A real estate agent spends $1,500 on advertising for three months to sell an average house. if the house sells in three months, the agent earns $9,000. otherwise, he loses the listing and earns nothing. if there is a 40% chance that the house will sell in three months, what is the expected revenue for the real estate agent?

Respuesta :

Answer:

$2100.

Step-by-step explanation:

We have been given that a real estate agent spends $1,500 on advertising for three months to sell an average house. This means that cost of advertisement is $1500.

We are also told that if he house sells in three months, the agent earns $9,000 and there is a 40% chance that he will sell the house in three months.

To find the expected revenue first of all let us find 40% of $9000.

[tex]\text{The profit from selling the house in 3 months}=\frac{40}{100}\times \$9000[/tex]

[tex]\text{The profit from selling the house in 3 months}=0.40\times \$9000[/tex]

[tex]\text{The profit from selling the house in 3 months}=\$3600[/tex]

Now let us subtract the amount spent on advertising from the profit earned by agent to find the expected revenue.

[tex]\text{The expected revenue for the real estate agent}=\$3600-\$1500[/tex]

[tex]\text{The expected revenue for the real estate agent}=\$2100[/tex]

Therefore, the expected revenue for the real estate agent is $2100, is he sells the house in 3 months.

Answer:

B $2100

Step-by-step explanation:

EDG 2021