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vovikov84 [41]
2 years ago
9

Jennifer gets 5 utils from consuming her first slice of pizza, 4 utils from the second slice, 3 utils from the third, etc. Each

slice of pizza costs $1. She also gets 4 utils from her first soda, 2 utils from the second, and 1 util from the third. Each soda costs $1. If Jennifer only has $4 to spend and spends it all on pizza and sodas, what is her total utility from the purchase if she wants to maximize her total utility?
Business
1 answer:
nata0808 [166]2 years ago
6 0

Answer:

The maximum utility is 16 utils

Explanation:

To maximize the utility we must choose the items that gave most utils.  

Each item cost $1 and we have $4 to spend.  

1 slice of pizza: 5 utils

2 slice of pizza: 4 utils

3 slice of pizza: 3 utils

1 soda:  4 utils

2 soda:  3 utils

3 soda: 2 utils

If we display them in a decrease order and we choose  the first four rows.

1 slice of pizza: 5 utils (1 dollar)

2 slice of pizza: 4 utils  (1 dollar)

1 soda:  4 utils (1 dollar)

3 slice of pizza: 3 utils  (1 dollar)

2 soda:  3 utils

3 soda: 2 utils

Highlighted are the ones we must get to get the maximum utility.

The maximum utility is 5 utils +4 utils+4 utils+3 utils= 16 utils

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Answer:

Jessica will have $611,816.70 at retirement.

Explanation:

a) Data and Calculations:

Jessica:

Annual contribution in IRA for 10 years = $2,000

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Interest rate per year = 10%

Annuity value for investing $2,000 annually is $35,062.33

FV (Future Value) $35,062.33

PV (Present Value) $13,518.05

N (Number of Periods) 10.000

I/Y (Interest Rate) 10.000%

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Total Interest $15,062.33

Amount received after investing $35,062.33 for 30 years.

Using an online finance calculator:

FV (Future Value) $611,816.70

PV (Present Value) $35,062.33

N (Number of Periods) 30.000

I/Y (Interest Rate) 10.000%

PMT (Periodic Payment) $0.00

Starting Investment $35,062.33

Total Principal $35,062.33

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7 0
2 years ago
Metallica Bearings, Inc., is a young start-up company. No dividends will be paid on the stock over the next 9 years because the
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The common stock of Zeta Group sells for $42 per share, has a rate of return of 12.2 percent, and a dividend growth rate of 1.8
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Answer:

The amount of the last annual dividend paid is <u>$4.3</u>.

Explanation:

Given:

The common stock of Zeta Group sells for $42 per share, has a rate of return of 12.2 percent, and a dividend growth rate of 1.8 percent annually.

Now, to find the amount of last annual dividend paid.

Let the amount of last annual dividend paid be l.

Price of per share (p) = \$42.

Rate of return (r) = 12.2\%.

Rate of dividend growth (g) = 1.8\%.

Now, to get the amount of last dividend paid we put formula:

p=\frac{l(1+g)}{r-g}

42=\frac{l(1+1.8\%)}{12.2\%-1.8\%}

42=\frac{l(1+0.018)}{0.122-0.018}

42=\frac{l\times 1.018}{0.104}

<em>Multiplying both sides by 0.104 we get:</em>

<em />4.368=1.018l<em />

<em>Dividing both sides by 1.018 we get:</em>

4.3=l

l=\$4.3.

Therefore, the amount of the last annual dividend paid is $4.3.

6 0
3 years ago
2. How could you assess whether new office designs are improving the organizational culture
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7 0
2 years ago
Exodus Limousine Company has $1,000 par value bonds outstanding at 15 percent interest. The bonds will mature in 30 years. Compu
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Answer:

if YTM at 4% price :  $2,902.1237

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The bonds are above face value asthey offer a higher coupon payment than the market yield therefore the bond holders are willing to pay above theri face value

Explanation:

the market price of the bond will be the present value of coupo payment and maturity:

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time 30

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150 \times \frac{1-(1+0.04)^{-30} }{0.04} = PV\\

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\frac{Maturity}{(1 + rate)^{time} } = PV  

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time   30.00

rate  0.04

\frac{1000}{(1 + 0.04)^{30} } = PV  

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No we repeat the process with the yield at 8%

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

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150 \times \frac{1-(1+0.08)^{-30} }{0.08} = PV\\

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\frac{Maturity}{(1 + rate)^{time} } = PV  

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\frac{1000}{(1 + 0.08)^{30} } = PV  

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PV m  $99.3773

Total $1,788.0448

7 0
3 years ago
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