A health club currently charges its 1900 clients monthly membership dues of $ 45. the board of directors decides to increase the monthly membership dues. market research shows that each $ 1 increase in dues will result in the loss of 6 clients. how much should the club charge each month to optimize the revenue from monthly dues?

$180.83

Explanation:

number of clients = 1900

charge per client = $45

increase by $1 leads to loss of 6 clients

let the increase in charge be represented as : X

loss of clients = 6X

therefore revenue generated ( Rx) = ( $45 + X ) (1900 - 6X)                                                                       =                                                             ( 45 * 1900 - 45(6X) + 1900X - 6)

                                                          = 85500 - 270X + 1900X - 6

R(x) = - 6 + 1630 x  + 85500

find x = = = 135.83

to optimize the revenue from monthly dues will be

charge per client + X = $45 + $135.83 = $180.83

the answer is true.  i do believe this is the answer because of the amount of wrecks people get into each year.  if you double this with avoiding those so said wrecks, that would make you a "skilled" driver.

answer; ///(d); determining who competes most closely   with whom evaluating whether industry driving forces and competitive pressure favor some strategic groups and hurt others, and ascertaining whether the profit potential of different strategic groups varies due to the strengths and weaknesses in each groups respective market positions;