[info\]. The observing capabilities of [*JWST*]{} for transits are explored in depth, and several observing programs are presented in Section \[JWST\]. We describe the APOLLO code and the specific models we use in this study in Section \[our-code\]. Our results and analysis with an information theoretic approach are provided in Section \[results\], and we list general conclusions in Section \[summary\].

Information Theory {#info}
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A set of synthetic observations, $x$, can be used to derive a 