Himig has two part-time jobs, as an assistant worker in a fast food chain (Job 1) and and as a receptionist at a small hotel (Job 2). Due to her heavy load in her studies, Himig can only render 12 hours a week in her jobs. She has determined that for every hour she works at Job 1, she needs 2 hours of preparation time, and for every hour she works at Job II, she needs one hour of preparation time, and she cannot spend more than 16 hours for preparation. If Himig makes Php 40 an hour at Job 1, and Php30 an hour at Job 2, how many hours should she work per week at each job to maximize her income? (Let x = Job 1; y = Job 2). What are the three constraints? * 6 points x 2 0 ; y 2 0 2x + y s 16 x + y s 12 2x + y > 16 x < 0; y s0 X + y 2 12

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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Problem Solving (1)
Himig has two part-time jobs, as an assistant worker in a
fast food chain (Job 1) and and as a receptionist at a
small hotel (Job 2). Due to her heavy load in her studies,
Himig can only render 12 hours a week in her jobs. She
has determined that for every hour she works at Job 1,
she needs 2 hours of preparation time, and for every hour
she works at Job II, she needs one hour of preparation
time, and she cannot spend more than 16 hours for
preparation. If Himig makes Php 40 an hour at Job 1, and
Php30 an hour at Job 2, how many hours should she work
per week at each job to maximize her income? (Let x =
Job 1; y = Job 2).
What are the three constraints? *
6 points
x 2 0; y > 0
2x + y < 16
x + y s 12
2x + y 2 16
x < 0 ; y < 0
x + y 2 12
2x + y s 0
Transcribed Image Text:8:08 O ll ll 80% docs.google.com/forms/d/e/1FAI *Required Problem Solving (1) Himig has two part-time jobs, as an assistant worker in a fast food chain (Job 1) and and as a receptionist at a small hotel (Job 2). Due to her heavy load in her studies, Himig can only render 12 hours a week in her jobs. She has determined that for every hour she works at Job 1, she needs 2 hours of preparation time, and for every hour she works at Job II, she needs one hour of preparation time, and she cannot spend more than 16 hours for preparation. If Himig makes Php 40 an hour at Job 1, and Php30 an hour at Job 2, how many hours should she work per week at each job to maximize her income? (Let x = Job 1; y = Job 2). What are the three constraints? * 6 points x 2 0; y > 0 2x + y < 16 x + y s 12 2x + y 2 16 x < 0 ; y < 0 x + y 2 12 2x + y s 0
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