Determine the optimal model for business


Assignment:

You are looking to open up a cupcake shop in a high-traffic tourist area. In order to get your business open you will need investors to provide you with $250,000 dollars. You are going to be making a pitch to a local bank for a portion of the money. The business environment you are looking to operate in is one in which there is a heavy amount of seasonal business.

However there is not enough non-seasonal business to support long-term growth. Based on this information before you submit your business plan to the bank for consideration you will need to perform a simulation analysis to determine the optimal model for your business. You have made the follow assumptions: Your equipment will allow you to only produce 50 batches of cupcakes per day. You have determined that the daily demand will follow the distribution shown in the following table:

Daily Demand   Probability

  20                    0.08

  25                    0.12

  35                    0.25

  40                    0.20

  45                    0.20

  50                    0.15

You will need $45,000 per month in order for your business to remain solvent. You are going to develop a business plan for the bank based on your top selling item - the bacon chocolate cupcake.

There are 12 cupcakes in every batch for a total of 600 cupcakes made per day. Each batch of bacon chocolate cupcakes costs $45 dollars to make and the entire batch can be sold for $100. You are able to sell any unsold batches for $25 the next day.

Based on your calculations will the business hit the revenue goal of $45,000 per month and be sustainable.

Which batch quantity would recommend and why?

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Business Economics: Determine the optimal model for business
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