A dietitian is asked to design a special dietary supplement using two different foods. Each ounce of food Xcontains 20 units of calcium, 15 units of iron, and 10 units of vitamin B. Each ounce of food Y contains 10units of calcium, 10 units of iron, and 20 units of vitamin B. The minimum daily requirements of the diet are300 units of calcium, 250 units of iron, and 350 units of vitamin B. Write a system of inequalities describing thedifferent amounts of food X and food Y that can be used.20x + 10y 2 30015x + 10y 2 25010x +20y 2 350x20ly2020x+ 10y 2 35015x+ 10y 2 30010x +20y 2 250x2020x + 10y 2 25015x + 10y 230010x +20y 2 350x20ly2020x + 10y 2 35015x + 10y 2 25010x + 20y 2 300x20ly2020x +10y 2 25015x+10y 235010x +20y 2 300x20

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Answered: A dietitian is asked to design a…

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 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…
A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2700 mg of iron, 2400 mg of vitamin B-1, and 1800 mg of vitamin B-2, One Maxivite pill contains 500 mg of iron, 200 mg of vitamin B-1, and 100 mg of vitamin B-2, and costs $0.05. One Healthovite pill provides 100 mg of iron, 150 mg of vitamin B-1, and 150 mg of vitamin B-2, and costs $0.06. Complete parts (a)-(c) below. (a) What combination of Maxivite and Healthovite pills will meet the walrus's requirement at lowest cost? What is the lowest cost? Set up the linear programming problem. Let m represent the number of Maxivite pils, h represent the number of Healthovite pills, and c represent the total cost in dollars. Minimize c= 0.05m + 0.06h subject to 500m + 100h 2 2700 200m + 150h 2 2400 100m + 150h 2 1800 m20, h 2 0. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) The best combination of pilts that moets the walrus's…
Draw a venn diagram representing the three methods for solving systems of linear equations
Name the three types of solutions linear systems can have and give a graphical example of each type using two variables.
A mining company owns two mines. These mines produce an ore that can be graded into two classes: regular grade and low grade. The company must produce at least 420 tons of regular - grade and 520 tons of low-grade ore per week. The first mine produces 6 tons of regular - grade and 18 tons of low-grade ore per hour. The second mine produces 18 tons of regular - grade and 9 tons of low-grade ore per hour. The operating cost of the first mine is $7000 per hour, and the operating cost of the second mine is $ 22,000 per hour. The first mine can be operated no more than 37 hours a week, and the second mine can be operated no more than 28 hours a week. How many hours per week should each mine be operated to minimize the cost?
A diet is to contain at least 1596 units of carbohydrates, 2700 units of proteins, and 2568 calories. Two foods are available: F₁ which costs $0.02 per unit and F2, which costs $0.04 per unit. A unit of food F₁ contains 2 units of carbohydrates, 5 units of proteins and 6 calories. A unit of food F₂ contains 8 units of carbohydrates, 5 units of proteins and 4 calories. Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimal nutrition requirements. Corner points of the feasible region: If there is more than one corner point, type the points separated by a comma (i.e. (1,2),(3,4)). Minimum cost is: $ when F₁ = and F2 = units units.

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