Answer:
PV= $9,355.78
Explanation:
Giving the following information:
If $ 9,000 is invested in a certain business at the start of the year, the investor will receive $ 2,700 at the end of each of the next four years.
Interest rate= 6%.
First, we need to find the final value
FV= {A*[(1+i)^n-1]}/i
A= payment
FV= {2,700*[(1.06^4)-1]}/0.06= 11,811.46
Now, we calculate the present value:
PV= FV/(1+i)^n
PV= 11,811.46/1.06^4= $9,355.78
Answer:
They should operate Mine 1 for 1 hour and Mine 2 for 3 hours to meet the contractual obligations and minimize cost.
Explanation:
The formulation of the linear programming is:
Objective function:

Restrictions:
- High-grade ore: 
- Medium-grade ore: 
- Low-grade ore: 
- No negative hours: 
We start graphing the restrictions in a M1-M2 plane.
In the figure attached, we have the feasible region, where all the restrictions are validated, and the four points of intersection of 2 restrictions.
In one of this four points lies the minimum cost.
Graphically, we can graph the cost function over this feasible region, with different cost levels. When the line cost intersects one of the four points with the lowest level of cost, this is the optimum combination.
(NOTE: it is best to start with a low guessing of the cost and going up until it reaches one point in the feasible region).
The solution is for the point (M1=1, M2=3), with a cost of C=$680.
The cost function graph is attached.
Answer:
The main source of conflict that occured between the supervisors and the HR departments at Sand Corporation was the division of power that occurred between the Supervisors and the HR departments
Explanation:
The main source of conflict between the supervisors and the HR departments at Sand Corporation was the division of power that occurred between the Supervisors and the HR departments reason been that the supervisors feel that the power and authority that should have been with them or vested on them for hiring, compensation, appraisal, as well as training and pay increases has been appropriated and carried out by the HR departments.
WHILE the HR managers or HR departments on the other hand want to keep the authority to themselves because they believed and known that authority is a source of power.
Answer:
The balance in the account = $851.8
Explanation:
The future value of a lump sum is the amount expected at a future date when a sum of money is invested today at a particular rate of interest for certain number of years
.
This implies compounding the initial amount invested ($300) at the given interest rate(11%) for 10 years.This will be done as follows:
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FV = PV × (1+r)^(n)
FV-Future value
r- rate of return per period
n- Number of period
PV - 300
r-11%
DATA
FV- ?
PV - 300
n- 10
FV= 300 × 1.11^10 = 851.83
The balance in the account = $851.8