Problem 1Consider the following production problem. A furniture company builds tables and chairs using only woodand nails. Each table requires 4 planks of wood and 2 boxes of nails. Each chair requires 1 plank of woodand 2 boxes of nails. The company currently has 2000 planks of wood and 1200 boxes of nails. Each tableyou build can be sold for $100 and each chair can be sold for $40.a) Formulate an LP that will solve this problem. (Assume that you can build fractional tables and chairs.)b) Now formulate the dual for this problem.c) Using Excel, solve the dual LP. Write up your solution. Also print out and attach your Answer Report.

Concept Used There is always a corresponding Linear Programming Problem (LPP) associated with every…

Answered: Problem 1 Consider the following…

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

A game company is developing two new games, a board game, and a mechanical game. Each board game requires 1/2 hr to manufacture, 1/2 hr to assemble, and 1/2 to inspect and package. In given week there are 40 hours available for manufacturing, 32 hours available for assembly, and 18 hours available for inspection and packaging. Suppose the profit on each game is $10 and the profit on each mechanical game is $15. How many of each game should be produced each week for maximum profit?
Scenario 2: In the bathroom, the homeowners wish to install subway tile around the tub. The tile will be placed above the tub on the three sides that are enclosed. The bathroom has a 9-foot ceiling height and the tub is 60 inches long by 32 inches wide by 19 inches high. The tile the homeowners have selected is 3 inches by 12 inches and is sold by the box. Each box costs $34.99 and contains 22 tiles. The supplier provides free delivery and recommends purchasing a minimum of 10% overage. Question 6: Find the total cost for the tile, including sales tax.
A carpenter builds bookshelves and tables for a living. Each bookshelf takes one box of screws, two 2 ✕ 4's, and three sheets of plywood to make. Each table takes two boxes of screws, two 2 ✕ 4's, and four sheets of plywood. The carpenter has 55 boxes of screws, 70 2 ✕ 4's, and 115 sheets of plywood on hand. In order to maximize their profit using these materials on hand, the carpenter has determined that they must build 10 shelves and 20 tables. How many of each of the materials (boxes of screws, 2 ✕ 4's, and sheets of plywood) are leftover, when the carpenter builds 10 shelves and 20 tables? The carpenter has _ boxes of screws, _ 2 ✕ 4's, and _ sheets of plywood leftover.
Problem Il: A company plans to make 3 models (A, B, and C) of their main product next month. Production capacity is limited to 100 totals. Each model takes the same about of production time. A supplier problem results in only 1,000 gallons being available next month. Each Model A requires 5 gallons of paint, each Model B requires 7 gallons and each Model C requires 10 Ballons. Marketing wants the following mix: at least 5 Model B's; and no more than 2 Model C's for each Model B produced. The firm wants to select that product mix so as to maximize profit contribution. Here are the numbers that go into profit contribution: Product profit per unit A 1600 $ 1500 $ B 1200 S Formulate this as a linear programming problem.
PROBLEM 03: The Jokia Cell Phone Company manufactures two models of cell phones - the Wombat and the Sloth. Each Wombat phone uses 2.5 ounces of gold leaf and 3 ounces of plastic, whereas each Sloth phone uses 2 ounces of gold leaf and 2 ounces of plastic. Each day, the company has only 370 ounces of gold leaf and 420 ounces of plastic to be used for making cell phones. If the company makes the correct number of each type of phone on a given day to use up all of the available gold leaf and plastic, how many Wombat phones will be made? A) 60 B) 100 C) 50 D) 90 E) 110 N) none of the above
A company makes three components for sale. The components are processed on two machines: a shaper and a grinder. The time required. (in minutes) on each machine are as follows: Component Shaper Time Grinder Time A 6 4 B 4 5 C 4 2 The shaper is available for 7200 min. and grinder for 6600 min. No more than 200 units of component C can be sold, but up to 1000 units of each of the other components can be sold. In fact the company has orders for 600 units of component A that must be satisfied. The profit contributions for components A, B and C are $8, $6 and $9 respectively. Formulate the problem for deciding the production quantities. Solve the problem using Excel Solver. Run the sensitivity analysis report in Excel Solver. What are the objective coefficient ranges (Range of Optimality) for each coefficient. Interpret these. What are the dual prices for each constraint? Interpret these. What are the right-hand side ranges (Range of Feasibility)? Interpret them. If more time is…
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.
both sheets are for the same problem.
Question 2 Ana and Beverly, produce the same product on identical machines. Ana receives $25 per hour and produces 100 units per hour. Beverly is able to produce 140 units per hour. The machine rate or cost of operation used by them is $100 per hour. The cost per piece of Ana's product is $ Blank 1 per piece. The hourly wage of Beverly in order that her cost per piece will equal that of Ana is $ Blank 2 per hour. Note: No need to type the UOM (Unit of Measure). Show answer (round off) to two decimal places. Blank 1 Add your answer Blank 2 Add your answer

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