24. Maximizing Profit C&G Imports imports two brands of white wine, one from Germany and the other from Italy. The German wine costs $4/bottle, and the Italian wine costs $3/bottle. It has been estimated that if the German wine sells for p dollars/bottle and the Italian wine sells for for q dollars/bottle, then 2000-150p + 100q bottles of the German wine and 1000+80p-120q bottles of the Italian wine will be sold each week. Determine the unit price for each brand that will allow C&G to realize the largest possible weekly profit.

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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24. Maximizing Profit C&G Imports imports two
brands of white wine, one from Germany and
the other from Italy. The German wine costs
$4/bottle, and the Italian wine costs $3/bottle.
It has been estimated that if the German wine
sells for p dollars/bottle and the Italian wine sells
for for q dollars/bottle, then
2000-150p + 100q
bottles of the German wine and
1000+80p-120q
bottles of the Italian wine will be sold each
week. Determine the unit price for each brand
that will allow C&G to realize the largest
possible weekly profit.
Transcribed Image Text:24. Maximizing Profit C&G Imports imports two brands of white wine, one from Germany and the other from Italy. The German wine costs $4/bottle, and the Italian wine costs $3/bottle. It has been estimated that if the German wine sells for p dollars/bottle and the Italian wine sells for for q dollars/bottle, then 2000-150p + 100q bottles of the German wine and 1000+80p-120q bottles of the Italian wine will be sold each week. Determine the unit price for each brand that will allow C&G to realize the largest possible weekly profit.
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