3. Professor Martinez wants to make a rectangular box with an open top to hold all her Christmas cookies. She designs the box so that it has a volume of 10in3and the length of its base is twice the width. After going to a local craft store, she also finds that the base costs $10 per square inch. Material for the sides cost $6 per square inch. a. Sketch and label a diagram illustrating this situation and label it. b. Find the dimensions that will result in a box with the lowest cost. Your work must include work showing that your answer is, in fact, the lowest cost

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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3. Professor Martinez wants to make a rectangular box with an open top to hold all her
Christmas cookies. She designs the box so that it has a volume of 10in3and the length
of its base is twice the width. After going to a local craft store, she also finds that the
base costs $10 per square inch. Material for the sides cost $6 per square inch.
a. Sketch and label a diagram illustrating this situation and label it.
b. Find the dimensions that will result in a box with the lowest cost. Your work
must include work showing that your answer is, in fact, the lowest cost
Transcribed Image Text:3. Professor Martinez wants to make a rectangular box with an open top to hold all her Christmas cookies. She designs the box so that it has a volume of 10in3and the length of its base is twice the width. After going to a local craft store, she also finds that the base costs $10 per square inch. Material for the sides cost $6 per square inch. a. Sketch and label a diagram illustrating this situation and label it. b. Find the dimensions that will result in a box with the lowest cost. Your work must include work showing that your answer is, in fact, the lowest cost
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