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Your boss at the construction company you work at has asked you to find out how much it will cost to build a rectangular house.

Your boss at the construction company you work at has asked you to find out how much it will cost to build a rectangular house. He wants the interior to be able to hold 1280 cubic feet of volume. He tells you that he wants the walls to be made of gold, which costs 5.20 dollars per square inch. He tells you that the buyer doesnt care about the floors or ceilings and wants to use plastic which only costs 0.20 dollars per square inch. The width of the base is 5 times larger than the length. Find the cheapest way to build the house so your boss can maximize profits. A.) Draw the house with dimensions B.) What is the constraint(s) of this problem? C.) What is the objective function of this problem? D.) State the objective function in terms of x only E.) What is the cheapest price you can build this house at?

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