Answer:
The real estate should charge $1,300 to obtain maximum profit.
Explanation:
We can make K to represent the number of unit apartment occupied.
This means that the total rent the real estate office is getting can be denoted by;
{(550 + 25(80 - K)} K - 50K
Maximizing the above equation, we have;
y = 550K + 2,000K - 25K^2 - 50K
Collect like terms
= 2,500K - 25K^2
y' = (2,500K - 25K^2)' = 2,500 - 50K
y = 0
2,500 - 50K = 0
2,500 = 50K
K= 50
Rent is therefore;
Rent = 550 + (80 - K)25, where K is 50
= 550 + (80 - 50)25
= 550 + (30)25
= 550 + 750
= $1,300
Answer:
Entries during the first month would include the following:
Account Title Debit Credit
Interest Expenses $40,260
(1342000*3%)
Kwik $40,260
Cash $459,000
Discount $1,550
Account Receivable $460,550
Sales Return $5,300
Account Receivable $5,300
Allowances for Doubtful Debt $$11,880
Account Receivable $$11,880
Answer:
a) The PV of the quarterback's contract is 13.91 million
b) The PV of the receiver's contract is 14.42 million
.
c) The Receiver is better paid
Explanation:
a)
PV of quarterback
= 3.1/1.09 + 3.1/1.09^2 + 3.1/1.09^3 + 3.1/1.09^4 + 3.1/1.09^5 + 3.1/1.09^6
= 3.1/0.09*(1 - (1/1.09)^6)
= 13.91 million
Therefore, The PV of the quarterback's contract is 13.91 million
.
b)
PV of receiver's contract
= 5 + 2.1/1.09 + 2.1/1.09^2+2.1/1.09^3+2.1/1.09^4+2.1/1.09^5+2.1/1.09^6
= 5 + 2.1/0.09*(1 - (1/1.09)^6)
= 14.42 million
Therefore, The PV of the receiver's contract is 14.42 million
.
c) Since the PV of the quarterback's contract is less than the PV of the receiver's contract, The Receiver is better paid.
This a simple interest question with the principal = $25,000 time = 90 days and rate = 7%.
The simple interest in an investment after t days is given by PRT / (100 x 360). where P = $25,000 R = 7% and T = 90
S.I = (25000 x 7 x 90) / (360 x 100) = 15750000 / 36000 = 437.5
Therefore, the amount of interest Jasper will collect is $437.50