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DECISION ANALYSIS (HSM-MJNB1W12-S1FIN24_4A-K)

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Bowl = X1

Mug = X2

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ShivaTex has acquired a textile company and is contemplating the future of one of its major plants, located in South Tangerang. Three alternative decisions are being considered: 1) expand the plant and produce lightweight, durable material for possible sales to the military, a market with little  foreign competition; 2) maintain the status quo at the plant, continuing production of textile goods that are subject to heavy foreign competition; 3) sell the plant now. If one of the first two alternatives is chosen, the plant will still be sold at the and of a year. The amount of profit that could be earned by selling the plant in a year depends on foreign market condition, including the status of a trade embargo bill in congress. The following payoff table describe this decision situation:

Decision

State of Nature

Good Foreign Competitive Condition

Poor Foreign Competitive Condition

Expand

$ 800.000

$ 500.000

Maintain status quo

$ 1.300.000

-$150.000

Sell now

$320.000

$320.000

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Atlas Inc. produces

product A and product B.  Each product

must go through two processes.  Each A

produced requires two hours in process 1 and five hours in process 2. Each B

produced requires six hours in process 1 and three hours in process 2.  There are 80 hours of capacity available each

week in each process. Each A produced generates $6.00 in profit for the

company.  Each B produced generates $9.00

in profit for the company. 

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TicToc produces

product A and product B. These products have the following resource

requirements.

Product

Cost/Unit ($)

Labor hours/Unit

A

12

4

B

8

3

The firm has a weekly

production budget of $3000 and a maximum of 1000 hours of labor per week. Each

A produced generates $35.00 in profit for the company.  Each B produced generates $25.00 in profit

for the company.

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While all linear

programming problems have a single objective function, very few, if any, have constraints.

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The optimal solution for a

linear programming problem will always occur at _________

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The objective

function is a linear relationship that ________________some value.

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What is the maximum

number of decision variables that can be solved for graphically?

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The Crumb and Custard

Bakery makes coffee cakes and traditional pastries in large pans. The main

ingredients are flour and sugar. There are 25 pounds of flour and 16 pounds of

sugar available, and the demand for coffee cakes is 5. Five pounds of flour and

2 pounds of sugar are required to make a pan of coffee cakes, and 5 pounds of

flour and 4 pounds of sugar are required to make a pan of traditional pastries.

A pan of coffee cakes has a profit of $2, and a pan of traditional pastries has

a profit of $5. Determine the number of pans of cakes and traditional pastries

to produce each day so that profit will be maximized.

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The area that

contains the values that satisfies all the constraints in a linear programming

problem is known as the _________________ space

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