(I'LL MARK YOU BRAINLIEST IF U FIRST HELP ME PLS) NYC Mayor Bill de Blasio has to manage the supply budget for both the NYPD and hospitals. He can spend $50 per box of tear gas and batons for the NYPD. For a hospital, he spends $40 per box of protective gear that includes masks and other healthcare supplies. X represents the number of tear gas and batons boxes and Y represents the number of masks and healthcare supplies boxes. This month, there is an overall budget of $2,000. He also wants to purchase a minimum of 100 total supplies.

A) Write a key for the system of inequalities; defining the x and y variable.

B) Write a system of inequalities that could be used to represent the given scenario.

C) Assuming 45 boxes of tear gas are purchased, what is the maximum number of boxes of hospital supplies could he purchase that would fit the specified budget?

D) What would be your suggested amounts of X and Y variables for de Blasio? Explain how you determined these amounts? (Remember, there are multiple solutions to a system of inequalities, please explain why the solution you chose is the most viable.)