Mathematics, Extensive Problems: Adam's Boxes We begin by describing a method problem: Adam manufactures and sells boxes in three sizes: small, 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, dm³/Box 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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Mathematics, Extensive Problems: Adam's Boxes
We begin by describing a method problem: Adam manufactures and sells boxes in
three sizes: small, 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, dm³/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:Mathematics, Extensive Problems: Adam's Boxes We begin by describing a method problem: Adam manufactures and sells boxes in three sizes: small, 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, dm³/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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