Sunseel Industries Produces Two Types of Raw Materials a and B

question 51

Essay

Sunseel Industries produces two types of raw materials A and B, with a production cost of $4 and $8 per unit, respectively. The combined production of the raw materials A and B must be at least 700 units per month. At least 400 units of the raw material B and not more than 1200 units of the raw material A must be produced per month. The processing time for the raw material A is observed to be 5 hours and for B, it is found to be 4 hours. A total of 3000 such hours are available per month. How much of each raw material should be produced in order to minimize the cost. Develop a linear program that Sunseel Industries can use to determine how many units of each raw material to produce to minimize the total cost.

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Definitions:

Categorical Variable

A variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual to a particular group or nominal category.

Quantitative Variable

A type of variable that represents measurable quantities and can be expressed in numeric values.

Time Plots

Charts that display values against time, allowing for the observation of trends, patterns, and seasonal variations in data series.

Explanatory Variable

In statistical modeling, an explanatory variable is one that is manipulated or categorized to assess its effect on a response variable.