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Hello students.
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In the question it is given that manufacturing truck mike's toy truck company manufacture two models of toy trucks, a standard model and a deluxe model.
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Each standard model requires two hours for painting and three hours for detail work.
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Each deluxe model requires three hours for painting and four hours for detail work.
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Two painters and three detail workers are employed by the company and each works 40 hours per week.
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Using x to denote the number of standard model trucks and y to denote the number of deluxe model trucks.
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We have to write a system of linear inequalities that describes the possible numbers of each model of truck that can be manufactured in a week.
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Solution of part a.
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Hedex and y denote the number of standard model trucks and number of deluxe model trucks that are manufactured in a week respectively.
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It is given that each standard model required 2 hours for painting, so x standard model require 2 xrs for painting, each deluxe model require 3 hours for painting, so y deluxe model require 3 y hours for painting, and 2 painters are employed by the company.
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Each works 40 hours per week, 2 painter work 80 hours per week...