The primary beneficiaries of this military consumption are the corporations that supply the goods and services that the military pays for (with public money), but the gains made by those corporations go into a relatively few pockets.
Another example is big agriculture corporations. In the US, for decades there have been subsidies paid to corn "farmers" (now big corps), to the extent that the businesses had to find ways to use corn beyond just food. Thus came corn syrup, ethanol (https://e360.yale.edu/features/the_case_against_ethanol_bad_...) and more.
Beneficiaries of this, again, are a few people. Meanwhile, land is burned out (soil quality reduced to worthless), plus all the infrastructure and energy use related to operating large scale farms.
If I had all day to spend, I could probably find a dozen other examples.
This has nothing to do with cheap food for poor people; and after all, the research shows that the cheap food is the unhealthiest.