Question

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DATA CENTER REDESIGN You are a data center manager and have been asked by your boss to redesign a telecommunications room in one of your smaller facilities. One element of this redesign you would like to optimize is the rack structure – your goal is to provide the greatest amount of equipment storage (by weight) within the cost constraints of the project. There are two types of storage racks you can choose from. Rack A costs $400 per unit, requires three square feet of floor space, and can support up to 80 pounds of equipment. Rack B costs $800 per unit, requires four square feet of floor space, and can support up to 120 pounds of equipment. Your budget for this aspect of the project is $5600, though of course you don’t have to spend all of it. Additionally, you can allocate at most 36 square feet of floor space to the racks in this room. How many of each type of rack should you buy in order to maximize the amount of equipment that could be supported?

1.    What are your variables for this project? Assign each a letter and describe them in words.

2.    What is the objective function you are being asked to maximize? Assign it a variable, define it in words, and provide an equation for it using the variables you defined above.

3.    There are four constraints for this problem (hint: one is for the cost of the racks, one is for floor space, and two other ‘natural’ constraints). Write these four constraints in equation form

Answer 1