The local waterpark is opening for the summer. They are selling adult tickets for $15 and child tickets for $8. The park can hold at most 500 people to allow access for more children, the waterpark is limiting the number of adults to no more than 150. The waterpark is hoping to make at least $600 in ticket sales How many adult tickets and how many child tickets should be sold to maximize the
amount of money earned?

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answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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