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maw [93]
3 years ago
12

The city of Ventura would like to build a seawall to protect the city from the threat of tsunamis. Each additional inches of hei

ght further protects the city and the 100 residents are each willing to pay $11 per inch of seawall height, regardless of how many inches are provided. The cost of building a wall that is i inches high is given by c(i) = 5i^2.
What is the Pareto Optimal height for the seawall?
Business
1 answer:
Mnenie [13.5K]3 years ago
7 0

Answer: 110 inches

Explanation:

The Pareto Optimal point is the level at which complete efficiency has been reached. This means that at this point, any other strategy will do more harm than good.

In Production, the optimal efficiency is reached where Marginal Cost equals Marginal Revenue. Same here.

The Pareto Optimal height is the point where the Marginal Revenue (MR) equals the Marginal Cost (MC).

The Marginal Revenue in this scenario is the $11 that each resident will pay.

There are 100 residents so the total is,

= 11 * 100

= $1,100

The Marginal Cost is given by 5i². This can be differentiated for easier calculations.

= (d/dx) nx²

= 2nx

So,

= (d/dx) 5i²

= 10i

Equating MR = MC

1,100 = 10i

i = 1,100/10

i = 110 inches

The Pareto Optimal height for the seawall is 110 inches.

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harkovskaia [24]

Answer and Explanation:

The Journal Entries is shown below:-

1.

A. Issuance of the bonds by United

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            To Bonds payable $10,100,000

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($10,100,000 ÷ $1,000 × 25 × $5)

(10,100 × 25 × $5)

(Being issue of bonds with warrants is recorded)

B. The investment by World

Investment in stock bonds Dr, $189,375

($1,262,500 × 15%)

Investment in bonds Dr, $1,515,000

($10.10 million × 15%)

       To discount on bond investment $128,775

       To Cash $1,575,600

($10.10 million × 104% × 15%)

(Being investment by W is recorded)

2.

To record the exercise of the warrants

Cash Dr, $1,931,625

(15% × 10,100 × $51 × 25)

Paid-in-capital - stock warrants outstanding $189,375

($1,262,500 × 15%)

      To Common stock $189,375

(15% × 10,100 × 25 × $5)

        To paid-in-capital in excess of par $1,931,625

(Being the conversion of bonds is recorded)

Investment in common stock Dr, $2,121,000

        To Investment in stock warrants $189,375

        To Cash $1,931,625

(15% × 10,100 × 25 × $51)

(Being the investment in common stock is recorded)

4 0
3 years ago
Custom creations furniture company manufactures furniture at its akron, ohio, factory. some of its costs from the past year incl
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The World Championship - Bridgestone Invitational golf event, the All-American Soap Box Derby, AA, oatmeal, artificial fishing lures, and Stan Hywet Hall, one of America's best Tudor Revival structures, are all found in Akron.

<h3>Is Akron, Ohio, still known as the world's rubber capital?</h3>

The "Rubber Capital of the World" was Akron, Ohio, which was home to numerous rubber businesses. The B.F. Goodrich Company, the Goodyear Tire and Rubber Company, and the Firestone Tire and Rubber Company were a few of the major rubber manufacturers with operations in the region.

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Low crime rates and a small-town atmosphere characterize it. Additionally, it features a business sector, a community center, a library, and parks. The wealthiest area is Northwest Akron, namely Fairlawn Heights. Large lots for single-family homes are available, and the surrounding countryside is stunning.

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4 0
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What could you do if your expenses each month continue to be more than your income ?
Tasya [4]

Answer:

Improve your budgeting skills

Explanation:

When your expenses each month exceeds your income, it probably means that your budgeting skills are ineffective or you don't have non at all. If you spend more than what you earn, then chances are high that you will need to borrow to service your excess expenditure. If you continue borrowing to meet your budget, then you might end up in perpetual debt where you are unable to pay back you loan. This often leads to a default, which can have some serious consequences to your credit. Luckily, there are various steps that one can take to meet their expenditure and also to put them on the right track towards financial independent.

The best way towards financial freedom is improving ones budgeting skills through the following methods;

1. Track your spending: most of the time people spend without necessarily knowing where their money goes. Expenditure tracking is a way in which you can record where your money goes. One will be surprised at how small cutting down on wants rather than needs can help in the long run.

2. Plan ahead: financial success needs one to plan ahead. Planning helps one avoid any surprises that might pop up. A plan is always like a map of showing you how much and when to spend your money.

3. If possible look for alternative sources of income: if there is a part-time job that you can do to an extra income, this could cover the excess expenditure above your income and elevate you from debt.

7 0
3 years ago
During Step 3 of the decision-making process, you are identifying options. It's helpful to approach this step as a
marissa [1.9K]

Answer:

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Explanation:

5 0
3 years ago
Econo Nation started 2015 with no national budget debt or surplus. By the end of 2015, it had a budget surplus of $304 million;
klemol [59]

Answer:

$11 million

Explanation:

Calculation to determine the deficit or surplus in 2018.

First step is to calculate the national budget debt using this formula

National budget debt= Budget surplus in 2008 + budget deficit in 2009 + budget surplus in 2010

Let plug in the formula

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Now let calculate the the deficit or surplus in 2018 using this formula

Deficit or surplus= National budget debt + national debt

Let plug in the formula

Deficit or surplus= -$39 million + $50 million

Deficit or surplus= $11 million

Therefore the deficit or surplus in 2018 is $11 million

8 0
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