Describe
something that you think is a public good. explain how it is
non-excludable and non-rival. state whether you think the good should
be provided by the government or by private industry, and explain the
reasoning behind your position.

A public good is air.

it's non excludable, because basically everywhere you go, unless you chain yourself to the botton of the ocean of bury yourself underground, there will be air, and there is not forbidding you from breathing it.

air should not be provided by the gorvernment, because even if we were technologically advanced enough to control air and atmospheric pressure, the gornment would be giving out rations of air to us? that would be preposterous and chaotic. if it became a private industry, it would literally mean "if you have money, you don't die" which is inhumane.

productive most commonly means: achieving or producing a significant amount or result.

explanation:

productive can also mean:

producing or giving rise torelating to or engaged in the production of goods, crops, or other commodities.

these depend on how the word productive is used. most likely productive will mean   achieving or producing a significant amount or result.