ane is planning to offer a Groupon for inner tube rentals that she will distribute on hot, sunny, summer days by the river that runs through her town. Based on her past experience with Groupon, she has assigned the following probability distribution to the number of tubes she will rent on a randomly selected day. If Jane would like her expected revenue to be at least $300 per day, what should the Groupon price be? (Round your answer up to the nearest whole dollar amount.)

Probability assigned:|

x 30 60 120 180

P(x) .10 .40 .40 .10

Jane

Price of Groupon for a revenue of $300 is:

$3

Explanation:

a) Data and Calculations:

Expected Sales volume:

Number of Tubes  x   30     60      120     180

Probability P(x)           .10     .40      .40      .10

Expected values          3      24       48       18

Total = 93 tubes

Groupon price = $300/93 = $3.23

b) Jane's price for each Groupon will be the rent revenue per day divided by the expected number of tubes to rent daily.  The expected number of tubes is derived by multiplying each expected number of tubes by its probability and then summing up the results.