4.2Wednesday, October 14, 20099:01 AM

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Nutrition Ruff, Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 220 grams of protein and at least 150 grams of fat. If chicken costs 11per ounce and grain costs 2per ounce, how many ounces of each should Ruff use in each bag of dog food in order to minimize cost? Pasted from <file:///C:\Documents%20and%20Settings\kkruppst\Desktop\web4.2.docx>

You are thinking of making your mansion more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs, and insulating part or all of your exterior walls. Each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs. Your mansion has 250 light fittings and 3100 sq. ft. of uninsulated exterior wall. To impress your friends, you would like to spend as much as possible, but save no more than $800 per year in energy costs (you are proud of your large utility bills). How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? How much will you save in energy costs per year? Pasted from <file:///C:\Documents%20and%20Settings\kkruppst\Desktop\web4.2.docx>

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The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients as well as high-income patients. State regulations require that every subsidized nursing home must house a minimum of 750 homeless patients and no more than 1000 high-income patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 2400 patients. The board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exceed twice the number of high-income patients. Due to the state subsidy, the hospital will make an average profit of $9900 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $7600 per month. How many of each type of patient should it house in order to maximize profit?

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