A manufacturer of lightweight mountain tents makes a standard model and an expedition model for national distribution. Each standard tent requires 1 labour hour from the cutting department and 3 labour hours from the assembly department. Each expedition tent requires 2 labour hours from the cutting department and 4 labour hours from the assembly department. The maximum labour hours available per day in the cutting department and the assembly department are 32 and 84 respectively. If the company makes a profit of E50 on each standard tent and E80 on each expedition tent, use the graphical method to determine how many tents of each type should be manufactured each day to maximize the total daily profit?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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A manufacturer of lightweight mountain tents makes a standard model and an expedition
model for national distribution. Each standard tent requires 1 labour hour from the cutting
department and 3 labour hours from the assembly department. Each expedition tent requires 2
labour hours from the cutting department and 4 labour hours from the assembly department.
The maximum labour hours available per day in the cutting department and the assembly
department are 32 and 84 respectively. If the company makes a profit of E50 on each standard
tent and E80 on each expedition tent, use the graphical method to determine how many tents
of each type should be manufactured each day to maximize the total daily profit?

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