A company produces both latex and oil-based paints. When they produce x gallons of latex paint...

 

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A company produces both latex and oil-based paints. When they produce x gallons of latex paint each day and y gallons of oil-based paint per day, their total daily profit from their paints is P(x, y) = -x²-24y²-4xy+240x+800y-5000 dollars. Producing each gallon of latex paint requires 2 minutes of labor and producing each gallon of oil-based paint requires 8 minutes of labor, and the company has only 230 minutes of labor each day to devote to paint production. a) Write the constraint equation for this problem. b) How many gallons of latex paint and how many gallons of oil-based paint should the company produce each day in order to maximize their daily profit? c) Find the maximum daily profit. A company produces both latex and oil-based paints. When they produce x gallons of latex paint each day and y gallons of oil-based paint per day, their total daily profit from their paints is P(x, y) = -x²-24y²-4xy+240x+800y-5000 dollars. Producing each gallon of latex paint requires 2 minutes of labor and producing each gallon of oil-based paint requires 8 minutes of labor, and the company has only 230 minutes of labor each day to devote to paint production. a) Write the constraint equation for this problem. b) How many gallons of latex paint and how many gallons of oil-based paint should the company produce each day in order to maximize their daily profit? c) Find the maximum daily profit.

Answer rating: 100% (QA)

Time Time of labor required to produced gallons of latex paint and y gallow 2x dy is Oilb... View the full answer