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Question 1:

Acar rental agency rents 200 cars per day at a rate of $20 per day. For each $1 increase in rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income? What is the maximum income? E) The rental agency will earn a maximum income of $E| when it charges $|:| per day. Two towns lie on the south side of a river. A pumping station is to be located to serve the two towns. A pipeline will be constructed from the pumping station to each of the towns along the line connecting the town and the pumping station. Locate the pumping station to minimize the amount of pipeline that must be constructed. (Not drawn to scale) Thus, to minimize the amount of pipeline that must be constructed, the pumping station P is located El mi from C and El mi from D. (Round to the nearest thousandth.)