There are three sequential operations (Station 1, Satiation 2, and Station 3) in a process. Incoming applications go to station-1 first, then to Station-2, finally to station-3, and then leave the process. There are 3 resources in Station-1, 4 resources in Station-2, and 4 resources in Station-3. The processing time (Tp) at Station-1, Station-2, and Station-3 are 6, 6, 10 minutes, respectively. Compute the hourly capacity of this system. Enter your answer with ONE decimal point.
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- Explain the differences between Gaussian elimination and Gauss-Jordan elimination.2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1I want to explain these outputs from the SPSS program
- 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 0.30 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, 1 unit to be scrapped, and the remaining units that must be reprocessed. Calculate the scrap cost for the new process.A line of LRT with five (5) stations will be constructed in a city. A forecast passenger demand is given below: Depart Station Boarding Station 1 2 3 4 5 1 0 1600 10000 2000 250 2 230 0 11000 2071 230 3 60 1400 0 1500 170 4 250 1700 10400 0 250 5 300 1900 12000 2500 0 (a) Compute the number of passengers between each pair of the stations for both directions.(b) In this LRT project, headway must not be less than 120 seconds and must not be greater than 300 seconds. All stations are designed to cater a train of 6 couches. The capacity of each couch is 280 passengers. Based on the computed maximum passengers in (a), compute headway possibilities and corresponding number of couches per train. You may use rail utilisation factor of 0.75 and load factor of 0.9.MSA Computer Corporation manufactures two models of smartphones, the Alpha 4 and the Beta 5. The firm employs five technicians, working 160 hours each per month, on its assembly line. Management insists that full employment (i.e., all 160 hours of time) be maintained for each worker during next month’s operations. It requires 20 labor hours to assemble each Alpha 4 computer and 25 labor hours to assemble each Beta 5 model. MSA wants to see at least 10 Alpha 4s and at least 15 Beta 5s produced during the production period. Alpha 4s generate $1,200 profit per unit, and Beta 5s yield $1,800 each. Determine the most profitable number of each model of smartphone to produce during the coming month. Formulate as an LP problem. Solve using an LP software program or spreadsheet.
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- The production planning period for flat-screen moni-tors at Louisiana’s Roa Electronics, Inc., is 4 months. Cost data are as follows:Regular-time cost per monitor $ 70Overtime cost per monitor $110Subcontract cost per monitor $120Carrying cost per monitor per month $ 4 For each of the next 4 months, capacity and demand for flat-screen monitors are as follows: PERIOD MONTH 1 MONTH 2 MONTH 3 a MONTH 4Demand 2,000 2,500 1,500 2,100CapacityRegular time 1,500 1,600 750 1,600Overtime 400 400 200 400Subcontract 600 600 600 600aFactory closes for 2 weeks of vacation.CEO Mohan Roa expects to enter the planning period with 500monitors in stock. Back ordering is not permitted (meaning, forexample, that monitors produced in the second month cannot beused to cover first month’s demand). Develop a production planthat minimizes costs using the transportation method.MSA Computer Corporation manufactures two models of minicomputers, the Alpha 4 and the Beta 5. The firm employs five technicians, working 160 hours each per month, on its assembly line. Management insists that full employment (i.e., all 160 hours of time) be maintained for each worker during next month’s operations. It requires 20 labor hours to assemble each Alpha 4 computer and 25 labor hours to assemble each Beta 5 model. MSA wants to see at least 10 Alpha 4s and at least 15 Beta 5s produced during the production period. Alpha 4s generate $1,200 profit per unit, and Beta 5s yield $1,800 each. Determine the most profitable number of each model of minicomputer to produce during the coming month.Because of restrictions placed on individuals leaving their homes, many families are pre-ordering their meals for an entire month (30 days) from innovative providers and having them delivered at various intervals during the month (e.g., every 4 days). This one provider only provides dinners (which require some preparations by the family) and also requires families to select and prepay for the 30 meals per order. It offers seven different meals per month. The following table lists these seven meals along with a very brief description of each and its costs (per family member). Each meal is given a symbol which also serves as the symbol for its decision variable (e.g. C1: chicken with salad) representing how many meals of that type to order when formulating your model) Meal Description cost/family member C1 Chicken with salad $10 C2 Chicken with hot vegetables $11 R1 Red meat (beef or pork) with salad $12 R2 Red meat (beef or pork) with hot vegetables $13 F1 Fish/seafood…