6. Oil Well Problem (8 points): Earl Wells owns an oil lease. A new well 400 meters from the road is to be
connected to storage tanks 1,000 meters down the road from the well. Building pipeline across the field
costs $60 per meter while building it along the road only costs $40 per meter
1000 m. What are the most and least expensive ways to lay the pipeline?

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becayse

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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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