a personal account earmarked as a retirement supplement contains $292,200. suppose $250,000 is used to establish an annuity that
1 answer:
Suppose $250,000 is used to establish an annuity that earns 6%, compounded quarterly, and pays $6000 at the end of each quarter. It will take about 120 quarters until the account balance reaches $0.
Amount invested (Present value) = $250000
Quarterly payment (At the end of each quarter) (P) = $4500
Interest Rate (Quarterly) (r) = 6% /4
= 1.5% = 0.015
A number of quarters (n) = ?
Future value at the end = 0
Present value of Annuity formula:
Present value = P ×
250000 = 4500 ×
250000 = 300000 ×
250000 / 300000 =
0.83333 =
n = 120
Hence is shall take 120 Quarters until the account balance is $0.
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Answer:
Hello your question is incomplete attached below is the complete question
answer:
A) 32 units ( number of units per month per worker )
B) number of workers required = 975 / 32 ≈ 31
c) mean of the two values = 138 + 41 ) / 2 = $89.50
Explanation:
A) Determine a minimum inventory production plan ( i.e. one that allows arbitrary hiring and firing )
The number of units per month per worker = 32 units
To have a minimum/least inventory; production plan = demand by hiring or firing
of employees
<em>attached below is the table </em>
B) determine the production plan that meets demand but does not hire or fire workers during the six-month period
To determine this production plan we have to find the per month production = (Total demand - beginning inventory ) / 6
= ( 6350 - 500 ) / 6 = 975 units produced
number of workers required = 975 / 32 ≈ 31
C) Calculate The cost of subcontracting needed to beat the cheaper of the two options above
regular cost = 8 * 5 = $40
we will keep 30 workers in order to determine how much subcontracting is needed and the maximum and minimum value of each unit is kept hence the overall cost < $253900.
if subcontracting cost = $138 then total cost = $253820
If subcontracting cost = $41 then total cost = $245090.
Therefore mean of the two values = 138 + 41 ) / 2 = $89.50
D) subcontracting cost of $50 formulating a LP and solve to optimality for the constraints of this problem
Z <= (Y+1)*7680 , X + 32Y >= 5850
