ants to work more than a total of 12 hours a week. She has determined that for every hour she works at Job I, she needs 2 hours she needs one hour of preparation time, and she cannot spend more than 16 hours for preparation. She makes $40 an hour at income. Using simplex method, what is the smallest number in the bottom row of the simplex table?
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- Sunseel Industries produces two types of raw materials, A and B, with a production cost of $4 and $8 per unit, respectively. The combined production of A and B must be at least 700 units per month. The factory is expected to produce at least 400 units of B and not more than 1200 units of A each month. The processing times for A and B are observed to be 5 hours and 4 hours, respectively. A total of 3000 production hours are available per month. Develop a linear program that Sunseel Industries can use to determine the number of units of each raw material to produce that will meet the demand and minimize the total cost.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 1/40 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 1/50 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. a) Define the objective function and constraint equations. b) Graph the feasible region. c) What is a maximum-profit daily production plan at the new factory? d) How much profit will such a plan yield, assuming whatever is produced is sold?A restaurant operates from 8 a.m. to 8 p.m. and employs both full-time and part-time workers. Full-time workers work from 8 a.m. to 6 p.m., 9 a.m. to 7 p.m., or 10 to 8 p.m. and are paid $140 per day. Part-time workers work either 12 p.m. to 6 p.m. or 1 p.m. to 7 p.m. and are paid $85 per day. The number of employees needed every hour is as follows. Develop a work schedule that minimizes daily labor costs. What is the optimal minimum cost? 8-9A 7 9-10A 8 10-11A 8 11A-12P 6 12-1P 7 1-2P 8 2-3P 10 3-4P 9 4-5P 9 5-6P 8 6-7P 3 7-8P 2
- The Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle. Plastic used in one unit of each is 1.5, 2.0 and 1.0 pounds, respectively. Rubber for one unit of each toy is 0.5, 0.5, and 1.0 pounds, respectively. Also, each tank uses 0.3 pounds of metal and the truck uses 0.6 pounds of metal during production. The average weekly availability for plastic is 16,000 pounds, 9,000 pounds of metal, and 5,000 pounds of rubber. It takes two hours of labor to make one tank, two hours for one truck, and one hour for a turtle. The company allows no more than 40 hours a week for production (priority #1). Finally, the cost of manufacturing one tank is $7, 1 truck is $5 and 1 turtle is $4; a target budget of $164,000 is initially used as a guideline for the company to follow. Minimize over-utilization of the weekly available supply of materials used in making the toys and place twice as much emphasis on the plastic (priority #2) Minimize the under and…The Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle. Plastic used in one unit of each is 1.5, 2.0 and 1.0 pounds, respectively. Rubber for one unit of each toy is 0.5, 0.5, and 1.0 pounds, respectively. Also, each tank uses 0.3 pounds of metal and the truck uses 0.6 pounds of metal during production. The average weekly availability for plastic is 16,000 pounds, 9,000 pounds of metal, and 5,000 pounds of rubber. It takes two hours of labor to make one tank, two hours for one truck, and one hour for a turtle. The company allows no more than 40 hours a week for production (priority #1). Finally, the cost of manufacturing one tank is $7, 1 truck is $5 and 1 turtle is $4; a target budget of $164,000 is initially used as a guideline for the company to follow. a) Minimize over-utilization of the weekly available supply of materials used in making the toys and place twice as much emphasis on the plastic (priority #2) b) Minimize the under…The Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle. Plastic used in one unit of each is 1.5, 2.0 and 1.0 pounds, respectively. Rubber for one unit of each toy is 0.5, 0.5, and 1.0 pounds, respectively. Also, each tank uses 0.3 pounds of metal, and the truck uses 0.6 pounds of metal during production. The average weekly availability for plastic is 16,000 pounds, 9,000 pounds of metal, and 5,000 pounds of rubber. It takes two hours of labor to make one tank, two hours for one truck, and one hour for a turtle. The company allows no more than 40 hours a week for production (priority #1). Finally, the cost of manufacturing one tank is $7, 1 truck is $5 and 1 turtle is $4; a target budget of $164,000 is initially used as a guideline for the company to follow. a) Minimize over-utilization of the weekly available supply of materials used in making the toys and place twice as much emphasis on the plastic (priority #2) b) Minimize the…
- green vehicule 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 the paint shop are required. It takes 1/40 of a day and 1/60 of a paint a truck of type T1 and a car of type C1 in the paint shop, respectively. it takes 1/50 of a day to assemble either type of vehicule in the assembly shop. A t1 truck and a C1 car yield profits of $300 and $220, respectively, per vehicule soldA small scale industry manufactures electrical regulators, with a small group of semi-skilled workers both male and female. Due to limitations in space and finance, the number of workers employed cannot exceed 11 and their total salary cannot be more than Rs60, 000 per month. The male workers are paid Rs.6000 per month while the female workers are paid Rs. 5000 per month. It has been found that the male workers are swifter and since they are willing to work overtime, they contribute Rs.10, 000 per month as compared to Rs.8500 from their female counterparts. Apart from their salary, food coupons are provided: 6 coupons to per male employee and 5 coupons to per female employee. However, the total maximum amount of coupons that can be distributed are only 90. a) Formulate the model and find out how many male and female members should the company employ so as to maximize their contribution? b) If they make the female compensation equal to their male counterpart, should there be…Each robot takes up a square area of 10 feet aside. To the left and to the right of each robot along each side are areas for work-in-process inventory that are 6 feet wide x 10 feet long, with the long side adjacent to the robot space. Robots are arranged on an aisle that is 14 feet wide; the area in the plant for the robots is rectangular, 212 feet long, and includes 20 feet and each end for lift trucks. Lift trucks are used to move work–in–process inventory and must be able to get to the robots from aisles on both sides. Assuming that 20 robots are needed, determine the area for robots, inventory control, and material handling. The outgoing inventory pallets are 6 feet x 8 feet high, and they can be stacked thee high. Outgoing inventory is kept for a minimum of two days. In addition to access for lift trucks, determine the amount of storage space that must be provided for these pallets.
- The Deeper Furniture makes two products: table and chairs, which must be processed through the assembly and finishing departments. Assembly department is available for 60 hours and in every production period, while the finishing department is available for 48 hours of work. Manufacturing one (1) table requires 4 hours in the assembly and 2 hours in the finishing. Each chair requires 2 hours in the assembly and 4 hours in the finishing. One table contributes P180 to profit, while a chair contributes P100. The problem is to determine the number of tables and chairs to make per production period in order to maximize the profit. Determine the following: A. Define the objective function, formulate the constraints, and graph the system.B. Determine and write the feasible comer points and corresponding profit and the optimal solution. OWN SOLUTIONS FOR UPVOTE. DO NOT USE AI OR ELSE DOWNVOTE.Ms. Cover is the manager of a computer division in the federal government. Among her various responsibilities is the central data entry office, with 10 GS–4 data entry clerks and one GS–5 supervisor. The starting salary range for a GS–4 data entry clerk with limited skills is comparable to the starting salary in private industry. However, after about six months of on-the-job experience, most data entry clerks can get a substantial pay increase by taking a job in private industry. It has become common knowledge in industry that Ms. Cover has a very good training program for data entry clerks and that her division represents a good source of personnel. As a result of this reputation, Ms. Cover has experienced a heavy turnover during the last several months. In fact, the problem has recently become severe enough to create a tremendous work backlog in her division. In short, she has had to oversee so many trainees that the division’s overall productivity has declined. Within the data entry…Ms. Cover is the manager of a computer division in the federal government. Among her various responsibilities is the central data entry office, with 10 GS–4 data entry clerks and one GS–5 supervisor. The starting salary range for a GS–4 data entry clerk with limited skills is comparable to the starting salary in private industry. However, after about six months of on-the-job experience, most data entry clerks can get a substantial pay increase by taking a job in private industry. It has become common knowledge in industry that Ms. Cover has a very good training program for data entry clerks and that her division represents a good source of personnel. As a result of this reputation, Ms. Cover has experienced a heavy turnover during the last several months. In fact, the problem has recently become severe enough to create a tremendous work backlog in her division. In short, she has had to oversee so many trainees that the division’s overall productivity has declined. Within the data…