cons ering package offers from three car manufacturers. Fred Motors is offering 5 small cars, 5 medium cars, and 10 large cars for $500,000. Admiral Motors is offering 5 small, 10 medium, and 5 large cars for $400,000. Chrysalls is offering 10 small, 5 medium, and 5 large cars for $300,000. Fedelal would like to buy at least 650 small cars, at least 500 medium cars, and at least 650 large cars. How many packages should lt buy from each car maker to keep the total cost as small as possible? Fred Motors E packages Admiral Motors E packages Chrysalis |: packages Federal Rentiaicar is putting together a new eet. It What will be the total cost? $:l Sales The Marketing Club at your college has decided to raise funds by selling three types of T-shirt: one with a single-color "ordinary" design, one with a two-color "fancy" design, and one with a three- color "very fancy" design. The club feels that it can sell up to 340 T-shirts. "Ordinary" Tshirts will Cost the club $6 each, "fancy" Tshirts $8 each, and "very fancy" Tshirts $10 each, and the club has a total purchasing budget of $3,400. It will sell "ordinary" T'shins at a prot of $3 each, "fancy" T'shlrts at a prot of $6 each, and \"very fancy" T'shirts at a prot of $3 each. How many of each kind of T'shlrt should the slut: order to maximize prot? "ordinary" T-shirt(s) |: "very fancy" T-shirt(s) |: What is the maximum profit the club can make? $|:| Your farm encompasses 700 acres, and you are planning to grow soybeans, corn, and wheat in the coming planting season. Fertilizer costs per acre are: $5 for soybeans, $2 for corn, and $1 for wheat. You estimate that each acre of soybeans will require an average of 5 hours of labor per week, while tending to corn and wheat will each require an average of 2 hours per week. Based on past yields and current market prices, you estimate a profit of $6,000 for each acre of soybeans, $4,000 for each acre of corn, and $2,000 for each acre of wheat. You can afford to spend no more than $4,200 on fertilizer, and your farm laborers can supply 4,200 hours per week. How many acres of each crop should you plant to maximize total profits? soybeans acre(s) corns acre(s) wheat acre(s) In this event, will you be using all the available labor? Yes O NoYour publishing company is about to start a promotional blitz for its new book, Advanced Quantum Mechanics for the Liberal Arts. You have 20 salespeople stationed in Chicago and 10 in Denver. You would like to fly at most 10 salespeople into Los Angeles and at most 15 into New York. A round-trip plane flight from Chicago to Los Angeles costs $195; one from Chicago to New York costs $182; one from Denver to Los Angeles costs $435; and one from Denver to New York costs $166. You want to spend at most $4,520 on plane flights. How many salespeople should you fly from each of Chicago and Denver to each of Los Angeles and New York to have the most salespeople on the road? (Enter your answers as a comma-separated list. Let the number of people from Chicago to Los Angeles = X, the number of people from Chicago to NY = y, the number of people from Denver to Los Angeles = z, and the number of people from Denver to NY = w. Remember that a fraction of a person cannot make the flight!) ( x, V, Z, W ) =Gerber Mixed Cereal for Baby contains, in each serving, 60 calories, no Vitamin C, and 11 grams of carbohydrates. Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories, 45% of the RDA of Vitamin C for infants, and 21 grams of carbohydrates. Gerber Apple Banana Juice contains, in each serving, 60 calories, 120% of the RDA of Vitamin C for infants, and 15 grams of carbohydrates. + Assume that the cereal costs 11c per serving, the dessert costs 50c per serving, and the juice costs 30 per serving. If you want to provide your child with at least 180 calories, at least 240% of the RDA of Vitamin C, and at least 41 grams of carbohydrates, how can you do so at the least cost? Gerber Mixed Cereal for Baby serving(s) Gerber Mango Tropical Fruit Dessert serving(s) Gerber Apple Banana Juice serving(s)
