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The economic advisor of a large tire store proposes the demand function d(p)equalsstartfraction 1900 over p minus 40 endfraction , where d(p) is the number of tires of one brand and size that can be sold in one day at price p. answer parts (a) through (e) below. a. recalling that the demand must be positive, what is the domain of this function? the domain consists of all possible values of ▼ for which ▼ p d(p) ▼ does not exist. is positive. is zero. is negative. exists.

In the fall, jay thompson decided to live in a university dormitory. he signed a dorm contract under which he was obligated to pay the room rent for the full college year. one clause stated that if he moved out during the year, he could sell his dorm contract to another student who would move into the dormitory as his replacement. the dorm cost was $5000 for the two semesters, which jay had already paid a month after he moved into the dorm, he decided he would prefer to live in an apartment. that week, after some searching for a replacement to fulfill his dorm contract, jay had two offers. one student offered to move in immediately and to pay jay $300 per month for the eight remaining months of the school year. a second student offered to move in the second semester and pay $2500 to jay. jay estimates his food cost per month is $500 if he lives in the dorm and $450 if he lives in an apartment with three other students. his share of the apartment rent and utilities will be $404 per month. assume each semester is 4.5 months long. disregard the small differences in the timing of the disbursements or receipts. what is the cost of the cheapest alternative?

Neon light company of kansas city ships lamps and lighting appliances throughout the country. ms. neon has determined that through the establishment of local collection centers around the country, she can speed up the collection of payments by one and one-half days. furthermore, the cash management department of her bank has indicated to her that she can defer her payments on her accounts by one-half day without affecting suppliers. the bank has a remote disbursement center in florida. a. if neon light company has $2.90 million per day in collections and $1.18 million per day in disbursements, how many dollars will the cash management system free up?