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Andreas93 [3]
3 years ago
12

A cosmetics company is planning the introduction and promotion of a new lipstick line. The marketing research department has fou

nd that the demand in a particular city is given approximately by p=8ex,0≤x≤2, where x thousand lipsticks were sold per week at a price of p dollars each. At what price will the weekly revenue be maximized?
Business
1 answer:
Mademuasel [1]3 years ago
7 0

Answer:

p = 59.11 dollars

Explanation:

Given

Price:     p(x) = 8eˣ      (0 ≤ x ≤ 2)

Revenue;  R = x*p = 8xeˣ

p = ?  when R be at maximum

We can apply

dR/dx = d(x*p)/dx = 0

⇒  d(8xeˣ)/dx = 8*(1*eˣ + x*eˣ) = 0

⇒  eˣ*(1 + x) = 0    ⇒    x = - 1

as x = - 1 ∉ [0, 2]

then, we have

p(0) = 8e⁰ = 8

R = 0*8 = 0

If x = 1

p(1) = 8e¹ ≈ 21.74

R = 1*21.74 = 21.74

If x = 2

p(2) = 8e² ≈ 59.11

R = 2*59.11 = 118.22

Implies that, R(x) is maximum at x = 2.

   

Thus, the price that maximize the revenue of the company is 59.11 dollars.

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Answer:

$1,200

Explanation:

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Purchase of a customer delivery van = $50,000

discount rate = 20%

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8 0
3 years ago
A new study discovers the health benefits of eating fish regularly. At the same time, some consumers decide to become vegetarian
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Answer:

Explanation:

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6 0
2 years ago
Residents of poor countries tend to have fewer automobiles per capita because Group of answer choices lower per capita real gros
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Answer:

lower per capita real gross domestic product (GDP) growth rates allow for less spending on automobiles.

Explanation:

Gross Domestic Products (GDP) is a measure of the total market value of all finished goods and services made within a country during a specific period.

Simply stated, GDP is a measure of the total income of all individuals in an economy and the total expenses incurred on the economy's output of goods and services in a particular country.

Generally, the Gross Domestic Products (GDP) of a country's economy gives an insight to the social well-being of the country, such as;

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4 0
3 years ago
In​ long-run equilibrium, all firms in the industry earn zero economic profit. Why is this​ true? All firms in perfectly competi
zvonat [6]

Answer:

D. if profit were​ positive, then firms would​ enter, decreasing​ price, and if profit were​ negative, then firms would​ exit, increasing price.

Explanation:

Perfectly competitive firms are price takers, hence they cannot influence the price of their products.

Perfectly competitive industries have no barriers to entry or exist of firms ,so if in the short run, firms are earning economic profit, then firms would​ enter into the industry , decreasing​ price, and if profit were​ negative, then firms would​ exit, increasing price. This makes perfect competitive firms to earn zero economic profit in the long run.

8 0
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Which of the following exemplifies a benefit of good​ communication?
Katyanochek1 [597]

Answer:E- Earlier warning of potential problems.

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1- It gives clarity and direction.

2-Effective communication skills provide clear and defined policies. 3-Organizational communication helps organization to be successful. 4- Effective interpersonal communication skills such as listening skills, making eye contact gives boost to your personality.

5- It informs of earlier warnings of potential problems.

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