A business owner makes 60 items by hand in 45 hours. She could have earned $35 an hour working for someone else. Her total expli
1 answer:
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Answer :
Some answers are attached below
Explanation:
a) Based on the information provided, below are the all possible sensible patterns the lumberyard may use to cut the 10-ft boards -
Pattern Number 3-ft boards 4-ft boards 5-ft boards Waste (<3-ft)
1 3 0 0 1
2 2 1 0 0
3 1 0 1 2
4 0 1 1 1
5 0 2 0 2
6 0 0 2 0
b) ILP Formulation
Objective Function
Minimize Number of 10 ft-boards to be cut
Z = x1+x2+x3+x4+x5+x6 where xi is the number of boards for pattern i
subject to constraints -
3x1+2x2+x3>=90 ----> 3-ft boards
x2+x4+2x5>=60 ----->4-ft boards
x3+x4+2x6>=60 ----->5-ft boards
Xi>=0 ---->Non-negativity constraint
Below is the excel solver formulation and solution -
The optimal number of Pattern 1,5,6 =0, Pattern 2,3 and 4 = 30
The minimum number of 10 ft-boards to be cut = 90
Answer:
Cost volume profit analysis (CVP) refers basically to determining the break-even point of a company and how we can use that information to predict how different changes might affect it. When you are performing a CVP analysis you have to decide which variables will be constant, i.e. ceteris paribus, and which will be altered to predict the effect on the company’s operating income.
1)
sales level total revenue variable costs fixed costs total costs
2,000 48,000 36,000 24,000 60,000
4,000 96,000 72,000 24,000 96,000
6,000 144,000 108,000 24,000 132,000
8,000 192,000 144,000 24,000 168,000
2) break even point = 4,000 units
