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An ambitious Texas A&M student is training to become a competitive weightlifter in addition. being a math major, Her exercise program has three components: upper body strength, lower body strength, and endurance training. She needs to do at least 7 hours of upper body strength, 5 hours of lower body strength, and 8 hours of endurance training each week. There are three gym programs in College Station she can use. The exercise components of the three gym programs are summarized in the table below.

An ambitious Texas A&M student is training to become a competitive weightlifter in addition. being a math major, Her exercise program has three components: upper body strength, lower body strength, and endurance training. She needs to do at least 7 hours of upper body strength, 5 hours of lower body strength, and 8 hours of endurance training each week. There are three gym programs in College Station she can use. The exercise components of the three gym programs are summarized in the table below.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An ambitious Texas A&M student is training to become a competitive weightlifter in addition to being a math major. Her exercise program has three components: upper body strength, lower body strength, and endurance training. She needs to do at least 7 hours of upper body strength, 5 hours of lower body strength, and 8 hours of endurance training each week. There are three gym programs in College Station she can use. The exercise components of the three gym programs are summarized in the table below. Gym Program 1 Gym Program 2 Gym Program 3 x-Select- y-Select- Z=-Select- C-Select- Minutes of Minutes of Minutes of upper body strength lower body strength endurance training 34 36 Select v 22 34 23 non-negativity constraints 36 lower body strength constraint in minutes 31 25 40 The student wants to determine the number of sessions at each gym she should attend in order to achieve her goals in the cheapest way possible. (a) Identify and clearly define the variables needed to solve the linear programming problem. endurance training constraint in minutes Cost 32 (b) Find the objective function. Select whether it's maximizing or minimizing in the first answer blank and enter your equation in the second answer blank. (Hint: Your equation must be written in the form C =, where the variable you are maximizing or minimizing is on the left side of the equal sign.) 45 32 (c) The objective function is subject to constraints. Determine the constraints below. (Hint: Write the constraints line by line. Separate the non-negativity constraints with commas.) upper body strength constraint in minutes
Transcribed Image Text:An ambitious Texas A&M student is training to become a competitive weightlifter in addition to being a math major. Her exercise program has three components: upper body strength, lower body strength, and endurance training. She needs to do at least 7 hours of upper body strength, 5 hours of lower body strength, and 8 hours of endurance training each week. There are three gym programs in College Station she can use. The exercise components of the three gym programs are summarized in the table below. Gym Program 1 Gym Program 2 Gym Program 3 x-Select- y-Select- Z=-Select- C-Select- Minutes of Minutes of Minutes of upper body strength lower body strength endurance training 34 36 Select v 22 34 23 non-negativity constraints 36 lower body strength constraint in minutes 31 25 40 The student wants to determine the number of sessions at each gym she should attend in order to achieve her goals in the cheapest way possible. (a) Identify and clearly define the variables needed to solve the linear programming problem. endurance training constraint in minutes Cost 32 (b) Find the objective function. Select whether it's maximizing or minimizing in the first answer blank and enter your equation in the second answer blank. (Hint: Your equation must be written in the form C =, where the variable you are maximizing or minimizing is on the left side of the equal sign.) 45 32 (c) The objective function is subject to constraints. Determine the constraints below. (Hint: Write the constraints line by line. Separate the non-negativity constraints with commas.) upper body strength constraint in minutes
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