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Problem Set 2: Linear Programming
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Question 49
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Laura runs a factory that makes stereo tuners. Each R80 takes 6 ounces of plastic and 4 ounces of metal.
Each D200 requires 3 ounces of plastic and 6 ounces of metal. The factory has 174 ounces of plastic, 252
ounces of metal available, with a maximum of 18 R80 that can be built each week. If each R80 generates
$10 in profit, and each D200 generates $1, how many of each of the stereo tuners should Laura have the
factory make each week to make the most profit?
R80:
D200:
Best profit:

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step-by-step explanation:

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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