Consider the following approach:At an animal shelter, three types of food are provided for three species offreshwater turtles. Each turtle of species 1 consumes an average of 1 unit of food A,1 of B and 2 of C per week. Species 2 consumes 1 unit of food A, 4 of B and 5 ofC. Species 3 requires 2 units of food A 1 of B and 5 of C. It is known that the sheltercan supply weekly 99 units of food A, 181 units B and 320 units of C. If we assumethat the turtles consume all the food, indicate the number of turtles of each speciesthat the shelter can maintain.a. Establishes the system of linear equations that models the approachb. Solve the system of linear equations using the Gauss-Jordan method

At an animal shelter, three types of food are provided for three species of freshwater turtles. Each…

Answered: Consider the following approach: At an…

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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This time, our immune system is the best defense. With this, a Melagail wishes to mix two types of foods in such a way that vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C. Food A contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. Food B contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs ₱50 per kg to purchase Food A and ₱70 per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture and find the optimal solution graphically.
6. please help help!! Answer with step by step well explained: On Cybertron, we manufacture Autobots, produce energy and extract metals. • To produce a unit of Autobots, we need 0.6 units of energy and 0.8 units of metals. • To produce a unit of energy, we need 0.1 unit of Autobots, and 0.1 unit of energy. • To produce a unit of metal, we need 0.1 unit of Autobots, 0.2 unit of energy, and 0.1 unit of metals. In a production cycle, we export 6,500 units of Autobots (sent to the Great War) but have to import 4,100 units of energy and 2,000 units of metals (both obtained from other planets). • a) Identify the variables. • b) Give the system of linear equations that connects these variables with the Leontief model. • c) Give the augmented matrix for this problem that will be used to calculate the production levels of the three sectors. • d) Calculate the level of production of the third sector only (here metal).
The Sentry Lock Corporation sells a variety of electronic goods through television shows. The company has a number of storages to keep the goods it sells, but also takes out a lease on additional storage space when required. During the next 5 months the company anticipates that it is going to need to take out a lease on the following amounts of additional storage space: Month 1 2 3 4 5 Square Feet(ft2) Needed 20,000 30,000 40,000 35,000 50,000 In the beginning of any month the company can take out a lease on additional space for one or more months at the following costs: Lease Term (months) 1 2 3 4 5 Cost per Sq. Ft. Leased $55 $85 $130 $165 $185 Therefore, for example, in the beginning of month 1 the company can take out a lease on as much space as it requires for four months at a cost of $165 per ft2 . Similarly, in the beginning of month 3 it can take out a lease on any amount of space for two months at a cost of $85 per ft2 . The company needs to determine the optimal way of…
This time, our immune system is the best defense. With this, a Melagail wishes to mix two types of foods in such a way that vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C. Food A contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. Food B contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs ₱50 per kg to purchase Food A and ₱70 per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture and find the optimal solution graphically.
A large institution is preparing lunch menus containing foods A and B. The specifications for the two foods are given in the following table: Units of Units of Units of Fat Carbohydrates Protein Food per Ounce per Ounce per Ounce A 1 2 1 B 1 1 1 Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. How many ounces of each food should a serving contain to meet the dietary requirement at the least cost?
There are three factories located at AR, IN, and TX respectively. From these locations, a certain commodity is to be delivered to each of the two warehouses situated at A and B. The revenue per commodity item is $10. The weekly demand of the warehouse A and B are respectively 50 and 35 units of the commodity while the production capacity of the factories at AR, IN, and TX are respectively 28, 22, and 35 units. The cost of transportation per unit is given as belows. Cost Warehouse A Warehouse B AR 5 3 IN 6 6 TX 2 4 To maintain a good relationship with all the factories, warehouse B requires that it receives at least 40% of its product from factory in TX. Realize that it is making good profit in warehouse A, AR requires that at least 35% of its product shipped to warehouse A. Formulate (without solving) a linear programming problem to maximize the profit.
This time, our immune system is the best defense. With this, a Melagail wishes to mix two types of foods in such a way that vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C. Food A contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. Food B contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs ₱50 per kg to purchase Food A and ₱70 per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture
A freshly brewed shot of espresso has three distinct components: the heart, body, and crema. The separation of these three components typically lasts only 10 to 20 seconds. To use the espresso shot in making a latte, a cappuccino, or another drink, the shot must be poured into the beverage during the separation of the heart, body, and crema. If the shot is used after the separation occurs, the drink becomes excessively bitter and acidic, ruining the final drink. Thus, a longer separation time allows the drink-maker more time to pour the shot and ensure that the beverage will meet expectations. An employee at a coffee shop hypothesized that the harder the espresso grounds were tamped down into the portafilter before brewing, the longer the separation time would be. An experiment using 24 observations was conducted to test this relationship. The independent variable Tamp measures the distance, in inches, between the espresso grounds and the top of the portafilter (i.e., the harder the…
A company uses four special tank trucks to deliver four different gasoline products to customers. Eachtank has five compartments with capacities: 500, 750, 1200, 1500, and 1750 gallons. The daily demands forthe four products are 10000, 15000, 12000, and 8000 gallons. Any quantities that cannot be delivered by thecompany’s four trucks must be subcontracted at the additional costs of 5, 12, 8, and 10 cents per gallon forproducts 1, 2, 3, and 4, respectively. The goal is to develop the optimal daily loading schedule for the fourtrucks that will minimize the additional cost of subcontracting. Formulate this problem as an integer linearprogram, and solve it using linear program solver.
In a factory, machines R, S and T are all producing metal rods of the same length. Machine R produces 35% of the rods, machine S produces 40% and the rest are produced by machine T. Of their production of rods, machines R, S and T produce 4%, 5% and 3% defective rods respectively.
A refinery manufactures two grades of jet fuel, J1 and J2, by blending four types of gasoline, A, B, C, and D. Fuel J1 uses gasoline A, B, C and D in ratio of 1:1:2:4 and Fuel J2 uses gasoline A, B, C and D in ratio of 2:2:1:3. The supply limits for A, B, C, and D are 1000, 1200, 900 and 1500 bbl/day, respectively. The cost per bbl for gasoline for A, B, C, and D are $120, $90, $100 and $150, respectively. Fuels J1 and J2 sell for $200 and $250 per bbl, respectively and minimum demand for Fuel J1 and J2 is 200 and 400 bbl/day, respectively. Develop a LP model to determine the optimum production mix for J1 and J2 fuels.

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