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

See similar textbooks

Similar questions

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.)
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 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?
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.
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.
From the data given compute the sales price for each product T and O. From the data given compute variable cost per unit for each product T and O. Letter Co. produces and sells two products, T and O. It manufactures these products in separate factories and markets them through different channels. They have no shared costs. This year, the company sold 50,000 units of each product. Sales and costs for each product follow.
A national chain of clothing goods stores recently sent shipments to the following stores. The number of items shipped to each store and their total wholesale cost is shown in the table below. Find the wholesale price of one of each item. Jeans Jackets Sweaters Shirts Total Cost Store A 4000 2100 4100 $596.675 4000 3800 5000 7000 549,575 601,275 502,050 Store B 3500 1900 4300 Store C 3000 2400 5500 Store D 1700 600 6000 The cost of a pair of jeans is $ The cost of a jacket is $ The cost of a sweater is $ The cost of a shirt is $

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS