SOLUTION: 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 =
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Question 896679: 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 = -2000pē + 2000p + 1700. the price per bottle that will result zero inventory is
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
your demand equation is:
d = -2000p^2 + 2000p + 1700.
you want to find the value of p when d = 5000.
unfortunately you won't be able to find it because the maximum value of that equation is 2200 when p = .5.
that demand equation can never reach 5000.
to solve this graphically, i graphed the equation of y = -2000x^2 + 2000x + 1700 and i graphed the equation of y = 5000
i changed p to x and d to y in order to be able to graph it.
these are just name changed and have no impact on the values that the equation will provide.
the intersection of those 2 graphs would be your solution.
unfortunately they don't intersect because the maximum value of the demand graph is 1700.
here's the graph:
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