Hi there, please help me with solving this problem please. Please clearly indicate all parts of answer(s). I would really appreciate if you could include all steps to solve the problem as well. Thank you very much! Guidelines for Optimization ProblemsRead the problem carefully, identify the variables, and organize the given information witha picture.1.Identify the objective function (the function to be optimized). Write it in terms of thevariables of the problem.2.3.Identify the constraint. Write them in terms of the variables of the problem.4.Use the constraint to eliminate all but one independent variable of the objective function.5.With the objective function expressed in terms of a single variable, find the interval ofinterest for that variable.Use methods of calculus to find the absolute maximum or minimum value of the objectivefunction on the interval of interest. If necessary, check the endpoints.6. 2. A farmer wants to fence off three identical adjoining rectangular pens, each 400 square feet in area.You want to find the length and width of each pen so that the least amount of fence is used.Quantity to optimize (with formula if possible):Constraint:Domain (fill in after getting a single-variable formula):

Given: # identical rectangular pens, with each has area 400 ft2. To find: Length and width of…

2. A farmer wants to fence off three identical adjoining rectangular pens, each 400 square feet in area. You want to find the length and width of each pen so that the least amount of fence is used. Quantity to optimize (with formula if possible): Constraint: Domain (fill in after getting a single-variable formula):

2. A farmer wants to fence off three identical adjoining rectangular pens, each 400 square feet in area. You want to find the length and width of each pen so that the least amount of fence is used. Quantity to optimize (with formula if possible): Constraint: Domain (fill in after getting a single-variable formula):

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 21E: Making furniture Two woodworkers, Chase and Devin, get 100 for making a table and 80 for making a...

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