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Operations Research20825 marksNumerical: LPP formulationFormulation of linear programming problems

The TechZone Software Company combines two key resources - Front-End Developers (A) and Back-End Developers (B) - to complete a software system that must involve exactly 150 person-hours of total work. Each Front-End Developer hour costs Rs. 2,000, and each Back-End Developer hour costs Rs. 8,000. T

The TechZone Software Company combines two key resources - Front-End Developers (A) and Back-End Developers (B) - to complete a software system that must involve exactly 150 person-hours of total work. Each Front-End Developer hour costs Rs. 2,000, and each Back-End Developer hour costs Rs. 8,000. The company must use at least 14 hours of Back-End work and no more than 20 hours of Front-End work in a project. Formulate objective function and constraints of this LPP. [5]

Decision variables: - $A$ = number of Front-End Developer hours - $B$ = number of Back-End Developer hours Numeric inputs: - Total work required: exactly 150 person-hours - Cost per Front-End hour: Rs. 2,000 - Cost per Back-End hour: Rs. 8,000 - Minimum Back-End work: at least 14 hours - Maximum ...

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