Exhibit 4-4 A Company Blends Nitrogen and Phosphorous to Produce Two Types

question 8

Essay

Exhibit 4-4
A company blends nitrogen and phosphorous to produce two types of fertilizers. Fertilizer 1 must be at least 50% nitrogen and sells for $55 per pound. Fertilizer 2 must be at least 55% phosphorous and sells for $45 per pound. The company can purchase up to 9000 pounds of nitrogen at $20 per pound and up to 12,000 pounds of phosphorous at $12 per pound.
-Refer to Exhibit 4-4.Assuming that all fertilizer produced can be sold,determine the optimal blending plan for the company.What is the maximum profit

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Definitions:

Uniform Density

A measure indicating that mass is evenly distributed throughout a substance or object, so each unit volume has identical mass.

Probability

Probability refers to the measure of the likelihood that an event will occur, quantified as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Poisson Approximation

A statistical technique used to estimate the probability of a given number of events happening in a fixed interval of time or space when these events occur with a known constant mean rate and independently of the time since the last event.

Probability

An indicator representing the probability or odds of a specific event happening, with its value ranging from 0 to 1.