A Bakery Produces Muffins and Doughnuts

question 85

Short Answer

A bakery produces muffins and doughnuts.Let x₁ be the number of doughnuts produced and x₂ be the number of muffins produced.The profit function for the bakery is expressed by the following equation: profit = 4x₁ + 2x₂ + 0.3x₁² + 0.4x₂².The bakery has the capacity to produce 800 units of muffins and doughnuts combined and it takes 30 minutes to produce 100 muffins and 20 minutes to produce 100 doughnuts.There is a total of 4 hours available for baking time.There must be at least 200 units of muffins and at least 200 units of doughnuts produced.How many doughnuts and muffins should the bakery produce in order to maximize profit?

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Definitions:

Servant Leadership

A leadership philosophy that emphasizes the importance of serving others, prioritizing the welfare of the team, and fostering a sense of community.

Self-Interests

Individual motivations and preferences that drive personal decisions and behavior, often focused on achieving personal benefits.

Genuine Concern

Authentic empathy or worry for the well-being of others.

Servant Leader

A leadership philosophy centered on serving others first, focusing on the growth and well-being of communities and people, and putting the needs of others before one's own.