) Can you explain why taking a monotonic transformation of a utility function doesn’t change the marginal rate of substitution?

Applying a monotonic transformation to a utility function representing a preference relation simply creates another utility function representing the same preference utility of utility, basically what this means is that when monotonic transformation of utility is applied the marginal rate of substitution does not.

Explanation:

if it is a supervisor that collects all the handmade products the word is you but if it goes straight to the machine made activity there isn't any word unless there is robot programmed to say you.

    racial conflict and discrimination has existed ever since man learned to kill with rocks and bones. these conflicts arose from disputes between territory, power, wealth, religion, or simple difference. some of the most infamous racial disputes include slavery, the holocaust, and the civil rights movement.

    these listed disputes often resulted in casualties from all sides. riots, wars, imprisonment, and lynching are all commonly associated with racial conflict on severe levels.

      however, racism is an improving issue in recent decades. people are being more accepting and welcoming of diverse populations. though, the world isn't perfect and it will take much more time, if ever, until the world is rid of racism.