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:

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explanation:

agamemnon was the leader of the greek troops in the trojan wars and orestes was his son. when agamemnon returned from the war, he was murdered by his wife's lover in conjunction with his wife. orestes could not stop them but he seeked vengeance for his father. after a long time, he found them and avenged his father while killing them. he killed his mother, but greek mythology claims that his act was just and he was spared the remorse and the guilt. there are a lot of similarities with the ulysses/telemachus father son pair. ulysses was also one of the leaders of the excursion to troy. he still has not returned home, but in a sense the suitors of penelope are marring his estate and his reputation. while penelope is faithful to ulysses, the suitors by taking hold of the palace and committing their shameful acts are dishonoring ulysses. in the same context, telemachus is asked just like orestes to restitution his father's honor, regardless of whether he is alive or dead. athena is him and encouraging him with this example and he himself feels the need to save his father