Use the Scenario Given Below to Answer the Following Question(s)

question 63

Multiple Choice

Use the scenario given below to answer the following question(s) .
Ray Inc.manufactures two types of gaming consoles,the sp² hybrid and the sp³ hybrid models.The manufacturing process consists of two principal departments: design and production.The design department has 58 skilled workers,each of whom works 7 hours per day.The production department has 25 workers,who also work a 7-hour shift.On an average,to produce an sp² hybrid,Ray Inc.requires 3.5 labor hours for design and 2 labor hours for production.The sp³ model requires 4 labor hours for design and 1.5 labor hours in production.The company anticipates selling at least 1.5 times as many sp³ models as sp² models.The company operates five days per week and makes a net profit of $130 on the sp² model,and $150 on the sp³ hybrid model.Ray Inc.wants to determine how many of each model should be produced on a weekly basis to maximize net profit.
-If the numbers of sp² and sp³ hybrid gaming consoles produced each day are denoted as X₁ and X₂ respectively,the function that describes the production department's labor constraint for a week is ________.

• A)2X₁ + 1.5X₂ ≥ 875
• B)9X₁ + 8X₂ ≤ 3500
• C)2X₁ + 1.5X₂ ≤ 875
• D)9X₁ + 8X₂ ≥ 3500

---

Definitions:

Interested Listener

An individual who actively listens and engages with the information being presented to them.

Raw Data

Unprocessed data or information collected directly from source without any cleaning, modification, or transformation.

Collective Brainstorm

A group technique for solving problems, generating ideas, or fostering creativity by tapping into the collective thinking of the participants.

Synergistic Group Effect

Describes a phenomenon where the collective output of a group is greater than the sum of the outputs of individual members, due to effective collaboration and leveraging diverse skills.