1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pshichka [43]
3 years ago
7

There are two routes for driving from A to B. One is freeway, and the other consists of local roads. The benefit of using the fr

eeway is constant and equal to 3.6, irrespective of the number of people using it. Local roads get congested when too many people use this alternative, but if not enough peoople use it, the few isolated drivers run the risk of becoming victims of crimes. Suppose that when a fraction of x of the population is using the local roads, the benefit of this mode to each driver is given by:
1 + 8x – 9x²

Required:
a. Draw a graph showing the benefits of the two driving routes as functions of x, regarding x as a continuous variable between 0 and 1.
b. Identify all possible equilibrium traffic patterns from your graph in part (a). Which equilibria are stable? Which ones are unstable? Explain.
c. What value of x maximizes the total benefit to the whole population?
Business
1 answer:
STALIN [3.7K]3 years ago
5 0

Answer:

a) attached below

b) stable equilibria = x = 0.1 , x = 0.8

   unstable equilibria = other value except 0.1 , 0.8

c) 0.5 , 0.6

Explanation:

Benefit of using the local roads = 1 + 8x - 9x^2

Benefit of using the free way = 3.6

a) Attached below is the required graph

<u>b) Determine The possible equilibrium traffic patterns from the graph </u>

stable equilibria : x = 0.1 ,  x = 0.8 ( this id because at these given value the benefits of using either routes is equal )

unstable equilibria :  every other value of X except 0.1 and 0.8

<u>c) Determine the value of x that maximizes the total benefit to the population</u>

The value of X that maximizes the total benefit to the population = 0.5 and 0.6

attached below is the detailed solution

You might be interested in
On November 1, 2017, Austin Services issued $305,000 of five-year bonds with a stated rate of 12%. The bonds were issued at par,
sergiy2304 [10]

Answer:

$12,200

Explanation:

Calculation to determine the amount of interest expense was recorded for the period of January 1 to April 30, 2018

Interest expense=$305,000*12%*4/12

Interest expense=$12,200

Therefore the amount of interest expense was recorded for the period of January 1 to April 30, 2018 is $12,200

8 0
2 years ago
The existence of conflict is an inevitable part of group dynamics.true or false
Elden [556K]

Answer:

The statement is true

Explanation:

Group dynamics is a system of processes of psychological and behaviours which is occurring within a social group. As group is of two or more people so they have different behaviour or act upon differently. So, there is existence of conflict is an inevitable or unavoidable is a part of the group dynamics.

It could happen when the group does not agree on single decision or to act in favour.

4 0
3 years ago
15. Chef A insists that roux is the traditional thickener for bisque. Chef B insists that it's rice. Which chef is correct?
inna [77]

Answer:

Hi,

The correct answer option is B. Both chefs are correct

Explanation:

Roux is a mixture of fat and flour for making sauces.The purpose of roux is to form a base for the sauce and soup by thickening the sauce.Butter is commonly used for making roux.Veloute,a  common cuisine is thickened  with roux. Bisque is a soup made of pureed shellfish.Rice is used to thicken Bisque.This soup is smooth, creamy and seasoned.

Hope this helps!

3 0
3 years ago
Read 2 more answers
Carla has $10,000 that she would like to save for retirement.
coldgirl [10]

Answer:

higher, stocks, flunctuates, risk, bonds, interest

Explanation:

The chosen responses are the best from the options provided. First, to earn a higher long-term rate of return, stocks offer a higher interest rate than bonds and the reason being that they are riskier.

Stocks belong to the owners of an organisation and as such, they are only entitled to interest after the interests of bond owners and preference stock holders have been settled. Meaning, despite the higher rates of interest offered, it is riskier to be a stock holder than a bond holder

Bond on the other hand, are not equity or company ownership units, they represent debts that the company must pay fixed interest rates on. Although we have the convertible to stock and the non-convertible bonds. However, bonds may be safer due to the fixed interest rates that must be paid but interests are lesser than stocks and irrespective of a company's profitability, a bond holder is only entitled to the fixed interest rate unlike the stock holder who enjoys higher dividends as a result of improved profitability.

4 0
3 years ago
A store that has very limited inventory commonly uses what type of inventory method ?
faltersainse [42]

RETAIL INVENTORY METHOD SHOULD BE USED BY A STORE .

Explanation:

The retail inventory method is an accounting method used to estimate the value of a store's merchandise. The retail method provides the ending inventory balance for a store by measuring the cost of inventory relative to the price of the merchandise. Along with sales and inventory for a period, the retail inventory method uses the cost-to-retail ratio.

Periodic counts might be once every two months or every three weeks, depending on warehouse size and company needs. This will create better visibility than yearly or seasonal options but it also requires more time and manpower. Workers must ensure they are performing inventory consistently between each count.

3 0
3 years ago
Other questions:
  • Last year, T-bills returned 1.8 percent while your investment in large-company stocks earned an average of 5.8 percent. Which on
    13·1 answer
  • Suppose you purchase a​ ten-year bond with 5 % annual coupons.You hold the bond for four years and sell it immediately after rec
    11·1 answer
  • Zinc, LP was formed on August 1, 20X9. When the partnership was formed, Al contributed $10,000 in cash and inventory with a FMV
    11·1 answer
  • Many business application software vendors are pushing the use of _____ for small and medium-sized enterprise (SME) to help cust
    15·1 answer
  • 1. Sorensen Systems Inc. is expected to pay a $2.00 dividend at year end (D1 = $2.00), the dividend is expected to grow at a con
    11·1 answer
  • Suppose you are a senator writing a bill to index Social Security and federal pensions. That is, your bill will adjust these ben
    10·1 answer
  • Suppose Sharon earns $575 per week working as a programmer for PC Pros. She uses $9 to get her car washed at Spotless Car Wash.
    14·1 answer
  • Martha had an important meeting after lunch and wanted to avoid the hassle of waiting in line to get a meal at the cafeteria. He
    5·1 answer
  • Which action demonstrates good workplace etiquette?
    15·1 answer
  • Help plz
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!