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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  hours available for each operation. A regular gadget requires  hours of assembly and  hours of finishing, while a premium gadget needs  hours of assembly and  hours of finishing. Due to other restrictions, the company can make at most  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 <= c, where a, b, c are positive integers with no common factor other than 1.

 
 May 20, 2023

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