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Quadratic Word problems
Contributed by: Pham
Unit price p

The John Deere company has found that the revenue

 from sales of heavy-duty tractors is a function of the unit

 price that it charges.  The revenue  is 

   R = -½p2 +1900p                              

What unit price should be charged to maximize revenue? 

What is the maximum revenue?  Do not include dollar sign

or comma. For example, if your answer is $200,000,000, 

write 200000000


:
Maximum Revenue
A farmer with 4000 meters of fencing material wants to enclose a rectangular plot that borders on a river.  If the farmer does not fence the side along the river, what is the largest area that he can enclose? 
The largest area is 
m2
The height of a triangle is 2 m more than the base.  The area of the triangle is 17.5 m2.  Find the length of the base and the height of the triangle. Include the unit. For example, if your answer is 3 meters, write 3m
The height
The base

     The value of a share of R. P. Mugs can be represented by

V(x)= x2 - 6x + 13 

 where x is the number of months after January 2001. 

What is the lowest value V(x) will reach? 

The lowest value of V(x) is
$
(a)State the amount of energy held by the battery
 immediately before it was used.
(b)Calculate the amount of energy available after 
20 minutes.
(c)Calculate the number of minutes it takes for the energy to reach zero. 
(Round of your answer to the nearest minute).
The function Q (t) = 0.003t2 – 0.625t + 25 represents 
the amount of energy in a battery after t minutes of use.
D = b2 - 4ac
c
a
b
positive
positive
positive
positive
negative
negative
negative
negative
During the period 1998-2002, the number y ( in millions) of juvenile books shipped to bookstores can be modeled by the equation y=-1.5x2 + 64x + 360 where x is the number of years since 1998. In what year were 400 million juvenile books shipped to bookstores?
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