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Calculus: Early Transcendentals

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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A store sells two models of laptop computers. The store stocks at least twice as many units of model A as units of model B. The costs to the store for the two models are $700 and $1100, respectively. The management does not want more than $39,600 in computer inventory at any one time, and it wants at least six model A laptop computers and three model B laptop computers in inventory at all times. Write and graph a system of inequalities that describes all possible inventory levels. (Use x for units of product A and y for units of product B. Use lines, not rays or line segments.)

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Write a system of inequalities that describes all the given conditions, and graph the feasible region of the system. Joyce is the marketing director for a new company selling a fashion collection for young women and she wishes to place ads in two magazines: magazine V and magazine E. Joyce estimates that each one-page ad in magazine V will be read by 1.3 million people and each one-page ad in magazine E will be read by 1.2 million people. Joyce wants to reach at least 7 million readers and to place at least 2 ads in each magazine. Write a system of inequalities that describes all the given conditions. Let x represent the number of ads in magazine V and y the number of ads in magazine E. Choose the correct answer below. y X+ X y V (Round to two decimal places as needed.) (1,0) More in Clear All Final Check View an Example Get More Help- Help Me Solve This 62°F Mostly cloudy
United Airlines is looking to purchase new planes. Their budget is 1.4 billion dollars ($1,400 million) and they have 24 pilots available. Airbus offers a plane for $100 million that can seat 130 passengers and requires 2 pilots to fly. Boeing offers a plane for $200 million that can seat 205 passengers and requires 3 pilots to fly. If United wants to fly the maximum amount of passengers at one time given their budget and pilot constraints, how many of each plane should United purchase? Use linear optimization.What is the objective function?
Perth Mining Company operates two mines to extract gold and silver. The Saddle Mine yields 50 oz of gold and 2000 oz of silver each day. The Horseshoe Mine yields 75 oz of gold and 1000 oz of silver each day. The Company set a target at least 600 oz of gold and 20,000 oz of silver. The cost to operate the Saddle Mine costs $14,000 per day and the Horseshoe Mine cost $16,000 per day. How many days should each mine operate to meet the Company's target at a minimum cost? a. write the objective function. Identify variables. b. write the system of inequalities describing the above constraints. c. create a chart to identify the number to minimize cost, label each. also lost the minimum cost.

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