11. A distributor of apple Juice has 5000 bottle in the store that it wishes to distribute in a
month. From experience it is known that demand D in number of bottles) is given by
D=-2000p? + 2000p + 17000. The price per bottle that will result zero inventory is
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Answered by
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Step-by-step explanation:
D=-2000p²+2000p+17000
5000=-2000p²+2000p+17000
divide both sides by 1000
5=-2p²+2p+17
2p²-2p-12=0
p²-p-6=0
p²-3p+2p-6=0
p(p-3) +2(p-3) =0
(p-3) (p+2)=0
p=3 ,p=-2
as price can't be negative
so price per bottle =₹3
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