Consider the following example and then fill in the objective function.Incline Electronics produces three different products in a plant that is open 40 hours per week. Each product requires the following processing times (in hours) on each ofthree machines.Product 1Product 2Product 3Machine 1221Machine 2346Machine 346Each machine must be run by one of 19 cross-trained workers who are each available 35 hours per week. The plant has 10 type 1 machines available, 6 type 2 machinesavailable, and 8 type 3 machines available. Products 1, 2, and 3 contribute $90, $120, and $150, respectively, in marginal profit per unit produced.MIN or MAXP1 +P2 +P3

Consider the given scenario. Incline Electronics produces 3 different products. The plant is open 40…

Consider the following example and then fill in the objective function. Incline Electronics produces three different products in a plant that is open 40 hours per week. Each product requires the following processing times (in hours) on each of three machines. Product 1 Product 2 Product 3 Machine 1 2 2 1 Machine 2 3 6 Machine 3 6 Each machine must be run by one of 19 cross-trained workers who are each available 35 hours per week. The plant has 10 type 1 machines available, 6 type 2 machines available, and 8 type 3 machines available. Products 1, 2, and 3 contribute S90, $120, and $150, respectively, in marginal profit per unit produced. MIN or MAX P1 + P2 + P3

Consider the following example and then fill in the objective function. Incline Electronics produces three different products in a plant that is open 40 hours per week. Each product requires the following processing times (in hours) on each of three machines. Product 1 Product 2 Product 3 Machine 1 2 2 1 Machine 2 3 6 Machine 3 6 Each machine must be run by one of 19 cross-trained workers who are each available 35 hours per week. The plant has 10 type 1 machines available, 6 type 2 machines available, and 8 type 3 machines available. Products 1, 2, and 3 contribute S90, $120, and $150, respectively, in marginal profit per unit produced. MIN or MAX P1 + P2 + P3

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

Protective Research, Inc. received an order to produce a specially designed fence for preventing automobile accidents on the highways. The fence is manufactured in two sections, each requiring no more than 9 units of material A and no more than 6 units of material B. While each unit of material A weighs 4 kgs and B weighs 6 kgs, the final product must weigh exactly 48 kgs. Management figures profit in terms of input units, $240 per unit from material A and $160 from material B. What is the profitable mix.
Ethan Steel, Inc. has three factories that manufacture steel components for three different rail projects located at three different sites. They want to determine how many steel components must be transported from each factory to each project site. The demand for the steel components for the three projects, A, B and C, are 2500, 3000 and 4500, respectively. The production and shipping details are as below: Production details: Factory Maximum capacity 1 3000 5000 3000 2 3 Shipping details (with per-unit shipping cost in dollars): Project Factory A B C 1 7 8 2 2 6 5 4 3 1 9 6 Develop a linear programming optimization model to determine the distribution plan (from factories to projects) that minimizes the total transportation cost. (Do NOT solve the model.)
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.
Terra Mesa Manufacturing uses a job order cost system to account for its production of specialty patio furniture. At the beginning of June, Terra Mesa had one job in Work in Process, job A75. Management has chosen direct labor cost as its activity base. The costs incurred to date on job A75 are as follows: Direct materials $8260 Direct labor 10500 Overhead 13125 During June, Terra Mesa added the following costs for direct materials and direct labor to job A75: Direct materials $2630 Direct labor 4620 Job A75 was competed on June 30. What is the cost of job A75? $26010 $39135 $44910 $42831
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.
XYZ Corporation operates two plants, each of which has a capacity of 200 units per day. Each day, XYZ must ship their product to each of four customers. Customers A, B, and C each have a demand of 17 units per day while customer D has a demand of 349 units per day. The cost of shipping one unit of each product from each of the two plants to each of the customers is shown in the table below. Customer A Customer B Customer C Customer D Plant 1 25 19 12 14 Plant 2 15 21 23 20 How many units should XYZ ship from each plant to each customer?
Need only a handwritten solution only (not a typed one).
Anela is a computer scientist who is formulating a large and complicated program for a type of data processing. She has three ways of storing and retrieving data: cloud storage, disk, or hard drive. As an experiment, she sets up her program in three different ways: one using cloud storage, one using disks, and the other using a hard drive. Then she makes four test runs of this type of data processing on each program. The time required to execute each program is shown in the following table (in minutes). Use a 0.01 level of significance to test the hypothesis that the mean processing time is the same for each method. Hard Drive Cloud Disks 8.8 7.5 7.1 8.8 9.2 6.6 8.0 7.2 10.2 7.6 7.9 8.0 (i) Give the value of the level of significance. (ii) Find the sample test statistic. (Round your F Ratio to two decimal places. Round all other answers to four decimal places.) (vi) In the case of one-way ANOVA, make a summary table. (Round your answers to three decimal places.)…
consider the production scheduling problem of the perfume polly named after a famous celebrity. the manufacturer of the perfume must plan production for the first four months of the year and anticipates a demand of 4000, 5000, 6000, and 4500 gallons in january, february, march, and april, respectively. at the beginning of the year the company has an inventory of 2000 gallons. the company is planning on issuing a new and improved perfume called pollygone in may, so that all polly produced must be sold by the end of april. assume that the production cost for january and february is $5 per gallon and this will rise to $5.5 per gallon in march and april. the company can hold any amount produced in a certain month over to the next month at an inventory cost of $1 per unit. formulate a linear optimization model that will minimize the costs incurred in meeting the demand for polly in the period january through april. assume for simplicity that any amount produced in a given month may be used…
A florist provides fresh flowers to shops in Wollongong. At present she has one nursery in Goulburn with capacity 9000 units a year. The florist is considering opening shops in Canberra and Sydney, and has found three potential nursery sites at Wagga, Orange and Bathurst. The transportation tableau below summarises the projected nursery capacities (units), the cost per unit of shipping from each nursery to each destination (dollars), and the demand (units) for the coming year. j=1 j=2 j=3 Sydney Capacities Wollongong Canberral 5 i=1 Goulburn 12 9000 i=2 Wagga 7 10 4000 i=3 Orange 4 7000 i=4 Bathurst 11000 Demand 11000 5000 8000 There are further constraints on how the nurseries can be located: • If a nursery is located in Wagga, another must be located in Bathurst and vice- versa. • One nursery can be located in Orange or Bathurst, but not both. Suppose that the costs of establishing new nurseries are Wagga $180,000 Orange $160,000 Bathurst $270,000 The goal is to develop a 0-1…
Bexter Labs produces three products: A, B, and C.Bexter can sell up to 2000 units of product A, up to 3000 units of product B, and up to 5000 units of prod-uct C. Each unit of product C uses two units of A and three units of B and incurs $7 in processing costs. Prod-ucts A and B are produced from either raw material 1 or raw material 2. It costs $9 to purchase and process one unit of raw material 1. Each processed unit of raw mate-rial 1 yields two units of A and four units of B. It costs $5 to purchase and process a unit of raw material 2.Each processed unit of raw material 2 yields one unit ofA and three units of B. The unit prices for the products are: A, $10; B, $9; and C, $32. The quality levels ofeach product are: A, 7; B, 9; and C, 6. The average quality level of the units sold must be at least 8. Deter-mine how to maximize Bexter’s profit.
General Ford produces cars in Los Angeles and Detroit and has a warehouse in Atlanta. The company supplies cars to customers in Houston and Tampa. The costs of shipping a car between various points are listed as the table below. where a blank means that a shipment is not allowed. Los Angeles can produce up to 1600 cars, and Detroit can produce up to 3200 cars. Houston must receive 1800 cars, and Tampa must receive 2900 cars. 1. Determine how to minimize the cost of meeting demands in Houston and Tampa. 2. Modify the answer to part a if no shipments through Atlanta are allowed. From LA Detroit Atlanta Houston Tampa To LA Detroit $97 $94 $87 $129 $147 $100 $103 $145 Atlanta Houston $95 $125 $103 $110 $95 $88 $60 $103 Tampa $156 $148 $56 $100