Zen Inc Manufactures Two Types of Products, the G

question 37

Essay

Zen Inc. manufactures two types of products, the G.1 and the T.1 models. The manufacturing process consists of two principal departments: production and assembly. The production department has 58 skilled workers, each of whom works 7 hours per day. The assembly department has 25 workers, who also work a 7-hour shift. On an average, to produce a G.1 model, Zen Inc. requires 3.5 labor hours for production and 2 labor hours for assembly. The T.1 model requires 4 labor hours for production and 1.5 labor hours in assembly. The company anticipates selling at least 1.5 times as many T.1 models as G.1 models. The company operates five days per week and makes a net profit of $130 on the G.1 model, and $150 on the T.1 model. Zen Inc. wants to determine how many of each model should be produced on a weekly basis to maximize net profit. Formulate the problem.
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Let the number of G.1 product produced each week be G
Let the number of T.1 product produced each week be T
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Maximize 130G + 150T
s.t.
production's labor constraint 3.5G + 4T <= 2030
assembly's labor constraint 2G + 1.5T <= 875
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Definitions:

Decisions

Resolutions or conclusions reached after consideration or deliberation by individuals, groups, or organizations.

Action

The process or state of acting or being active; a deed or movement.

Stakeholder Theory

A management concept that asserts that the interests of all stakeholders, not just shareholders, should be considered in the decision-making process of an organization.

Corporate Social Responsibility

A business model where companies integrate social and environmental concerns in their operations and interactions with stakeholders.