Chapter 1.4, Problem III.15E

Pete is an engineer. He has a degree and has been working for his current organisation for the past 10 years. He likes nothing better than to have the time and space to develop and work on new projects. He is particularly interested in the new computer systems and techniques which support his work. In fact, he often takes the software packages home to tinker about on his home computer with them. He loves the mathematical challenge of it all, but gets frustrated at times with the sales team who seem to change their mind about what they want. In addition, the procurement department always seem to want masses of paperwork from him. Whilst he is dedicated to his job, he has quite a few outside interests and likes to work regular hours so that he can manage his social commitments.  What do you think Pete’s motivational package is? As his manager, how could you encourage Pete to maintain and develop his motivation?

If required, round your answers to the nearest whole number.   Optimal Solution Units Cost 1-A fill in the blank 34 $  fill in the blank 35 1-B fill in the blank 36 $  fill in the blank 37 1-C fill in the blank 38 $  fill in the blank 39 2-A fill in the blank 40 $  fill in the blank 41 2-B fill in the blank 42 $  fill in the blank 43 2-C fill in the blank 44 $  fill in the blank 45 3-A fill in the blank 46 $  fill in the blank 47 3-B fill in the blank 48 $  fill in the blank 49 3-C fill in the blank 50 $  fill in the blank 51     Total $  fill in the blank 52

Green Vehicle​ Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either​ vehicle, processing in the assembly shop and in the paint shop are required. It takes ​1/25 of a day and ​1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint​ shop, respectively. It takes ​1/45 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $300 and $220​, ​respectively, per vehicle sold. The optimum solution​ is: Number of trucks to be produced per day​ = ? ​(round your response to two decimal​ places).

Green Vehicle​ Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either​ vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/25 of a day and 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint​ shop, respectively. It takes ​1/45 of a day to assemble either type of vehicle in the assembly shop.   A T1 truck and a C1 car yield profits of $300 and $220​, respectively, per vehicle sold.   The aim of the objective function for Green Vehicle Inc. should be to Maximize the objective value. Part 2 The optimum solution​ is: Number of trucks to be produced per day​ = ? enter your response here

Describe the bounds, limitations, requirements, proportional relationships, and balance constraints: Korey is a business student at State U. She has just completed a course in decision models, which had a midterm exam, a final exam, individual assignments, and class participation. She earned an 86% on the midterm, 94% on the final, 93% on the individual assignments, and 85% on participation. The benevolent instructor is allowing his students to determine their own weights for each of the four grade components—of course, with some restrictions: The participation weight can be no more than 15%. The midterm weight must be at least twice as much as the individual assignment weight. The final exam weight must be at least three times as much as the individual assignment weight. The weights of the four components must be at least 10%. The weights must sum to 1.0 and be nonnegative.

A linear programming computer package is needed. Western Family Steakhouse offers a variety of low-cost meals and quick service. Other than management, the steakhouse operates with two full-time employees who work 8 hours per day. The rest of the employees are part-time employees who are scheduled for 4-hour shifts during peak meal times. On Saturdays the steakhouse is open from 11:00 a.m. to 10:00 p.m. Management wants to develop a schedule for part-time employees that will minimize labor costs and still provide excellent customer service. The average wage rate for the part-time employees is $7.60 per hour. The total number of full-time and part-time employees needed varies with the time of day as shown. Time Number of Employees Needed 11:00 a.m.–Noon 9 Noon–1:00 p.m. 9 1:00 p.m.–2:00 p.m. 9 2:00 p.m.–3:00 p.m. 3 3:00 p.m.–4:00 p.m. 3 4:00 p.m.–5:00 p.m. 3 5:00 p.m.–6:00 p.m. 6 6:00 p.m.–7:00 p.m. 12 7:00 p.m.–8:00 p.m. 12 8:00 p.m.–9:00 p.m. 7 9:00 p.m.–10:00…

: You are employed by Univeristy of Gujrat , a university that provides a range of training and education, including Computing, and Information & Communication Technology (ITC). The Head of Department of ITC, Mr Rumi, has discovered that on more than one occasion recently a computer virus has been introduced to the computers in the department. He thinks that the viruses have been introduced from computer disks brought in by students. He has decided to introduce a system where all disks used in the department must be checked for a virus before they can be put into the computers. He says to you, I would like you to send a memo in my name to all teachers who use the computer rooms. You will have to tell them that all disks brought in  by students must be checked before there are used. The teachers have to check them carefully, of course. We have got to stop these viruses being introduced before they cause serious problems. Oh yes, reminds them to lock up the rooms when they leave.…

Please answer the question as quickly as possible A toy company has developed two new toys for possible inclusion in its product line for the upcoming Christmas season. Setting up the production facilities to begin production would cost $50,000 for toy 1 and $80,000 for toy 2. Once these costs are covered, the toys would generate a unit profit of $10 for toy 1 and $15 for toy 2. The company has two factories that are capable of producing these toys. However, to avoid doubling the start-up costs, just one factory would be used, where the choice would be based on maximizing profit. For administrative reasons, the same factory would be used for both new toys if both are produced. Toy 1 can be produced at the rate of 50 per hour in factory 1 and 40 per hour in factory 2. Toy 2 can be produced at the rate of 40 per hour in factory 1 and 25 per hour in factory 2. Factories 1 and 2, respectively, have 500 hours and 700 hours of production time available before Christmas that could…

Show your step-by-step process using the SPECIAL PURPOSE LINEAR PROGRAMMING: ASSIGNMENT METHOD to solve this problem. Four Engineers are to work on 4 projects of Dora Company. The problem is to decide which engineer should be assigned to which project. Each engineer charges different fees on each project, due to distances of the projects and the complexity of the work. The cost of assigning particular engineers to particular projects are as stated below. The objective is to find the lease cost of assignment. Engineer 1 to Projects A, B, C, D = $11k, $8k, $10k, $7k respectively.Engineer 2 to Projects A, B, C, D = $6k, $5k, $3k, $8k respectively.Engineer 3 to Projects A, B, C, D = $4k, $8k, $10k, $9k respectively.Engineer 4 to Projects A, B, C, D = $11k, $10k, $5k, $7k respectively.