employee works an average of 150 hours per month. Employees are paid at $12 per hour, the materials cost is $60 per trampoline, and overhead cost is $3,500. What is the multifactor productivity ratio for Buckeye Trampoline Shop? (Enter your response rounded to one decimal place.)
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- For a particular process, originally each 200 units of product manufactured yielded 180 conforming units, 9 units that must be scrapped, and the remaining units that must be reprocessed. Each scrapped unit results in a $30 loss and each reprocessed unit requires an extra 0.45 hours of processing time. The resource time of producing the original 200 units is 30 hours. As a result of a quality improvement program that was recently introduced, for each 200 units manufactured, the process now yields 190 conforming units, 4 unit to be scrapped, and the remaining units that must be reprocessed. Calculate the productivity (in units per hour) for the original process.Duluth Electronics makes two types of scooters: Falcon and Hawk. The Falcon model has a lighter engine and a smaller frame to make novice riders easier to balance. The Hawk is a little bigger and uses a heavier engine. Falcon requires 6 hours of manufacturing time and Hawk takes only 3 hours. Duluth's main plant in Kentucky has 2,100 hours of engine manufacturing time available. Duluth's vendors have the ability to supply as many Falcon frames as needed, but they only provide 280 Hawk frames. Falcon requires 2 hours of testing and 2.5 hours for Hawk. There are only 1,000 hours available for testing. The finance department estimates that the Falcon model contributes a profit of $2,400 and the Hawk $1,800. Determine the optimal solution for this problem. Recommend what you think is a good strategy for Duluth, given your computations. Type your final answers in the space provided and show your graph in the solutions file (no need for hand-drawn graphs, but the feasible region should be…What is an example of a learning objective for a lesson on Integrating Writing in Math in a first-grade classroom? The learning objective should include the following required components: behavior, condition, and measurable criterion that aligns with both of the below standards. Math Standard Solve real-world problems involving addition and subtraction within 20 in situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all parts of the addition or subtraction problem (e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem). Writing Standard Produce (when writing or speaking) a topic sentence or main idea, provide some facts or details about the topic, and provide a concluding statement.
- A department works one 8-hour shift, 250 days a year, and has these figures for usage of amachine that is currently being considered:ProductAnnualDemandStandard ProcessingTime per Unit (hr)Processing TimeNeeded (hr)1 400 5.0 2,0002 300 8.0 2,4003 700 2.0 1,4005,800Units of capacity needed = Processing time needed ___________________________ Processing time capacity per unit (5–3)Working one 8-hour shift 250 days a year provides an annual capacity of 8 × 250 =2,000 hours per year. Consequently, three of these machines would be needed to handle therequired volume:5,800 hours __________________ 2,000What are the controllable inputs from this example? What are the uncontrollable inputs from this example? Shelby Shelving is a small company that manufactures two types of shelves for grocery stores. Model S is the standard model and model LX is a heavy-duty version. Shelves are manufactured in three major steps: stamping, forming, and assembly. In the stamping stage, a large machine is used to stamp standard sheets of metal into appropriate sizes. In the forming stage, another machine bends the metal into shape. Assembly involves joining the parts with a combination of soldering and riveting. Since different amount of solder and rivets are used for assembly, they have different workstations. Model S shelves are sold for $350 and model LX shelves are sold for $405. Shelby’s operation is fairly small in the industry, and management believes it cannot raise prices beyond these levels because of the competition. However, the marketing department believes that Shelby can sell as much as…An entrepreneur is starting up a new bakery featuring a special pastry from an old family recipe. The basic dough recipe requires 5cups of flour, which is 0.75kg, plus another 0.75kg consisting of all the other ingredients, sugar, butter, milk, yeast, fruits, nuts and spices, to make the dough for 15 medium pastries. She runs some tests to scale up her recipe. In her first test batch she creates dough for 300 pastries, how much flour, in kg, was required?
- A hotel has 200 rooms and 2 fares: low fare, which is $250 per night’s stay, and high fare, which is $350 per night’s stay. The low fare is for leisure travelers who will book first, and the high fare is for business travelers who will book after all leisure travelers have made their booking. Suppose that there are a sufficiently large number of leisure travelers, which means that every room except rooms kept for business travelers will be booked by leisure travelers. If a low-fare room is booked, the hotel will spend $14 in hiring a part-time employee to clean the room ($14/room); if a high-fare room is booked, the hotel will spend $25 in hiring a part-time employee to clean the room thoroughly ($25/room). For both types of rooms, if they are booked, the hotel has to pay $10/room for the consumption of electricity and water. The number of business travelers who want to book a room is discrete uniformly distributed over 41, 42, …, 50. Please find out the optimal protection level for…An electronics firm produces two models of pocket calculators: the A-100 (A), which is an inexpensive four-function calculator, and the B-200 (B), which also features square root and percent functions. Each model uses one (the same) circuit board, of which there are only 2,500 available for this week's production. Also, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators, of which the A-100 requires 15 minutes (.25 hours) each, and the B-200 requires 30 minutes (.5 hours) each to produce. The firm forecasts that it could sell a maximum of 4,000 A- 100's this week and a maximum of 1,000 B-200's. Profits for the A-100 are $1.00 each, and profits for the B-200 are $4.00 each. What is the objective function? What is the assembly time constraint (in hours)? Which of the following is not a feasible production/sales combination? What are optimal weekly profits?Hilliard Electronics produces specially coded computer chips for laser surgery in 64MB, 256MB, and 512MB sizes. (1MB means that the chip holds 1 million bytes of information.) To produce a 64MB chip requires 8 hours of labor, a 256MB chip takes 13 hours, and a 512MB chip requires 16 hours. Hilliard’s monthly production capacity is 1,200 hours. Mr. Blank, the firm’s sales manager, estimates that the maximum monthly sales of the 64MB, 256MB, and 512MB chips are 40, 50, and 60, respectively. The company has the following goals (ranked in order from most important to least important): 1. Fill an order from the best customer for thirty 64MB chips and thirty-five 256MB chips. 2. Provide sufficient chips to at least equal the sales estimates set by Mr. Blank. 3. Avoid underutilization of the production capacity. Formulate this problem using goal programming
- Shelby Shelving is a small company that manufactures two types of shelves for grocery stores. Model S is the standard model; model LX is a heavy-duty version. Shelves are manufactured in three major steps: stamping, forming, and assembly. In the stamping stage, a large machine is used to stamp (i.e., cut) standard sheets of metal into appropriate sizes. In the forming stage, another machine bends the metal into shape. Assembly involves joining the parts with a combination of soldering and riveting. Shelby’s stamping and forming machines work on both models of shelves. Separate assembly departments are used for the final stage of production. The file C03_01.xlsx contains relevant data for Shelby. (See Figure 3.38.) The hours required on each machine for each unit of product are shown in the range B5:C6 of the Accounting Data sheet. For example, the production of one model S shelf requires 0.25 hour on the forming machine. Both the stamping and forming machines can operate for 800 hours…A company wants to produce 480 units over the next three months at a uniform rate. The months have 19, 20, and 21 working days, respectively. On the average, how much should the company produce each day to level production?You are thinking of making your home more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs and insulating part or all of your exterior walls. Each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† Your home has 50 light fittings and 1,500 square feet of uninsulated exterior wall. You can spend no more than $1,600 and would like to save as much per year in energy costs as possible. How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? (If an answer does not exist, enter DNE.) compact fluorescent light bulbs bulbsinsulation sq ft How much will you save in energy costs per year? $