Billyboy Toys' Toy Balls, Bats, and Gloves Net Profits, Excluding $\le$

question 20

Multiple Choice

Billyboy Toys' toy balls, bats, and gloves net profits, excluding fixed costs, of $7, $8, and $13 respectively.The products require 2, 3, and 5 production hours each.Using current facilities, 1600 production hours are available for the production of these products each month.If Billyboy also leases a second, smaller production facility for $3000 per month, this will increase the availability of production hours for these products by 800.This situation can be modeled using a mixed integer model that includes the following:

• A)An objective function of: MAX 7X₁ + 8X₂ + 13X₃ Constraints including: 2X₁ + 3X₂ + 5X₃ \(\le\) 2400
• Variable constraints including X₁, X₂, X₃ \(\ge\)0
• B)An objective function of: MAX 7X₁ + 8X₂ + 13X₃ - 3000Y₁ Constraints including: 2X₁ + 3X₂ + 5X₃ - 800Y₁ \(\le\)2400
• Variable constraints including X₁, X₂, X₃= 0, Y₁ = 0 or 1
• C)An objective function of: MAX 7X₁ + 8X₂ + 13X₃ - 3000Y₁ Constraints including: 2X₁ + 3X₂ + 5X₃ + 800Y₁\(\le\)1600
• Variable constraints including X₁, X₂, X₃ \(\ge\) 0, Y₁ = 0 or 1
• D)An objective function of: MAX 7X₁ + 8X₂ + 13X₃ - 3000Y₁

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Definitions:

Fostering Action Plans

Developing and implementing strategies to achieve specific goals, often involving the coordination of resources and tasks.

Herzberg's Two-factor Theory

A theory in organizational psychology that distinguishes between motivation factors, which encourage employees, and hygiene factors, which can cause dissatisfaction if absent but not necessarily motivate when present.

Satisfier

This term often refers to a factor that contributes to an individual's satisfaction, potentially leading to motivation or a positive state of well-being.

Advancement

Progress or development within a career or organization, often marked by promotions, increased responsibilities, or professional growth.