2. You manage a chemical company with 2 warehouses. The following quantities ofImportant Chemical A have arrived from an international supplier at 3 differentports:Port 1Port 2Port 3Chemical Available (L)400110100The following amounts of Important Chemical A are required at your warehouses:Chemical Required (L)380230The cost in £ to ship 1L of chemical from each port to each warehouse is as follows:Warehouse 1Warehouse 2Port 1Port 2Port 3Warehouse 1 Warehouse 2£10£45£20£28£13£11(a) You want to know how to send these shipments as cheaply as possible. For-mulate this as a linear program (you do not need to formulate it in standardinequality form).

Let the parameter in L from port-1 to warehouse-1. Warehouse-1 Warehouse-2 Port-1 x1 x2…

Answered: You manage a chemical company with 2…

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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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).
A supplier for the automobile industry manufactures car and truck frames at two different plants. How many hours should each plant be scheduled to operate to exactly fill each of the orders in the right table? The production rates (in Frames per hour) for each plant are given in the left table. Plant A B Car Frames 2 3 Complete the table below. Number of hours for plant A Number of hours for plant B Truck Frames 4 7 1 Car frames Truck frames ... Orders 2 1 634 1454 3 Orders 2 751 1635 3 848 1846
A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the amounts of chemicals II and III must be in the ratio of 4 to 3. The amount of nitrogen must be at least 42 kg. The percent of nitrogen in the three chemicals is 7%, 3%, and 4%, respectively. If the three chemicals cost $1.08. $0.86, and $0.65 per kilogram, respectively, how much of each should be used to minimize the cost of producing at least 750 kg of the plant food? The minimum cost plant food is made with kg of chemical 1 kg of chemical II, andkg of chemical III (Type integers or decimals. Round to one decimal place as needed.)
Please clarify which option is correct
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.
5. Will orders two drinks at a coffee shop. Drink 1 contains 50% espresso. Drink 2 contains 10% espresso. How many ounces of Drink 1 and Drink 2 should Will mix together to get a new drink that is 20 oz. and contains 25% espresso. Fill in the last column of the table below showing the ounces of espresso in each drink. Drink 1 Drink 2 Mixture Ounces of Liquid X y 20 Concentration 0.50 0.10 0.25 Set up two equations from the table and solve the system for x and y. Ounces of Espresso
A diet supplies 0.8 grams of calcium per day, in addition to the nutrients listed in the table to the right. The amounts of calcium per unit (100 g) supplied by the three ingredients in the diet are as follows: 1.25 g from nonfat milk, 0.18 g from soy flour, and 0.8 g from whey. Another ingredient in the diet mixture is isolated soy protein, which provides the following nutrients in each unit: 78 g of protein, 0 g of carbohydrate, 3.6 g of fat, and 0.15 g of calcium. Complete parts (a) and (b) below. 0.42 X₁ x2 X3 11 34 45 3 0.8 CIES X4 (Type an integer or decimal for each matrix element.) Amounts (g) Supplied per 100 Amounts (g) g of Ingredient Supplied by Diet in One Day a. Set up a matrix equation whose solution determines the amounts of nonfat milk, soy flour, whey, and isolated soy protein necessary to supply precise amounts of protein, carbohydrate, fat, and calcium in the diet. Nutrient Nonfat Soy Whey Milk flour 36 Protein Carbohydrate 52 0 Fat 50 14 33 75 7 1.2 34 45 3
could you please write it with pen and paper? i appreciate it
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?
Example 3. Food I contains 10 units of vitamin A and 12 unit of vitamin R gram and cost 20 paise per gram. Food II contains 7 unit of vitamin A and 15 unis of vitamin B and costs 18 paise per gram. The daily requirement of vitamin A and R are atleast 80 units and 90 units respectively. Formulate the above as an LPP to per minimise the cost. CS Scanned with CamScanner
A company is producing 3 products A ,B and C. BOM of each product is given in the table below. Material Unit Product A Product B Product C Steel Ton 4 Aluminum KG 50 40 60 Wood CFT 10 10 Glass SFT 30 30 Rubber Sealer RFT 100 120 Screws Рack 5 6 4 Nut Bolt Dozen 2 Calculate the material requirements for 6 months production for all the products if monthly demand for A=1000, B=1200 and C=1500 units
Laura is planning to buy three 5-lb bags of sugar, six 5-lb bags of flour, three 1-gal cartons of milk, and six 1-dozen cartons of large eggs. The prices of these items in three neighborhood supermarkets are as follows. A = Sugar (5-lb bag) $3.15 $2.99 $3.74 B = Flour (5-lb bag) $3.79 $2.89 $2.98 Supermarket I Supermarket II Supermarket III (a) Write a 3 x 4 matrix A to represent the prices (in dollars) of the items in the three supermarkets. Milk (1-gal carton) $2.99 $2.79 $2.89 C = Eggs (1-dozen carton) $3.49 $3.29 $2.99 (b) Write a 4 x 1 matrix B to represent the quantities of sugar, flour, milk, and eggs that Laura plans to purchase in the three supermarkets. (c) Use matrix multiplication to find a matrix C that represents Laura's total outlay (in dollars) at each supermarket.

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