Minimizing Production Costs: Widget and Product Constraints

School
The American School of Dubai**We aren't endorsed by this school
Course
SOC 315
Subject
Mathematics
Date
Dec 11, 2024
Pages
1
Uploaded by CaptainTeamReindeer44
1. A factory produces two types of widgets, A and B. The cost to produce widget A is represented by the equation C_A = 3x + 4y, where x is the number of widget A produced andy is the number of widget B produced. If the factory wants to minimize costs while producing 100 widgets in total, which equation represents the constraint? A) x + y = 100 B) 3x + 4y = 100 C) x - y = 100 D) 4x + 3y = 100 2. A company can produce two products, X and Y, with the following cost function: C(x, y) = 5x^2 + 3y^2 + 2xy. If the company wants to minimize costs and produce 10 units of productX and Y combined, what is the constraint equation? A) x + y = 10 B) 5x + 3y = 10 C) x - 2y = 10 D) 2x + 3y = 10 3. A manufacturer has a budget of
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