Asimple economy depends on two indastries, agricuture and manufacturing. production of 1 unit of agriculture reqaires 3/4 unvs and 1/2 units of manufacturing. production of i unit of manufacturing requvires 1/4 agriculture and 1/4 units of manufacturing. how many 4 units of ngricultare 1/4 units o should be produced in order to sasisty an external demand of 1000 units of agriculture and 2200 units of manufacturing? follow the steps below to solve the problem. (a) write the input-output matrix, a (b) write the demand matrix, d (e) compute i-a (d) compute (i-a)-1 (e) find the production matrix x = (1-a). d

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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