UPDATE 1-Boeing studies 737 MAX output slowdown among scenarios -source

Boeing and suppliers are looking at scenarios including a slowdown in production of the 737 MAX if the plane's grounding in the wake of two accidents lasts for a number of months, as many analysts expect, a person familiar with the process said.

Boeing declined to comment. Deliveries of Boeing's best-selling aircraft were frozen after a global grounding of the narrowbody model following the crash of an Ethiopian Airlines jet on March 10.

Boeing assembles 52 737-family aircraft per month and its newest version, the MAX, represents the lion's share of this production, although Boeing has declined to give exact numbers. Boeing had been planning to speed up production again in June to 57 a month.

Boeing faces logistical issues in finding places to park the growing number of grounded 737 MAX planes as well as being responsible for all their maintenance costs since it has been unable to deliver the jets to customers, two other people briefed on the situation said. Shares in Boeing Co fell around one percent. (Reporting by Tim Hepher, David Shepardson, Editing by Sarah White)