Information: The Adler machine company is planning to add a new product line and
ID: 2972588 • Letter: I
Question
Information: The Adler machine company is planning to add a new product line and wishes to hire some experienced mechanic. The local union has advised them the mechanics are categorized in one of the three skill levels experts, normal and apprentice. An expert mechanic has at least 10 years of experience and must be able to produce 20 pieces a day. A normal mechanic must have at least six years of experience and must be able to produce 16 pieces a day. And apprenticed mechanics must have at least one year experience and must be able to produce 12 pieces of day. The union contract calls for wages of $125, $100 and $75 per day for the three skill levels. Currently, there are at least three experts, eight normal mechanics, and 11 apprentice mechanics available for hire. Adler has budgeted $5000 a week (five day week) for mechanics wages. They would like to hire a crew of mechanics that will yield the highest output rate, but would like to keep both the union and present employees happy by ensuring that the total experience of the workers hired to represent a seniority level of at least 60 worker-years. Question: formulate the linear programming that determines the number of mechanics of each type that should be hired to maximize output rate. Give a precise description of the decision variables, and the data table with constraints labeled as the objective.Explanation / Answer
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