(3) A rectangular enclosure is to be built with brick used as the material for three...

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(3) A rectangular enclosure is to be built with brick used as the material for three of the retaining walls and fencing used for the one remaining wall. The enclosure needs to have an area of 540 square feet. The cost for the specific brick walls being built is $90 per foot of wall. The cost for the fencing used is $22 per foot of wall. What are the dimensions (length and width) of the rectangular enclosure that will minimize the cost required to build it? Draw a picture/ sketch summarizing the information presented in this problem. Clearly define any vari- ables you are using. Then, create the objective equation and the constraint equation of this optimization problem. Provide the objective equation in terms of one variable only. The objective equation in terms of one variable is: The constraint equation is: (3) A rectangular enclosure is to be built with brick used as the material for three of the retaining walls and fencing used for the one remaining wall. The enclosure needs to have an area of 540 square feet. The cost for the specific brick walls being built is $90 per foot of wall. The cost for the fencing used is $22 per foot of wall. What are the dimensions (length and width) of the rectangular enclosure that will minimize the cost required to build it? Draw a picture/ sketch summarizing the information presented in this problem. Clearly define any vari- ables you are using. Then, create the objective equation and the constraint equation of this optimization problem. Provide the objective equation in terms of one variable only. The objective equation in terms of one variable is: The constraint equation is: