A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assembly line 2 has 42 available hours. Each product requires 10 hours of processing time on line 1, while on line 2 product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 is $6 p
Amy Lloyd is interested in leasing a new Saab and has contacted three automobile dealers for pricing information. Each dealer offered Amy a closed-end 36-month lease with no down payment due at the time of signing. Each lease includes a monthly charge and a mileage allowance. Additional miles receive a surcharge on a per-mile ba
(See attached file for full problem description) --- Margaret Magee has served both as an outside director to Maxcor Manufacturing since 1995 and as a member of the company's compensation committee since 2002. Margaret has been reviewing Maxcor's 2005 preliminary earnings statement in preparation for the February 2006 board
Mytrle Air Express decided to offer direct service from cleveland to mytrle beach. Management must decide between a full-proce service using the company's new fleet of jet aircraft and a discount service using smaller capacity commuter planes. It is clear that the best choice depends on the market reaction to the service mytrle
A) A large Midwestern railroad finds that it must steam clean its cars once a year. It is considering two alternatives for its steam-cleaning operation. Under alternative 1, the railroad would operate two steam-cleaning booths, operating in parallel at a total annual cost of $50,000. The service time distribution under this alt
A bicycle parts supplier utilizes a press to produce a number of parts to a major bicycle manufacturer. One of the parts manufactured on the press has an annual demand of 50,000 units. The part is produced at a rate of 600 units per day. There are 250 working days throughout a year. The annual inventory carrying cost is estimate
Stelle Office Supplies Inc. (SOSI) must fill an order for 2000 modular office dividers. Each divider consists of a frame, a set of legs, and a panel. SOSI has limited production and finishing time available and is considering the purchase of some of the components. Let x1, x2, and x3 be the number of frames, leg sets, and panel
Boston's famous Limoges Restraurant is open 24 hours a day. Servers report for duty at 3 am, 7 am, 11 am, 3 pm, 7 pm, or 11 pm, and each works an 8 hour shift. The following table shows the minimum number of workers needed during the 6 periods into which the day is divided. See attached file for the chart Owner Michelle Li
The Arden County, Maryland, superintendent of education is responsible for assigning students to the three high schools in his county. He recognizes the need to bus a certain number of students, for several students of the county are beyond walking distance to a school. The superintendent partitions the county into five geograph
Find the value of Y in the optimal solution to this linear programming problem. Max 2X + 3Y s.t. 4X + 9Y < 72 10X + 11Y < 110 17X + 9Y < 153 X , Y > 0 a 6.087 b 3.113 c 0 d
Please help with the following problem. I have chosen to offer incentives for night unloading to reduce congestion during daylight hours and add personnel to have an employee operate the dumps instead of the truck driver (how the clean chip dumps operate with an average of 8 min. turn around); this would involve some capital
Roedel Electronics produces a variety of electrical components, including a remote controller for televisions and a remote controller for VCR's. Each controller consists of three subassemblies that are manufactured by Roedel : a base, a cartridge, and a keypad. Both controllers use the same base subassembly, but different cartri
Problem is enclosed in attachment. --- Hawkins manufacturing Company produces connection rods for 4- and 6- cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2000, and the cost required to set up the production line for
Enclosed problem in attachment. a. Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. b. Solve the LP Relaxation of this problem c. Find the optimal integer solution.
Explain the importance of qualitative and quantitative research.
2. A large book publisher has five manuscripts that must be edited as soon as possible. Five editors are available for doing the work, however their working times on the various manuscripts will differ based on their backgrounds and interests. The publisher wants to use an assignment method to determine who does what manuscript.
You are trying to determine the best mix of bombers, fighters, and refueling aircraft in the next generation of the Air Force budget. You want to optimize effectiveness, subject to a variety of constraints, including cost. You plan to use linear programming, but know that you cannot have a portion of an aircraft. What do you do?
Use Excel Investment Advisors, Inc., is a brokerage firm that manages stock portfolios for a number of clients. A particular portfolio consists of U shares of U.S. Oil and H shares of Huber Steel. The annual return for U.S. Oil is $3 per share and the annual return for Huber Steel is $5 per share. U.S. Oil sells for $25
Consider the following linear programming: Max 5 x 1+7 x 2 2 x 1+ 5 x 2 ≥3 -x 1 + 5 x 2 ≥ 4 3 x 1 + 2 x 2 ≤ 35 3/7 x 1 + x 2 ≤ 10 x 1 , x 2 ≥ 0 a. solve this problem using the graphical solution procedure. b compute the range of optimality for the objective function coefficient of x1.
Give an evaluation of how to use one of the quantitative tool (Linear programing )and in which situations they work best.
TRUE/FALSE 1. A linear programming model consists of decision variables, constraints, but no objective function. 2. In a linear programming model, the number of constraints must be less than the number of decision variables. 3. The values of decision variables are continuous or divisible. 4. All linear programming mo
(See attached file for full problem description) --- A manufacturer of headphone speakers has a production process that involves assembling purchased components and subassemblies. The production process is being analyzed to identify ways to produce the headphones more efficiently. It is expected that a process chart and as
RMC, Inc. is a small firm that produces a variety of chemical products. In a particular production process, three raw materials are blended to produce two products, a fuel additive and a solvent base. Each ton of fuel additive is a mixture of 2/5 ton of material 1 and 3/5 ton of material 3. A ton of solvent base is mixture of
The Wiethoff Company has a contract to produce 10000 garden hoses for a customer. Wiethoff has 4 different machines that can produce this kind of hose. Because these machines are from different manufacturers and use differing technologies, their specifications are not the same. Machine Fixed cost to set up production
Consider the following integer linear programming problem Max Z = 3x1 + 2x2 Subject to: 3x1 + 5x2 30 4x1 + 2x2 28 x1 8 x1 ,x2 0 and integer The solution to the Linear programming relaxation is: x1 = 5.714, x2= 2.571. What is the upper bound for the value of the objective functi
Fill in the blank 1. In a problem involving capital budgeting applications, the 0-1 variables designate the ____________ or _____________ of the different projects. 2. If exactly one investment is to be selected from a set of five investment options, then the constraint is often called a ____________ constraint. 3. If
True/False 1. Rounding non-integer solution values up to the nearest integer value will still result in a feasible solution to an integer programming problem. 2. Rounding non-integer solution values up to the nearest integer value will still result in a feasible solution. 3. The solution to the LP relaxation of a minimi
TRUE/FALSE In formulating a typical diet problem using a linear programming model, we would expect most of the constraints to be (less-than-or-equal-to) type.
TRUE/FALSE When formulating a linear programming problem constraint, strict inequality signs (i.e., less than < or, greater than >) are not allowed.
Why should decision makers who are primarily concerned with marketing or finance or production know about linear programming?