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! 3. We are building a box. The price of the top and bottom material is $15 per square inch and the cost of theside material is $3 per square inch. We also want the length of the base to be 6 times the width of thebase and the enclosed volume to be 20 cubic inches. What dimensions will minimize the cost?Quantity to optimize (with formula if possible):Constraint:Domainin after getting a single-viable for 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.

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Answered: We are building a box. The price of the…

We are building a box. The price of the top and bottom mater side material is $3 per square inch. We also want the length o base and the enclosed volume to be 20 cubic inches. What dir

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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