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Billy's Blues sells 3 types of T-shirts: Astro, Bling, and Curious. Manufacturing Astros requires 2 minutes of machine time and 20 minutes of labor, and costs $10. Brand Bling requires 2.5 minutes of machine time and 30 minutes of labor, and costs $14 to produce. Brand Curious requires 3 minutes of machine time and 45 minutes of labor, and costs $18 to produce. There are 300 machining hours available per week, 3750 labor hours, and he has a budget of $3000. Brand Astro sells for $15, Brand Bling for $18, and Brand Curious for $25.
The LP formulation that maximizes week profit shown below.
MAX 15A +18B + 25 C
s.t.
2A + 2.5B + 3C ? 300
20A + 30B + 45C ? 3750
10A + 14B + 18C ? 3000
The solution from QM for Windows is show below.
-If one of Billy's machines breaks down, it usually results in about 6 hours of downtime. When this happens, Billy's profits are reduced by:
Rawls
Refers to John Rawls, an American political philosopher known for his theories of justice and "the veil of ignorance."
Morality of Principles
Involves ethical decision-making based on abstract, universal principles such as justice, equality, and respect for individual rights, rather than on personal or societal consequences.
Rawls
A philosopher known for his theory of justice which proposes principles of justice to structure society, emphasizing fairness and equality.
Morals
Principles or habits with respect to right or wrong conduct, typically reflecting personal or cultural values.
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