1.

Maximum profit: An barrels manufacturer can produce up to 300 barrels per day. The profit made from the sale of these barrels can be modelled by the function P(x) = -10x^(2) +3500x -66000where P(x) is the profitin rupeesand x is the numberof barrelsmade and sold. Based on this model answer the following questions: What is the maximum profit which can manufacturer earn?

Answer»

<P>Rs 240250
Rs 480500
Rs 680250
Rs 240250

Solution :Rearranging the given equation we have
`P(X) = -10X^(2) +3500x - 66000`
`= -10 (x^(2) -350x +6600)`
`= -10 [(x-175)^(2) -30625 +6600]`
`=-10 [(x-175)^(2) -24025]`
`= -10(x-175)^(2)+240250`
From above equation it is clear that maximum value of P(x) is 240250.
THUS (a) is correct option.


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