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Alika [10]
3 years ago
6

Assume that the demand for tuna in a small coastal town is given by p = 400,000 q1.5 , where q is the number of pounds of tuna t

hat can be sold in a month at p dollars per pound. Assume that the town's fishery wishes to sell at least 5,000 pounds of tuna per month. (a) How much should the town's fishery charge for tuna to maximize monthly revenue? HINT [See Example 3, and don't neglect endpoints.] (Round your answer to the nearest cent.) p = $ per lb (b) How much tuna will it sell per month at that price? q = lb (c) What will be its resulting revenue? (Round your answer to the nearest dollar.) $ per month
Business
1 answer:
oee [108]3 years ago
3 0

Answer:

(a) p = $ per lb

p = $2.12 per lb

(b) q = lb (c)

q = $23320

Explanation:

p=750000/q^1.5=>

p'=-1125000q^(-2.5)<0 always

=>p is decreasing with the  

increasing of q. So q should take

the allowable least value=5000.

=>

(a) the charge=  750000/(5000)^1.5=  $2.12/lb

(b)The max. revenue=

q = lb (c) = 2.12(5000)=  $23320

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Montano1993 [528]

Answer:

$532.24

Explanation:

Since Mr. Wise will be making monthly payments for the period of 25 years in order to accumulated the $1,000,000 at the end of 25 years, therefore, the future value of annuity shall be used to determine the monthly payments to be deposited by Mr Wise. The formula of future value of annuity is given as follows:

Future value of annuity=R[((1+i)^n-1)/i]

In the given scenario:

Future value of annuity=amount after 25 years=$1,000.000

R=monthly payments to be deposited by Mr Wise=?

i=interest rate per month=12/12=1%

n=number of payments involved=25*12=300

$1,000,000=R[((1+1%)^300-1)/1%]

R=$532.24

7 0
2 years ago
2. Explain the strengths of a sole proprietorship and wn
adoni [48]

Explanation:

strengths:

1. He or she enjoys all the profit

2. easy to start up

3. decision making is quick

4.he or she can vary the hours of work

weakness:

1.there is lack of finance

2. lack of specialised staff

3.the owner bears all the risk

4.there is unlimited liability

who might start a sole proprietor business

1. a person that wants to be their own boss.

2.extra income.

3.the entrepreneur might think he will make more money working for his self than others.

6 0
2 years ago
Today, you have two coins each of which is valued at $100. One coin is expected to appreciate by 5.2 percent annually while the
ziro4ka [17]

Answer:

=$337.43

Explanation:

The value of each of the coins after 50 years is the future value after 50 years at their respective interest rate.

The formula for  future value is FV = PV × (1+r)n

For the first coin at 5.2 percent,

Fv = 100 x ( 1 + 5.2/100 ) 50

Fv =100 x (1+ 0.052) 50

Fv = 100 x 12. 61208795

Fv = $1,261. 21

For the second coin at 5.7 percent,

Fv = 100 x (1 + 5.7 /100)50

Fv =100 x (1 + 0.057 )50

Fv = 100 x 15.98

Fv = 1, 598. 64

the difference in value will be

=$1598.64 - $1,261.21

=$337.43

6 0
3 years ago
The revenue cycle is a major cycle for most companies. Accounts receivable, revenue, and other accounts are tested through this
Eduardwww [97]

Answer and Explanation:

1. The misstatement would depend on  when there is inappropriate revenue recorded

2. For avoiding the revenue misstatement, the client should have to cut off the policies

3.  The revenues are earned at the time when the company achieved or accomplished for fulfiling its obligation

4.  The side agreements could modify the terms of sales

5. For recording the revenue, the collectibility needs to be confirmed

6 0
2 years ago
The yield to maturity on 1-year zero-coupon bonds is currently 6.5%; the YTM on 2-year zeros is 7.5%. The Treasury plans to issu
alex41 [277]

Answer:

1. PV = 101.87

2. YTM = 7.46%

3. Price of the bond  is $100.92

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PV = 8.5/ (1.065) + 108.5/ (1.075)2

PV = 7.981 + 93.889

PV = 101.87

Part B:

PV = 101.870

FV = 100

N = 2

PMT = 8.5

Using Financial Calculator:

r = 7.459237

YTM = 7.46%

Part C:

The forward rate for next year, derived from the zero-coupon yield curve, is approximately:

(1 + forward Rate) = (1 + 0.075)2/ (1.065)

forward rate = 8.51%

Price of the bond = 108.5/ (1.0851)

Price of the bond = 100

Part D:

Interest Rate = 8.51% - 1% = 7.51%

Price of the bond = 108.5/ (1.0751)

Price of the bond = 100.92

5 0
2 years ago
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