Week 2 _BUSN312
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Week 2 – Linear Programming
Sebastian Blalock American Military University BUSN312: Operations Research
Dr. Shelley Pumphrey
13 May, 2024
2
Problem 1: Objective:
Z = 300R
1 + 400R
2 Constraints: Input Crude A: 5R
1
+ 4R
2
≤ 200
Input Crude B: 3R
1
+ 5R
2
≤ 150
Output Gasoline X: 5R
1
+ 4R
2 ≥ 100
Output Gasoline Y: 8R
1
+ 4R
2 ≥ 80
Non-Negative Constraints:
R
1 R
2 ≥ 0
Problem 2:
Objective: Z = X
1 + X
2
+ X
3
+ X
4
+ X
5
+ X
6
Constraints:
Requirements for each period: X
1
+ X
6
≥ 20 (period 1)
X
2
+ X
1 ≥ 50 (period 2)
X
3
+ X
2 ≥ 80 (period 3)
X
4
+ X
3 ≥ 100 (period 4)
X
5
+ X
4 ≥ 40 (period 5)
X
6
+ X
5 ≥ 30 (period 6)
Each Police Officer works eight consecutive hours:
X
1
+ X
2
+ X
6
≥ 8 (beginning at period 1)
X
2
+ X
3
+ X
1
≥ 8 (beginning at period 2)
X
3
+ X
4
+ X
2
≥ 8 (beginning at period 3)
X
4
+ X
5
+ X
3
≥ 8 (beginning at period 4)
X
5
+ X
6
+ X
4
≥ 8 (beginning at period 5)
X
6
+ X
1
+ X
5
≥ 8 (beginning at period 6)
Non-Negative Constraints:
X
1 ,X
2 ,X
3 ,X
4 ,X
5 ,X
6 ≥ 0
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00
Company A is currently manufacturing a component but is considering buying the component from a
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O d. purchase price from supplier
O e. all of these
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a,c and d
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Exercises 18-41 (Algo) Allocation of Central Costs; Profit Centers [LO 18-3]
Woodland Hotels Incorporated operates four resorts in the heavily wooded areas of northern California. The resorts are named after
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Enter all answers as positive numbers.
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Increase
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50
35
$235
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Margin of Safety
Yellow Sticker Company's variable expenses are 40% of sales. The company has monthly fixed expenses of $15,000 and sells each unit for $0.50. The monthly target operating income is $7,500.
a. What is the monthly margin of safety in dollars if Yellow Sticker Company achieves its operating income goal?
SO
x in dollars
b. What is the monthly margin of safety in units if Yellow Sticker Company achieves its operating income goal?
x units
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Flanders Manufacturing is considering purchasing a new machine that will reduce variable costs per part produced by $0.15. The machine will increase fixed costs by $20,300 per
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A. What will the impact be on the break-even point if Flanders purchases the new machinery? Round per unit cost answers to two decimal places.
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