1.) Johnson City Cooperage manufactures 30-gallon and 55-gallon fiber drums. Each 30-gallon drum takes 30 minutes to make, each 55-gallon drum takes 40 minutes to make, and the company has at most 14,000 minutes available each week. Also, workplace limitations and product demand indicate that the number of 55-gallon drums produced plus half the number of 30-gallon drums produced should be at least 180, and the number of 30-gallon drums should be at least twice the number of 55-gallon drums. If Johnson City Cooperage's manufacturing costs are $4 for each 30-gallon drum and $7 for each 55-gallon drum, how many of each drum should be made each week to satisfy the constraints at minimum cost?2.) Find the minimum cost Johnson City Cooperage manufactures 30-gallon and 55-gallon fiber drums. Each 30-gallon drum takes 30 minutes to make, each 55-gallon drum takes 40 minutes to make, and the company has at most 14,000 minutes available each week. Also, workplacelimitations and product demand indicate that the number of 55-gallon drums produced plus half the number of 30-gallon drums produced should be at least 180, and the number of 30-gallon drums should be at least twice the number of 55-gallon drums. If JohnsonCity Cooperage's manufacturing costs are $4 for each 30-gallon drum and $7 for each 55-gallon drum, how many of each drum should be made each week to satisfy the constraints at minimum cost?30-gallon drums55-gallon drumsFind the minimum cost.$

Answered: Johnson City Cooperage manufactures…

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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1.) Johnson City Cooperage manufactures 30-gallon and 55-gallon fiber drums. Each 30-gallon drum takes 30 minutes to make, each 55-gallon drum takes 40 minutes to make, and the company has at most 14,000 minutes available each week. Also, workplace limitations and product demand indicate that the number of 55-gallon drums produced plus half the number of 30-gallon drums produced should be at least 180, and the number of 30-gallon drums should be at least twice the number of 55-gallon drums. If Johnson City Cooperage's manufacturing costs are $4 for each 30-gallon drum and $7 for each 55-gallon drum, how many of each drum should be made each week to satisfy the constraints at minimum cost?

2.) Find the minimum cost