Bob, a nutritionist who works for the University Medical Center, has been asked to prepare special diets for two patients, Susan and Tom. Bob has decided that Susan's meals should contain at least 400 mg of calcium, 20 mg of iron, and 54 mg of vitaminC, whereas Tom's meals should contain at least 360 mg of calcium, 16 mg of iron, and 46 mg of vitamin C. Bob has also decided that the meals are to be prepared from three basic foods: Food A, Food B, and Food C. The special nutritional contents ofthese foods are summarized in the accompanying table. Find how many ounces of each type of food should be used in a meal so that the minimum requirements of calcium, iron, and vitamin C are met for each patient's meals.Susan's meals:Food AFood BFood CTom's meals:Food AFood BFood CNeed Help?Food AFood BFood COZOZOZOZOZOzRead ItContents (mg/oz)Calcium302520Iron Vitamin C1Watch It12254

Given that Susan's meals should contain at least 400 mg of calcium, 20 mg of iron, and 54 mg of…

Answered: Bob, a nutritionist who works for the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.t Assume that the cereal costs 11¢ per serving, the dessert costs 50c per serving, and the juice costs 30c per serving. If you want to provide your child with at least 240 calories, at least 120% of the RDA of Vitamin C, and at least 48 grams of carbohydrates, how can you do so at the least cost? | serving(s) | serving(s) Gerber Mixed Cereal for Baby Gerber Mango Tropical Fruit Dessert Gerber Apple Banana Juice serving(s)
Mandrake Falls High School is losing a lot of money through its school laboratories. Accidents and misuse of equipment by students are taking their toll on laboratory supplies. In an attempt to remedy this, Mandrake is experimenting with a weekend course in laboratory techniques. For the time being, lack of resources allow only a portion of Mandrake's lab students to take the weekend course: of the 200 students enrolled in lab classes at Mandrake, only 75 have been able to take the weekend course. Mandrake is interested in evaluating the course's effectiveness in propagating safety in the laboratories. During regular lab classes, lab instructors are recording harmful lab incidents: accidents, misuse of lab equipment, etc. The high school is looking at the data and examining two variables: laboratory performance ("involved in no incident", "involved in exactly one incident", or "involved in 2+ incidents") and status regarding lab techniques course ("took the techniques course" or…
Angela and Bob Ray keep a large garden in which they grow cabbage, tomatoes, and onions to make two kinds of relish—chow-chow and tomato. The chow-chow is made primarily of cabbage, whereas the tomato relish has more tomatoes than does the chow-chow. Both relishes include onions, and negligible amounts of bell peppers and spices. A jar of chow-chow contains 8 ounces of cabbage, 3 ounces of tomatoes, and 3 ounces of onions, whereas a jar of tomato relish contains 6 ounces of tomatoes, 6 ounces of cabbage, and 2 ounces of onions. The Rays grow 120 pounds of cabbage, 90 pounds of tomatoes, and 45 pounds of onions each summer. The Rays can produce no more than 24 dozen jars of relish. They make $2.25 in profit from a jar of chow-chow and $1.95 in profit from a jar of tomato relish. The Rays want to know how many jars of each kind of relish to produce to generate the most profit.a. Formulate a linear programming model for this problem. b. Solve this model graphically. c. Solve this model…
A patient takes vitamin pills. Each day he must have at least 300IU of vitamin A, 3 mg of vitamin B1, and 60 mg of vitamin C. He can choose between pill 1, which contains 180 IU of vitamin A, 1 mg of vitamin B1, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 1 mg of vitamin B1, and 40 mg of vitamin C. Pill 1 costs 25¢, and pill 2 costs 50¢. Complete parts a and b below. a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy nothing of pill 1 and nothing of pill 2. The minimum cost is $ nothing. (Simplify your answers. Type integers or decimals.)
A vendor specializing in outdoor gear offers customers three ways to place orders for home delivery. Customers can place orders either in the store, online, or via telephone using a catalog. Of the orders, three-quarters are made online with one-eighth each made in stores or via telephone. Of the online orders, 30% are only for clothing, 30% are only for camping supplies, and 40% are for both. For orders placed in the store, all are for clothing (to order a size that is not in stock). Among orders placed via telephone, 50% are only for clothing, 20% are only for camping supplies, and 30% are for both. Answer parts (a) and (b). (a) Organize these probabilities as a probability table. Purchase Method On-Line In Store Telephone Total Clothing 0.225 0.125 0.0625 0.4125 Purchase Camping 0.225 0.025 0.25 Both 0.3 0. 0.0375 0.3375 Total 0.75 0.125 0.125 1 (Simplify your answers. Type integers or decimals.) (b) What's the probability that the customer orders clothing, either by itself or in…
The Southfork Feed Company makes a feed mix from four ingredients--oats, corn, soybeans, and a vitamin supplement. The company has 300 pounds of oats, 400 pounds of corn, 200 pounds of soybeans, and 100 pounds of vitamin supplement available for the mix. The company has the following requirements for the mix:• At least 30% of the mix must be soybeans. • At least 20% of the mix must be the vitamin supplement. e The ratio of corn to oats cannot exceed 2 to 1. •The amount of oats cannot exceed theamount of soybeans. • The mix must be atleast 500 pounds.A pound of oats costs $0.50, a pound of corn, $1.20, a pound of soybeans, $0.60, and a pound of vitamin supplement, $2.00. The feed company wants to know the number of pounds of each ingredient to put in the mix to minimize cost. a. Express constraint of at least 30% of the mix must be soybeans b. Express constraint of at least 20% of the mix must be the vitamin supplement c. Express Constraint of the ratio of corns to oats cannot exceed 2…

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