- Part 1 Rework problem 13 in section 1 of Chapter 7 of your textbook, about the sleeping sickness epidemic, using the following data. Assume that each full team consists of 1 doctor and 4 nurses, and that each half team consists of 1 doctor and 2 nurses. Assume also that there are 205 doctors and 655 nurses available to serve on teams. Assume also that the each full team can inoculate 280 people per hour and that each half team can inoculate 150 people per hour. How many full teams and half teams should be formed in order to maximize the number of inoculations per hour? When you formulate a linear programming problem to solve this problem, how many variables, how many constraints (both implicit and explicit), and how many objective functions should you have? Number of variables: 2 Number of constraints: 4 Number of objective functions: 1 • Part 2 • Part 3 Formulate the linear programming problem for this situation. (Enter either the word Maximize or the word Minimize in the first blank. Type the symbols <= wherever you want a "less than or equal" inequality, i.e., <, and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., 2.) x+ subject to the constraints doctors used on teams: x + nurses used on teams: x + నా

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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• Part 1
Rework problem 13 in section 1 of Chapter 7 of your textbook, about the sleeping sickness epidemic, using the following data. Assume that each full team
consists of 1 doctor and 4 nurses, and that each half team consists of 1 doctor and 2 nurses. Assume also that there are 205 doctors and 655 nurses
available to serve on teams. Assume also that the each full team can inoculate 280 people per hour and that each half team can inoculate 150 people per
hour. How many full teams and half teams should be formed in order to maximize the number of inoculations per hour?
When you formulate a linear programming problem to solve this problem, how many variables, how many constraints (both implicit and explicit), and how
many objective functions should you have?
Number of variables: 2
Number of constraints: 4
Number of objective functions:
1
• Part 2
• Part 3
Formulate the linear programming problem for this situation. (Enter either the word Maximize or the word Minimize in the first blank. Type the symbols <=
wherever you want a "less than or equal" inequality, i.e., <, and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., 2.)
x+
subject to the constraints
doctors used on teams:
x +
nurses used on teams:
x +
出
నా
నా
Transcribed Image Text:• Part 1 Rework problem 13 in section 1 of Chapter 7 of your textbook, about the sleeping sickness epidemic, using the following data. Assume that each full team consists of 1 doctor and 4 nurses, and that each half team consists of 1 doctor and 2 nurses. Assume also that there are 205 doctors and 655 nurses available to serve on teams. Assume also that the each full team can inoculate 280 people per hour and that each half team can inoculate 150 people per hour. How many full teams and half teams should be formed in order to maximize the number of inoculations per hour? When you formulate a linear programming problem to solve this problem, how many variables, how many constraints (both implicit and explicit), and how many objective functions should you have? Number of variables: 2 Number of constraints: 4 Number of objective functions: 1 • Part 2 • Part 3 Formulate the linear programming problem for this situation. (Enter either the word Maximize or the word Minimize in the first blank. Type the symbols <= wherever you want a "less than or equal" inequality, i.e., <, and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., 2.) x+ subject to the constraints doctors used on teams: x + nurses used on teams: x + 出 నా నా
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