Question

1. A fence is to be built to enclose a rectangular area of 290 square feet. The fence along three sides is to be made of material that costs 4 dollars per foot, and the material for the fourth side costs 15 dollars per foot. Find the dimensions of the enclosure that is most economical to construct. 2. Find the minimum sum of two positive numbers (not necessarily integers) whose product is 450. 3. A car rental agency rents 210 cars per day at a rate of 28 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income? Rate = ?? Dollars/day Maximum Income = ??? Dollars/day 4. Suppose that the (demand) price for your novelty enamel pin business is given by p(x) = 2100/x^(1/4) and that each unit costs $78.75. Find the quantity where profit is maximized. Quantity = ???

          1. A fence is to be built to enclose a rectangular area of 290 square feet. The fence along three sides is to be made of material that costs 4 dollars per foot, and the material for the fourth side costs 15 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.
2. Find the minimum sum of two positive numbers (not necessarily integers) whose product is 450.
3. A car rental agency rents 210 cars per day at a rate of 28 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income?
Rate = ?? Dollars/day
Maximum Income = ??? Dollars/day
4. Suppose that the (demand) price for your novelty enamel pin business is given by p(x) = 2100/x^(1/4) and that each unit costs $78.75. Find the quantity where profit is maximized.
Quantity = ???

Added by Carla P.

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