Phillip, the proprietor of a vineyard, estimates that the first 10000 bottles of wine produced this season will fetch a profit of $5/bottle. But if more than 10000 bottles are produced, then the profit per bottle for the entire lot will drop by $0.0002 for each additional bottle sold. Assuming that at least 10000 bottles of wine are produced and sold, what is the maximum profit

$61,250

Explanation:

P= (10,000+x)(5-.0002x)= 50,000 +3x -.0002x^2

dP/dx= 3- .0004x

Set equal to zero to find maximum

3-.0004x=0

x= 7,500 so max profit is 61,250

muslims control the north africa during the period of 1500 up

to 1800. they made a barrier to prevent further european exploration from

entering the africa from the north. however, the dutch ware still able to move

toward the interior with having south africa as one of the routes leading to

the east for trading with asia.

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