The Green Leaf Bakery Makes Two Types of Chocolate Cakes $\lambda$

question 97

Short Answer

The Green Leaf Bakery makes two types of chocolate cakes, Delicious and Extra Delicious. Each Delicious requires 0.1 lb of European chocolate, while each Extra Delicious requires 0.2 lb. Currently there are only 230 lb of chocolate available each month. Suppose the profit function is given by: where x is the number of Delicious cakes and y is the number of Extra Delicious cakes that the bakery produces each month.
(a) How many of each cake should the bakery produce each month to maximize profit?
(b) What is the value of $\lambda$ ? What does it mean?
(c) It will cost $36.00 to get an extra pound of European chocolate. Should the bakery buy it?

Appreciate the historical and social contexts that nurture the development of sociology.

Understand the importance of connections between personal troubles and social structures.

Understand the concept of the sociological imagination as introduced by C. Wright Mills.

Identify and differentiate between micro-structures, social structures, macro-structures, and global structures within society.

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Definitions:

Probably True

A statement or idea that is likely to be correct or accurate based on the available evidence.

Tautology

An expression or phrase that redundantly states the same concept in different words, effectively redundant in its logical or semantic content.

Grammatical Construction

The arrangement and relationship of words, phrases, and clauses in a sentence to convey meaning effectively.

Necessarily True

A statement that cannot be false under any circumstance.