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). Which point maximizes income of Himig? (x,y)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 8T
icon
Related questions
icon
Concept explainers
Topic Video
Question

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).

Which point maximizes income of Himig? (x,y)

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning