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(Solved): Find p_(1) and p_(2), the prices per unit (in dollars), so as to maximize the total revenue R=x_(1)p ...



Find

p_(1)

and

p_(2)

, the prices per unit (in dollars), so as to maximize the total revenue

R=x_(1)p_(1)+x_(2)p_(2)

, where

x_(1)

and

x_(2)

are the numbers of units sold, for a retail outlet that sells two substitute products with the given demand functions.

x_(1)=660-4p_(1)+2p_(2),x_(2)=870+

Find

p_(1)

and

p_(2)

, the prices per unit (in dollars), so as to maximize the total revenue

R=x_(1)p_(1)+x_(2)p_(2)

, where

x_(1)

and

x_(2)

are the numbers of units sold, for a retail outlet that sells two substitute products with the given demand functions.

,x_(1)=660-4p_(1)+2p_(2),x_(2)=870+4p_(1)-3p_(2) p_(1)=$ p_(2)=$

Need Help?

1-3p_(2) p_(1)=$ p_(2)=$

Need Help? In order to treat a certain bacterial infection, a combination of two drugs is being tested. Studies have shown that the duration of the infection in laboratory tests can be modeled by

D(x,y)=x^(2)+2y^(2)-18x-24y+2xy+140

where

x

is the dosage of the first drug and

y

is the dosage of the second drug (both in hundreds of milligrams). Find the amount of each drug necessary to minimize the duration of the infection. first drug hundred mg second drug hundred mg

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