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A factory manufactures two types of gadgets, regular and premium. Each gadget requires the use of two operations, assembly and finishing, and there are at most $120$ hours available for each operation. A regular gadget requires $1$ hour of assembly and $2$ hours of finishing, while a premium gadget needs $3$ hours of assembly and $1$ hour of finishing. Due to other restrictions, the company can make at most $70$ gadgets a week. Let $x$ be the number of regular gadgets, and let $y$ be the number of premium gadgets. Enter the inequality for each restriction. Each inequality should be of the form $ax + by \le c,$ where $a,$ $b,$ $c$ are positive integers with no common factor other than $1.$

 

 

Restriction  |  Inequality

Assembly ≤ [  ]

Finishing ≤ [  ]

Total Number of Gadgets ≤ [  ]

 May 21, 2023
 #1
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Assembly: 2x + 3y <= 120

Finishing: 3x + 2y <= 120

Total Number of Gadgets: x + y <= 190

 May 21, 2023

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