A hot dog vendor at a local fair averages 140 hot dogs per day when the price is $3. If for every $0.25 increase in the price, 10 fewer hot dogs are sold on average, what price maximizes the revenue?

$4.25
$5.75
$3.75
$3.25

Respuesta :

Answer:

I think it is $3.25

Step-by-step explanation:

140*3=420- original price with 140 sold each day

130*3.25=422.5- 10 less hotdogs sold with $0.25 price increase

110*3.75=412.5- 30 less hotdogs sold with $0.75 price increase

90*4.25=391.5- 50 less hotdogs sold with $1.25 price increase

60*5.75=345-80 less hotdogs sold with $2.75 price increase

The price maximizes the revenue is $3.75 .

What is revenue?

Revenue (sometimes referred to as sales revenue) is the amount of gross income produced through sales of products or services. A simple way to solve for revenue is by multiplying the number of sales and the sales price or average service price

Revenue = Sales x Average Price of Service or Sales Price.

According to the question

A hot dog vendor at a local fair averages 140 hot dogs per day  

Price of hot dog = $3

By using formula of revenue

Revenue = Sales x Average Price of Service

Total revenue = 3*140

                       =  $420 per day

Every increase in the price =  $0.25

Hot dogs are sold on average = Average -10

Therefore,

1st time rise in price

If price increase and become =$3.25

Average sale of hot dog become = 130

By using formula of revenue

Revenue = Sales x Average Price of Service

Total revenue =  130*3.25

                       =  $422.5    

2nd time raise in price

New price = $3.75

Average sale of hot dog  = 120

By using formula of revenue

Revenue = Sales x Average Price of Service

Total revenue = 3.75 * 120

                       = $450

3rd time raise in price

New price = $4

Average sale of hot dog  = 110

By using formula of revenue

Revenue = Sales x Average Price of Service

Total revenue = 4* 110

                       = $440

4th time rise in price

New price = $4.25

Average sale of hot dog  = 100

By using formula of revenue

Revenue = Sales x Average Price of Service

Total revenue = 4.25* 100

                       = $425

Now as we can see if we further increase the price the total revenue will decrease because our average sale of hot dog in also decreasing by 10 after every increase.

Hence ,the price maximizes the revenue is $3.75 .

To know more about revenue here:

https://brainly.com/question/13383966

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