Joe's Electronics produces headphones and speakers. Each set of headphones sells for $50, and each set of speakers sells for $60. Joe is considering outsourcing the production of some headphones and speakers to Bobbie's Tech Company. Bobbie will charge Joe $38 for each set of headphones and $45 for each set of speakers. Let HJ represent the number of headphones and SJ the number of speakers produced by Joe. Let HB represent the number of headphones and SB the number of speakers produced by Bobbie. Which of the following is true?

Joe will keep $45 of revenue for each set of speakers produced by Bobbie.

The objective function to maximize revenue without outsourcing is 60HJ + 50SJ.

Joe will keep $15 of revenue for each set of speakers produced by Bobbie.

Joe will keep $38 of revenue for each set of headphones produced by Bobbie.

Question

22-06-2024
Mathematics

Answered

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Joe's Electronics produces headphones and speakers. Each set of headphones sells for $50, and each set of speakers sells for $60. Joe is considering outsourcing the production of some headphones and speakers to Bobbie's Tech Company. Bobbie will charge Joe $38 for each set of headphones and $45 for each set of speakers. Let HJ represent the number of headphones and SJ the number of speakers produced by Joe. Let HB represent the number of headphones and SB the number of speakers produced by Bobbie. Which of the following is true?

Joe will keep $45 of revenue for each set of speakers produced by Bobbie.

The objective function to maximize revenue without outsourcing is 60HJ + 50SJ.

Joe will keep $15 of revenue for each set of speakers produced by Bobbie.

Joe will keep $38 of revenue for each set of headphones produced by Bobbie.

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