A Coffee Maker Vendor Has Set Up Two Coffee Machines

question 52

Essay

A coffee maker vendor has set up two coffee machines, Machine 1 and Machine 2, inside an organization. The service cost incurred on Machine 1 and Machine 2 is $100 and $80, respectively. The production cost of coffee is $2 per mug for Machine 1 and $3 per mug for Machine 2. There is no service provided by the vendor on Sundays. The weekly production capacity is 1000 mugs for Machine 1 and 1200 mugs for Machine 2, and thereafter the machine needs to be serviced before any extra mug of coffee is to be served. Due to Christmas, the employee attendance at the organization is going to be low and only one machine has to be used to serve at least 800 mugs of coffee in that week in order to minimize the total cost.
Formulate and solve the integer programming model that could be used to determine the coffee machine which minimizes the cost.

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Definitions:

Stockholder Basis

The total amount invested in a company by shareholders, including the purchase price of shares, which is used to determine capital gains or losses for tax purposes.

Capital

Financial assets or resources that businesses or individuals use to fund operations, investments, and growth.

Ordinary Business Income

Income earned from the normal business operations, subject to regular tax rates.

Subchapter S

A section of the Internal Revenue Code that allows corporations to pass income directly to shareholders and avoid double taxation while retaining the benefits of corporate structure.