In Myanmar, six laborers, each making the equivalent of $3.00 per day, can produce 40 units per day. In China, eleven laborers, each making the equivalent of $2.25 per day, can produce 45 units. In Billings, Montana, three laborers, each making $57.00 per day, can make 105 units. Based on labor cost per unit only, the most economical location to produce the item is Billings, Montana China with a labor cost per unit of $ Myanmar (Enter your response rounded to two decimal places.)
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- Four products are processed sequentially on three machines. The following table gives the pertinent data of the problem. Manufacturing time (hr) per unit Machine Cost of hr Product 1 Product 2 Product 3 Product 4 Capacity ($) 10 (hr) 1 2 3 4 500 2 3 2 2 380 3 4 7 3 1 450 Unit Selling Price ($) 75 70 55 45 Formulate the problem and find the optimum solution. After solving the problem, please generating Sensitivity Report. What should happen, if the capacity of Machine 1 is increased to 550 hours? A None of above B The profit is increased by $165 The profit is increased by $375 D The profit remains sameBarry’s Brakes is looking to hire workers to assemble the brake assemblies it produces. Barry has estimated total output of these workers can produce, see the table below. Barry will sell each brake assembly for $200 but the parts cost $160 for each assembly. Number of Workers Total Output (per day) 1 15 2 28 3 38 4 43 The hourly wage for factory workers is $275 per day. How many workers should the factory manager hire ?Express Logistics provides delivery service seven days a week. The daily requirements (in workers) are estimated as follows: Day M T Requirement 5 4 W 7 ΤΗ 3 F 6 S 3 SU 3 Each employee works five days a week and must have two consecutive days off, according to the contract. a. What is the minimum number of employees required? (If there is a tie in the selection of off days, S and SU days are given a preference). b. What is the worker schedule? You should show the schedule for each employee (stating their start day and the off days clearly).
- Consider a model in which two products, x and y, are produced. There are 100 pounds of material and 80 hours of labor available. It requires 2 pounds of material and 1 hour of labor to produce a unit of x, and 4 pounds of material and 5 hours of labor to produce a unit of y. The profit for x is Php150 per unit, and the profit for y is Php250 per unit. (round off your answer to the nearest unit) a. Construct a linear programming model b. How many x and y will be produced to achieve the maximum profit. c. How much is the maximum profit in the problem.Wallace Heating is attempting to estimate its costs of manufacturing heating ducts for the comingyear using the high-low method. The cost driver is number of labor hours. Wallace determines thatthe high and low costs are $25,830 and $18,414, respectively, and the values for the cost driver are3,495 and 1,958 hours, respectively. What is the variable cost per hour?Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows. s.t. Department Product 1 A B с 1.50 Max 2.00 0.25 Product 2 Product 3 3.00 1.00 0.25 Department A 1.5P₁+3P₂ +2P3 ≤ 450 Department B2P₁ + 1P₂ +2.5P3 ≤ 350 Department c 0.25P₁ +0.25P₂ +0.25P3 ≤ 50 P1 P₂ P3 20 2.00 During the next production period, the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $25 for product 1, $27 for product 2, and $29 for product 3. (a) Formulate a linear programming model for maximizing total profit contribution. (Let P; = units of product produced, for i = 1, 2, 3.) Max 25P₁ +27P2+29P3 2.50 0.25 (b) Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution (in dollars)? (P₁, P₂, P3) = 60,80,60 with profit $ 5400…
- Use the following information for the next 2 problems: A warehouse is to be built that will support three factories. The (x,y) location of each factory, annual volume and transportation rate from each factory is given below. Use a map scaling factor of K=500 miles. Factory Xi Yi Vi: Annual Volume (cwt) Ri: Rate ($/cwt per mile) ViRi ViRiXi ViRiYi 1 1.6 6.3 4,000 0.02 2 7.2 4.0 10,000 0.04 3 2.0 3.0 3,000 0.05 Totals: 1.Using the COG method, what is the optimal (x,y) location of a single warehouse? - (5.25,4.05) - (3.25, 4.05) - (4.5, 3.65) - (4.5, 5.15) - (5.25, 5.15) - (3.25, 3.65) 2.If the warehouse is located at an (x, y) of (8, 3), what would be the total transportation cost? - $994,153 - $874,153 - $844,153 - $904,153 - $964,153 - $934,153 3.According to Weber’s classification of industries. A weight-losing production process…The Ace Manufacturing Company has orders for three similar products. Orders Product (units) Min A s.t. B с 1 2 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. Machine 3 A A B B c с 1 Product 2 3 Machine 2 Capacity 2,000 Machine 1 Capacity 600 1,300 Machine 3 Capacity Product A Orders Capacity (units) Product B Orders 1,700 1,600 1,000 1 $1.00 $1.30 $1.10 Use the transportation model to develop the minimum cost production schedule for the products and machines. (a) Show the linear programming formulation. (Let XA₁ be the number of units of product A produced by machine 1, X;; be the number of units of product i produced by machine j, etc.) Machine $1.20 $1.40 $1.00 2 $0.90 $1.20 $1.20…A line of furniture is made by the Drazal Company in South Carolina and is being considered for outsourcing to China. The unit manufacturing costs in the U.S. are:Unit Cost of Goods SoldDirect labor 53Materials 122Overhead 49Total 224When produced in China, direct labor will be 60 percent of the U.S. cost and overhead will also be 60 percent of the U.S. cost, since it consists mostly of salaries. Materialscosts will be 10 percent lower in China. Transporting the furniture from China will cost $27,000 for seven containersto transport the annual supply of 500 units from the factory in China to the Drazal warehouse in the U.S. by rail, truck, and sea. To ensure quality, it will cost $12,000 per year to mmonitor the supplier and inspect the units in China before they are sent. The cost of administering the contract is $5,000 per year.a. What are the total costs of supplying this product from China?b. What risks are associated with the Chinese supplier?c. Should the product be outsourced to…
- Bob Carlton’s golf camp estimates the following staff requirements for its services over the next 2 years.Quarter 1 2 3 4Demand (hours) 4,200 6,400 3,000 4,800Quarter 5 6 7 8Demand (hours) 4,400 6,240 3,600 4,800Each certified instructor puts in 480 hours per quarter regular time and can work an additional 120 hours overtime. Regular-time wages and benefits cost Carlton $7,200 per employee per quarter for regular time worked up to 480 hours, with an overtime cost of $20 per hour. Unused regular time for certified instructors is paid at $15 per hour. There is nocost for unused overtime capacity. The cost of hiring, training, and certifying a new employee is $10,000. Layoff costs are $4,000 per employee. Currently, eight employees work in this capacity.a. Find a staffing plan using the level…Broha Company manufactured 2,200 units of its only product during 2019. The inputs for this production are as follows: 520 pounds of Material A at a cost of $2.20 per pound 370 pounds of Material H at a cost of $3.45 per pound 580 direct labor hours at $48 per hour The firm manufactured 2,534 units of the same product in 2018 with the following inputs: 700 pounds of Material A at a cost of $1.20 per pound 560 pounds of Material H at a cost of $2.50 per pound 600 direct labor hours at $58 per hour In 2018, the partial financial productivity of Material H is: (Round all calculations to 2 significant digits.) Multiple Choice 0.18. 4.53. 1.81. 0.45. 5.43.Broha Company manufactured 1,500 units of its only product during 2019. The inputs for this production are as follows: 450 pounds of Material A at a cost of $150 per pound 300 pounds of Material H at a cost of $2.75 per pound 300 direct labor hours at $20 per hour The firm manufactured 1,800 units of the same product in 2018 with the following inputs 500 pounds of Material A at a cost of $1.20 per pound 360 pounds of Material H ata cost of $2.50 per pound 400 direct labor hours at $18 per hour Round all calculations to 2 significant digits. In 2019, the partial direct labor operational productivity is.