A community playhouse needs to determine the lowest-cost production budget for an upcoming show. They have to determine which set pieces to construction and which to rent. The organization has only two weeks to construct the set. The theater has two carpenters who work up to 12 hours a week, each at $10 an hour. Additionally, the theater has a scenic artist who can work 15 hours per week to paint as needed at $16 per hour. The set needs 20 flats (walls), two hanging drops, and three wooden tables (props). The number of hours required for each piece for carpentry and painting is shown below. Flats, hanging drops, and props can also be rented at a cost of $75, $500, and $400 each, respectively. How many of each unit should be built by the theater and how many should be rented to minimize total cost? Click the icon to view the table of carpentry and painting hours. The optimal integer solutic which is $. (Type whole numbers.) Carpentry and Painting Hours Flats Hanging Drops Props Carpentry 0.5 3.0 2.0 Painting 2.0 13.0 3.0 D - X prop(s) and rent prop(s). This solution gives the cost,
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- 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 1/75 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 $275 and $225, respectively, per vehicle sold. The aim of the objective function for Green Vehicle Inc. should be to Maximize the objective value. The optimum solution is: Number of trucks to be produced per day = nothing (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 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
- The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Cindy Kramer, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Kramer estimates that the labor hours required for the next four quarters are 7,000, 12,500, 19,500, and 9,000, respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $6,000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $17 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $12 per hour. The cost of hiring a worker is $3,300, and the cost of laying off a worker is $1,400. Subcontracting is not permitted. (Hint: When calculating the number of workers, make sure to round up to…The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Cindy Kramer, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Kramer estimates that the labor hours required for the next four quarters are 6,000, 12,000, 19,500, and 9,000, respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $6,000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $18 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $12 per hour. The cost of hiring a worker is $4,000, and the cost of laying off a worker is $1,100. Subcontracting is not permitted. (Hint: When calculating the number of workers, make sure to round up to…The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Cindy Kramer, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Kramer estimates that the labor hours required for the next four quarters are 6,500, 12,000, 19,000, and 9,000, respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $6,000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $17 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $12 per hour. The cost of hiring a worker is $3,300, and the cost of laying off a worker is $1,800. Subcontracting is not permitted. (Hint: When calculating the number of workers, make sure to round up to…
- 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 soldBaking dog treats in her kitchen has been a simple process for Emma to manage. She has two ovens, one sink, a refrigerator, and enough room for two people to work at the same time. However, when Emma moves her business out of her home, she will have a commercial kitchen that can accommodate as many as six people working simultaneously. She had never thought of her business as “production” until the real estate agent who showed her the space asked how many production workers she needs to accommodate. At that point, Emma realized she would be running a production system. Even worse, she realized that she had never even visited a manufacturing facility or set foot on a real production floor. How will she ever manage this process?The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Cindy Kramer, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Kramer estimates that the labor hours required for the next four quarters are 6000, 12000, 19500, and 9000, respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $ 6000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $ 17 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $ 12 per hour. The cost of hiring a worker is $ 3800, and the cost of laying off a worker is $ 2000. Subcontracting is not permitted. (Hint: When calculating the number of workers, make sure to round up to…
- Can you check my work and tell me why I am not getting the answer $9100? Model Inc. has to transport 100 bags of Type Abags, 100 bags of Type B bags, and 100 bagsof Type C bags. They can hire Truck and Minivans. Each truck can carry 10 bags of Type Abags, 20 bags of Type B bags, and 10 bags ofType C bags. On the other hand, each minivancan carry 20 bags of Type A bags, 5 bags ofType B bags, and 10 bags of Type C bags. Eachtruck's rental cost is $1000, and eachminivan's rental cost is $850. There are only 5truck drivers available to drive the trucks(Hint:It means the number of trucks should be lessthan or equal to 5). If Model Inc wants tominimize the transportation cost, how manytrucks and vans should they rent? (PossibleAnswer: $9100) Data A B C COST TRUCK 10 20 10 $ 1,000.00 MINIVAN 20 5 10 $ 850.00 Model…The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Vijay Gupta, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Gupta estimates that the labor hours required for the next four quarters are 6,500 , 12,500 , 19,500 , and 10,000 , respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $ 6,000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $ 19 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $ 12 per hour. The cost of hiring a worker is $ 3,600 , and the cost of laying off a worker is $ 1,000. Subcontracting is not permitted. (Hint: When calculating the number of workers,…Lee Beedo, a hip bachelor in Edmond, has a date for Saturday night and finds himself without a thing to wear. Faced with the daunting task of doing enough laundry to fully accessorize during his night out, Lee has sorted his clothes into loads according to fabric and color. Based on his vast experience doing laundry, Lee knows how long each load will take in both the washer and the dryer. He glances at his watch; it is now 2:00 p.m. and he has to have the last load dry by 8:30 p.m. to be there in time. Help Lee develop a schedule that will enable him to make his date on time and depict that schedule using a Gantt chart. Can he make it and, if so, by how much?