Keeping c subscript 2 constant at c subscript 2 equals 12, the interval for c subscript 1 in which the current optimal solution remains optimal is a. negative 14 less or equal than c subscript 1 less or equal than negative 24 b. 14 less or equal than c subscript 1 less or equal than 24 c. negative 24 less or equal than c subscript 1 less or equal than negative 14 d. 24 less or equal than c subscript 1 less or equal than 14 e. none of the above

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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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