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

question 11

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 week are denoted as X₁ and X₂ respectively,the function that describes the design department's labor constraint for a week is ________.

• A)3.5X₁ + 4X₂ ≥ 2030
• B)3.5X₁ + 4X₂ ≤ 2030
• C)16X₁ + 14X₂ ≤ 8120
• D)16X₁ + 14X₂ ≥ 8120

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Definitions:

Negative Reinforcement

A behavioral principle where the removal of an adverse stimulus strengthens or increases the likelihood of a desired behavior.

Positive Punishment

Adding an undesirable stimulus to decrease a behavior.

Negative Punishment

A behavioral principle where the removal of a desirable stimulus following a behavior decreases the likelihood of that behavior occurring in the future.

Shaping

Gradual training that rewards behavior progressively closer to the desired one.