A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply 1 unit of protein, 2 units of carbohydrates, and 1 unit of fat. Each ounce of nuts will supply 1unit of protein, 1 unit of carbohydrates, and 1 unit of fat. Every package must provide at least 8 units of protein, at least 12 units of carbohydrates, and no more than 11 units of fat.Let x equal the ounces of fruit and y equal the ounces of nuts to be used in each package.a. Write a system of inequalities to express the conditions of the problem.b. Graph the feasible region of the system.a. Fill in the chart.ProteinCarbohydratesFatFruitunit(s) per ounceunit(s) per ounceunit(s) per ounceNutsunit(s) per ounceunit(s) per ounceunit(s) per ounce..Requirements perpackageAt leastAt leastNo more thanunit(s)unit(s)unit(s)

Each ounce of fruit will supply 1 unit of protein, 2 unit of carbohydrate , 1 unit of fat Each ounce…

Answered: A dietician is planning a snack package…

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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A patient takes vitamin pills. Each day he must have at least 540 IU of vitamin A, 35 mg of vitamin B, and 80 mg of vitamin C. He can choose between pill 1, which contains 180 IU of vitamin A, 5 mg of vitamin B , and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 5 mg of vitamin , and 20 mg of vitamin C. Pill 1 costs 30 cent , and pill 2 costs 15 cent . 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 _____ of pill 1 and ______of pill 2. The minimum cost is $________. b. For the solution in part a, the patient is receiving more than he needs of at least one vitamin. Identify that vitamin, and tell how much surplus he is receiving. He is receiving ____ IU of vitamin A, _____ mg of vitamin B, ______ mg of vitamin c more than he needs
A bakery produces cakes, doughnuts and muffins. Each cake requires 30 kg of flour, 21 kg of sugar and 12 kg of butter. Each doughnut requires 14, 12 and 6 kilograms of three ingredients, respectively. Finally, each muffin requires 8, 6 and 4 kilograms of these ingredients, respectively. Putting this information into table form, we get: Q10 Flour Sugar Butter Cakes 30 21 12 Doughnuts 14 12 Muffins 4 Supplies of these ingredients vary from day to day, so the bakery needs to determine a different production run each day. If 480 kg of flour, 360 kg of sugar and 200 kg of butter are available, find the number of cakes, doughnuts and muffins to be baked that day using all suitable numerical methods. You have to explain the chosen of the method and why the other method cannot be used. Check your exact answer using scientific calculator or inverse matrix method In Microsoft Excel.
You would like to make a nutritious meal of eggs, edamame, and elbow macaroni. The meal should provide at least 30 g of carbohydrates, at least 20 g of protein, and no more than 60 g of fat. An egg contains 2 g of carbohydrates, 17 g of protein, and 14 g of f A serving of edamame contains 12 g of carbohydrates, 12 g of protein, and 6 g of fat. A serving of elbow macaroni contains 43 g of carbohydrates, 8 g of protein, and 1 g of fat. An egg costs $2, a serving of edamame costs $5, and a serving of elbow macaroni costs $3. Formulate a linear optimization model that could be used to determine the number of servings of egg, edamame, and elbow macaroni that should be in the meal in order to meet the nutrition requirements at the minimal cost. a) Define the decision variables. b) Write down the objective function. c) Write down the constraints.type solution pls
A mining company has two mines. One day's operation at mine #1 produces ore that contains 10 metric tons of copper and 590 kilograms of silver, while one day's operation at mine 10 and V₂ = #2 produces ore that contains 20 metric tons of copper and 550 kilograms of silver. Let v₁ 20 550 Then v₁ and v₂ represent the "output per day" of mine #1 and 590 mine #2, respectively. Complete parts (a) through (c) below. a. What physical interpretation can be given to the vector 2v₁? O A. It is the output of copper at mine #1 after 2 days of operation. B. It is the output at mine #1 after 2 days of operation. O C. It is the output at mine #2 after 2 days of operation. OD. It is the output of silver at mine #1 after 2 days of operation. C... b. Suppose the company operates mine #1 for x₁ days and mine #2 for x₂ days. Write a vector equation in terms of v₁ and v₂ whose solution gives the number of days each mine should operate in order to produce 72 tons of copper and 2610 kilograms of silver. Do…
An oil supertanker has a deadweight tonnage (the total amount that it can carry in crew, supplies, and cargo) of 300,000 long tons. Assume that the crew and supplies are 15,000 long tons and the rest consists entirely of oil. The density of oil is 53.0629 pounds per cubic foot, 1 cubic foot is 7.4813 gallons, 1 long ton is 2240 pounds, 1 barrel of oil is 42 gallons, and the price of oil is $58.09 per barrel. What is the value of the oil in the tanker?
A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply 6 units of protein 4 units of carbohydrates, and 4 unit of fat, and will contain 18 calories. Each K ounce of nuts will supply 3 units of protein, 3 unit of carbohydrate, and 5 units of fat, and will contain 29 calories. Every package must provide at least 6 units of protein, at least 10 units of carbohydrates, and no more than 11 units of fat. What is the least number of calories possible in a package? Write out the inequality for protein using x and y as your variables for ounces of fruit and nuts respectively (Use variables in order) Write out the inequality for carbohydrates using x and y as your variables for ounces of fruit and nuts respectively (Use variables in order) 0 Write out the inequality for fat using x and y as your variables for ounces of fruita my instructor srespectively (Use variables in order)

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