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 bottle) is given by D=-200

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Question 972138: 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 bottle) is given by D=-2000p^2+2000p+17000. the price per bottle that will result 0 inventory is
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


To achieve zero inventory, the demand must be greater than or equal to the supply. Since the demand is and the supply is 5000, solve the following inequality for :



Note that no matter how great the demand is, the inventory cannot be less than zero -- once the bottles are gone, they are gone, no matter how many people want more. Therefore we are solving an inequaltiy. If the question had asked, "What is the greatest price that will result in zero inventory?" then you would be solving the equation:



Good luck.

John

My calculator said it, I believe it, that settles it

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