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Graph each constraint to find the corner points, then give the optimal solution for each objective function. The graph axes should be "Number Produced" for each job. You are freelancing as a producer for podcasters and currently have 180 hours a month available for production. You currently have two clients. Job A takes you 8 hours per podcast. Job B requires 12 hours per podcast. You are contractually obligated to produce at least 5 podcasts per month for each client, but can produce up to 12 podcasts per month for client A and up to 9 for Client B. How many podcasts should you produce for each client under the following payment scenarios? -20- -10- 0 10 20 30 1. Job A: $200/podcast Job B: $220/podcast. Episodes of A Episodes of B Total Revenue 2. Job A: $200/podcast Job B: $320/podcast. Episodes of A Episodes of B Total Revenue 3. Job A: $200/podcast Job B: $300/podcast. Episodes of A Episodes of B Total Revenue 4. If a more lucrative job came along, how many hours would you have available to work on it?

Graph each constraint to find the corner points, then give the optimal solution for each objective function. The graph axes should be "Number Produced" for each job. You are freelancing as a producer for podcasters and currently have 180 hours a month available for production. You currently have two clients. Job A takes you 8 hours per podcast. Job B requires 12 hours per podcast. You are contractually obligated to produce at least 5 podcasts per month for each client, but can produce up to 12 podcasts per month for client A and up to 9 for Client B. How many podcasts should you produce for each client under the following payment scenarios? -20- -10- 0 10 20 30 1. Job A: $200/podcast Job B: $220/podcast. Episodes of A Episodes of B Total Revenue 2. Job A: $200/podcast Job B: $320/podcast. Episodes of A Episodes of B Total Revenue 3. Job A: $200/podcast Job B: $300/podcast. Episodes of A Episodes of B Total Revenue 4. If a more lucrative job came along, how many hours would you have available to work on it?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 13T
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Graph each constraint to find the corner points, then give the optimal solution for each objective function. The graph axes should be "Number Produced" for each job. You are freelancing as a producer for podcasters and currently have 180 hours a month available for production. You currently have two clients. Job A takes you 8 hours per podcast. Job B requires 12 hours per podcast. You are contractually obligated to produce at least 5 podcasts per month for each client, but can produce up to 12 podcasts per month for client A and up to 9 for Client B. How many podcasts should you produce for each client under the following payment scenarios? -20 -10 0 10 20 1. Job A: $200/podcast Job B: $220/podcast. Episodes of A Episodes of B Total Revenue 2. Job A: $200/podcast Job B: $320/podcast. Episodes of A Episodes of B Total Revenue 30 3. Job A: $200/podcast Job B: $300/podcast. Episodes of A Episodes of B Total Revenue 4. If a more lucrative job came along, how many hours would you have available to work on it?
Transcribed Image Text:Graph each constraint to find the corner points, then give the optimal solution for each objective function. The graph axes should be "Number Produced" for each job. You are freelancing as a producer for podcasters and currently have 180 hours a month available for production. You currently have two clients. Job A takes you 8 hours per podcast. Job B requires 12 hours per podcast. You are contractually obligated to produce at least 5 podcasts per month for each client, but can produce up to 12 podcasts per month for client A and up to 9 for Client B. How many podcasts should you produce for each client under the following payment scenarios? -20 -10 0 10 20 1. Job A: $200/podcast Job B: $220/podcast. Episodes of A Episodes of B Total Revenue 2. Job A: $200/podcast Job B: $320/podcast. Episodes of A Episodes of B Total Revenue 30 3. Job A: $200/podcast Job B: $300/podcast. Episodes of A Episodes of B Total Revenue 4. If a more lucrative job came along, how many hours would you have available to work on it?
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