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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?

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?

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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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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