Cooper’s Brakes, Inc., enters into a contract with Byron’s Service to fix Cooper’s hydraulic equipment. Byron delays the repair
1 answer:
You might be interested in
Answer:
r = 9.86%
Explanation:
The formula for calculating the future value of an invested amount yielding a compound interest is given by:
where:
FV = future value = $16,000
PV = present value = $10,000
r = interest rate = ?
n = number of compounding period per year = 1
t = time in years = 5
∴
dividing both sides by 10,000
to remove the power of 5, we have to take the 5th root of both sides:
Using your calculator:
1.09856 = 1 + r
∴ r = 1.09856 - 1 = 0.09856
r = 0.0986 = 9.86%
∴ r = 9.86%
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
