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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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