Evan Vucci, File, Associated Press
In this March 27, 2015 file photo, ExxonMobil CEO Rex Tillerson delivers remarks on the release of a report by the National Petroleum Council on oil drilling in the Arctic, in Washington. Exxon shareholders will meet Wednesday, May 27, 2015 to hear Tillerson give his outlook for an industry grappling with lower crude prices.

DALLAS — Shareholders are considering whether Exxon Mobil should put a climate-change expert on its board.

That is one of several environmental and company-governance resolutions on the agenda at the oil giant's annual meeting Wednesday in Dallas.

CEO Rex Tillerson is expected to discuss the outlook of the company, which has seen profits decline recently with lower prices for crude oil. Still, the company earned $32 billion last year.

An organization of Catholic priests in Milwaukee proposes to put a climate-change expert on the board, saying it would address a poor environmental image. The Exxon board opposes the resolution, saying several board members have engineering and scientific backgrounds and can handle climate issues.