Muir Manufacturing Produces Two Popular Grades of Commercial Carpeting Among

question 11

Essay

Muir Manufacturing produces two popular grades of commercial carpeting among its many other products.In the coming production period,Muir needs to decide how many rolls of each grade should be produced in order to maximize profit.Each roll of Grade X carpet uses 50 units of synthetic fiber,requires 25 hours of production time,and needs 20 units of foam backing.Each roll of Grade Y carpet uses 40 units of synthetic fiber,requires 28 hours of production time,and needs 15 units of foam backing.​
The profit per roll of Grade X carpet is $200,and the profit per roll of Grade Y carpet is $160.In the coming production period,Muir has 3000 units of synthetic fiber available for use.Workers have been scheduled to provide at least 1800 hours of production time (overtime is a possibility).The company has 1500 units of foam backing available for use.​
Develop and solve a linear programming model for this problem.

Evaluate the financial implications of replacing equipment.

Understand the impact of fixed and variable costs on product line decisions.

Recognize the components and significance of capital budgeting.

Calculate and interpret the cash payback period.

---

Definitions:

Circadian Rhythm

The natural, internal process that regulates the sleep-wake cycle and repeats roughly every 24 hours.

Circadian Rhythms

Biological processes that display an endogenous, entrainable oscillation of about 24 hours, affecting sleep patterns, hormone release, and other bodily functions.

Plants

Living organisms belonging to the kingdom Plantae that typically produce their own food through photosynthesis and have cell walls.

Depressants

Substances that reduce the activity of the central nervous system, often used to induce calmness, reduce anxiety, or promote sleep.