An online shopping club has 11600 members when it charges $8 per month for membership. For each 1$ monthly increase in membership fee, the club loses approximately 400 of its existing members. Write and simplify a function R to represent the monthly revenue received by the club when x represents the price increase.

R(x) = (11,200 - 400x) * (7 + x)

Explanation:

Monthly revenue = Number of members * Monthly fee (1)

Where;

Number of members = 11,200

Monthly fee = $7

For each $1 monthly increase in membership fee, we have

For 1 month, one dollar the decrease = 400 * 1 = 400

For 2 months, 2 dollar increase will lead to decrease of 400* 2 = 800 members

Therefore, for x months

Innrease in membeship fee or price increase = 7 + x

Decrease in the numbers of members = 400x

Substitute the values into equation (1), we have:

Monthly revenue = R(x) = (11,200 - 400x) * (7 + x)

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We have that

Revenue  =  Members  *  (Cost Per Member)

R  = (4600 - 200x) ( 9 + 1x)

Where x represents the number of $1  increases

Explanation:

beginner

government is strong when they have the ability to persuade those they govern to believe government has enough power to force them or should be forcing them to do government’s will.

when enough of the citizenry do not believe government can force them or should force them to do its bidding, government has lost or will lose its strength and power to coerce.

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a true majority isn’t always needed to govern or to stop government. many times all that is needed is a strong minority. if a determined 30% of the population rises up against government in a concerted effort to bring it down, this size minority usually will succeed as long as those actively opposing the minority are less in force than the minority. so if 41% of the population sits at home watching tv rooting for one side or the other, they don’t matter. it’s the active parties who make a difference.