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:

Insulin

A secretion from the pancreas that plays a key role in controlling blood glucose concentrations by assisting in the transportation of glucose into the cells.

Pima Indians

A Native American group primarily living in Arizona, known for their unique genetic makeup which has been extensively studied in diabetes research.

Genetics

The branch of biology that deals with heredity and variation in organisms.

Diet

The combination of foods and beverages consumed by an individual, which can affect health and well-being.