Jones Furniture Company Produces Beds and Desks for College Students

question 22

Essay

Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited so at most 8 will be produced.
a.Formulate the LP model for this problem.
b.Solve the problem using the graphical method.

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Definitions:

Emission Allowances

Emission allowances are permits or credits that allow the holder to emit a certain amount of pollutants over a set period.

Aggregate Emissions

The total amount of emissions (such as CO2, methane) released into the atmosphere by a specific entity, region, or activity, contributing to environmental impacts like climate change.

Sustainability Initiatives

Practices and strategies companies implement to manage and improve the environmental, social, and economic impacts of their operations.

Financial Performance

A measure of a company's profit, revenue, expenses, and cash flow, indicating how well it can generate earnings relative to its revenue, assets, equity, and other aspects of its business.