Formulate the following linear programming problem. Be sure to identify thevariables, the constraints, and the objective function: The government has mobilized toinoculate the student population against sleeping sickness. There are 200 doctors and 450nurses available. An inoculation team can consist of either 1 doctor and 3 nurses (called afull team) or 1 doctor and 2 nurses (called a half team). On average, a full team can inoculate180 people per hour, while a half team can inoculate 100 people per hour. How many teamsof each type should be formed to maximize the number of inoculations per hour?
Formulate the following linear programming problem. Be sure to identify thevariables, the constraints, and the objective function: The government has mobilized toinoculate the student population against sleeping sickness. There are 200 doctors and 450nurses available. An inoculation team can consist of either 1 doctor and 3 nurses (called afull team) or 1 doctor and 2 nurses (called a half team). On average, a full team can inoculate180 people per hour, while a half team can inoculate 100 people per hour. How many teamsof each type should be formed to maximize the number of inoculations per hour?
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 33E
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Formulate the following linear programming problem. Be sure to identify the
variables, the constraints, and the objective function: The government has mobilized to
inoculate the student population against sleeping sickness. There are 200 doctors and 450
nurses available. An inoculation team can consist of either 1 doctor and 3 nurses (called a
full team) or 1 doctor and 2 nurses (called a half team). On average, a full team can inoculate
180 people per hour, while a half team can inoculate 100 people per hour. How many teams
of each type should be formed to maximize the number of inoculations per hour?
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