A Pastry Store Wants to Know How Many Dozen Muffins

question 16

Essay

A pastry store wants to know how many dozen muffins to bake each day. Every dozen they sell fresh in the shop returns a profit of $5.00. Every dozen they bake but do not sell on the day they are baked is given to a local charity at a loss of $3.00 a dozen. The business is fairly stable in that they never sell less than 50 dozen nor more than 80 dozen muffins. Their sales history, rounded to the nearest ten dozen muffins is as shown:
$$\begin{array} { c c } \text { Dozens of } & \text { Number of Days } \\ \underline{\text { Muffins Sold }} & \underline{\text { That Mary Sold} } \\ 50 & 12 \\60 & 37 \\70 & 45 \\80 & 18\end{array}$$ They want to run a ten day simulation for production rates of 50, 60, 70, and 80 muffins to determine the profit loss) for each. They generated the following random numbers for days 1?10 respectively: 63, 13, 67, 50, 71, 25, 44, 00, 56, and 68.
a. What range of random numbers corresponds to 70 muffins sold?
b. What is the profit for day 3 if they make 70 dozen muffins?
c. What is the average daily profit for all ten days) corresponding to 60 dozen muffins made?

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Definitions:

Southeast Asia

A geographic region located to the south of China and to the east of India, known for its diverse cultures, languages, and economies.

Sustainable Development

Development that meets the needs of the present without compromising the ability of future generations to meet their own needs, emphasizing environmental conservation, social equity, and economic growth.

Global Corporations

Global corporations are large companies that operate and provide products or services in multiple countries around the world, often having a significant influence on the global economy.

Multinational Corporations

Large companies that operate in several countries around the world, often having a centralized head office where they coordinate global management.