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We begin by describing a method problem: Adam manufactures and sells boxes in

We begin by describing a method problem: Adam manufactures and sells boxes in

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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We begin by describing a method problem: Adam manufactures and sells boxes in three sizes: smallI, medium and large. small Medium Big |(Build) h/Box 1.5 1.9 2.2 (Paint) h/Box 0.6 0.7 1.1 (cargo space) dm/Box 5 17.8 41.8 (Profit) kr/Box 35 50 70 Adam manufactures his boxes during a working week. Then he loads the boxes into his van that holds 0.174 cubic meters and goes to a market. In the market he sells his boxes. Adam has access to the carpentry workshop 5 hours per day and to the painting workshop 2.2 h/ day. How many boxes and of what varieties will Adam manufacture in a week to maximize his profit at the weekend market? How big will the profit be? Higher level: Your task is to first generalize the model problem described above. Then you should create a solution model that can find an optimal solution to the general problem, given that one exists.
Transcribed Image Text:We begin by describing a method problem: Adam manufactures and sells boxes in three sizes: smallI, medium and large. small Medium Big |(Build) h/Box 1.5 1.9 2.2 (Paint) h/Box 0.6 0.7 1.1 (cargo space) dm/Box 5 17.8 41.8 (Profit) kr/Box 35 50 70 Adam manufactures his boxes during a working week. Then he loads the boxes into his van that holds 0.174 cubic meters and goes to a market. In the market he sells his boxes. Adam has access to the carpentry workshop 5 hours per day and to the painting workshop 2.2 h/ day. How many boxes and of what varieties will Adam manufacture in a week to maximize his profit at the weekend market? How big will the profit be? Higher level: Your task is to first generalize the model problem described above. Then you should create a solution model that can find an optimal solution to the general problem, given that one exists.
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