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Non-Slip Tile Company (NST)has Been Using Production Runs of 100,000

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Non-Slip Tile Company (NST)has been using production runs of 100,000 tiles,10 times per year to meet the demand of 1,000,000 tiles annually.The setup cost is $5000 per run,and holding cost is estimated at 10% of the manufacturing cost of $1 per tile.The production capacity of the machine is 500,000 tiles per month.The factory is open 365 days per year.​
a.What production schedule do you recommend?
b.How much is NST losing annually with its present production schedule?
c.What is the maximum number of tiles in inventory under the current policy? Under the optimal policy?
d.What fraction of time is the machine idle (not producing tiles)under the current policy? Under the optimal policy?

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Definitions:

Citric Acid Cycle

A series of chemical reactions used by all aerobic organisms to generate energy through the oxidation of acetate derived from carbohydrates, fats, and proteins into carbon dioxide and water.

Acetyl CoA

A central molecule in metabolism, acting as a substrate for the citric acid cycle and involved in the synthesis and oxidation of fatty acids.

ATP Synthase Complex

An enzyme complex found in mitochondria and chloroplasts that generates ATP, the primary energy carrier in cells, during cellular respiration and photosynthesis.

Protons

Positively charged subatomic particles found in the nucleus of an atom, determining the element's identity and some of its properties.

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