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Exhibit 3.1 The Following Questions Are Based on This Problem and Accompanying

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Exhibit 3.1
The following questions are based on this problem and accompanying Excel windows.
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.
Let X1 = Number of Beds to produce X2 = Number of Desks to produce
The LP model for the problem is
MAX: 30 X1 + 40 X2
Subject to: 6 X1 + 4 X2 ≤ 36 carpentry)
4 X1 + 8 X2 ≤ 40 varnishing)
X2 ≤ 8 demand for desks)
X1,X2 ≥ 0
Exhibit 3.1 The following questions are based on this problem and accompanying Excel windows. 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. Let <sup>X</sup><sub>1 </sub><sup>= Number of Beds to produce </sup>X<sub>2 </sub>= Number of Desks to produce The LP model for the problem is MAX: <sup>30 X</sup><sub>1 </sub><sup>+ 40 X</sup><sub>2</sub> Subject to: <sup>6 X</sup><sub>1 </sub><sup>+ 4 X</sup><sub>2 </sub><sup>≤ 36 carpentry) </sup> 4 X<sub>1 </sub>+ 8 X<sub>2 </sub>≤ 40 varnishing)  X<sub>2 </sub>≤ 8 demand for desks)  X<sub>1</sub>,X<sub>2 </sub>≥ 0    -You have been given the following linear programming model. MAX: <sup>8 X</sup><sub>1 </sub><sup>+ 5 X</sup><sub>2</sub> Subject to: <sup>3 X</sup><sub>1 </sub><sup>+ 5 X</sup><sub>2 </sub><sup>= 54</sup> 11 X<sub>1 </sub>+ 10 X<sub>2 </sub>≤ 144 X<sub>1 </sub>≥12 X<sub>2</sub> X<sub>1</sub>,X<sub>2 </sub>≥ 0 This formulation is: A) not an LP formulation.Pre-processing is required to make it linear. B) a transportation problem C) a transshipment problem D) the assignment problem
-You have been given the following linear programming model.
MAX: 8 X1 + 5 X2
Subject to: 3 X1 + 5 X2 = 54
11 X1 + 10 X2 ≤ 144 X1 ≥12 X2
X1,X2 ≥ 0
This formulation is:


Definitions:

Income Statement Columns

Sections within an income statement that categorize financial data, such as revenues and expenses, to help in analyzing a company's financial performance over a specific period.

Companionate Grandparenting

A style of grandparenting characterized by emotional closeness and mutual enjoyment in spending time with grandchildren.

Parenting

The activity of raising and nurturing children with the goal of helping them develop physically, emotionally, socially, and intellectually.

Loving

Expressing or feeling deep affection, care, and attachment towards someone or something.

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