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- Instructions: Solve using Excel Solver. Create the linear programming model and get the optimal solution to the problem. (Follow the steps and format in the photo below) 1. A company manufactures two products X1 and X2 on three machines A, B, and C. X1 requires 1 hour on machine A and 1hour on machine B and yields a revenue of Php 30. Product X2 requires 2 hours on machine A and 1 hour on machine B and 1 hour on machine C and yields revenue of PhP 50. In the coming planning period the available time of three machines A, B, and C are 2000 hours, 1500 hours and 600 hours respectively. Find the optimal product mix.A1A company produces three products A,B, and C. The products are processed through three machines as follows Standard | Standard Standard Annual Product Time on Time on Time on demand m /c 1 m/c 2 m/c 3 A 600 350 18 1000 12 10 1f there are 250 Working days per year and the company plans to work one seven hours shift per day, then compute the number of machines required. 2.
- A city would like to know how many vehicles it could move through its streets in an emergency. The most likely situation is an evacuation starting at the school and ending at the park. The connections between these two locations, plus their capacity and direction, is shown below. Oak Street F A Street School Park Elm Street 2nd Street E Path A В D E F Сaрacity 15 15 10 10 25 10 10 (Round your answer to the nearest whole number.) Maximum FlowExample 5: Find lim Solution // lim X-X x 2 + 2 = lim X-X (x+2) x→∞ √√x²+1) X-X x + 0 0 11 1+Problem 6-09 (Algorithmic) The Ace Manufacturing Company has orders for three similar products: Product Order (Units) A 1750 B 500 C 1100 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 as follows: Machine Capacity (Units) 1 1550 2 1450 3 1150 Product Machine A B C 1 $0.80 $1.30 $0.70 2 $1.40 $1.30 $1.50 3 $0.80 $0.80 $1.20 Use the transportation model to develop the minimum cost production schedule for the products and machines. Show the linear programming formulation. If the constant is "1" it must be entered in the box. If your answer is zero enter "0". The linear programming formulation and optimal solution are shown. Let xij = Units of…
- 3 35 The customers go to the company are at the rate of one arrival every 12 minutes. The time between arrivals follows an exponential distribution. Each customer gets the service with mean 8 minutes. There is just one person to serve. Company management wants to learn performance values for the service. Answer the following questions for the company. a. Determine the arrival frequency, service frequency and system utilization factor b. Determine the probability that no customer in the service c. Determine expected number of customers in system d. Determine expected number of customers in queue e. Determine expected waiting time in system f. Determine expected waiting time in queueA new surgical facility called Cut & Sew has opened in the United States. The branches of the facility are spread throughout the country. These are job shops that handle a variety of outpatient surgical procedures. The process of the facility is set up in a way that one doctor will cut and another will sew. The data regarding the patients and the estimated time for cutting and sewing for each patient are given in the following table: Patient A Cut Time (hours) 2.3 2.5 Sew Time (hours) 2.8 3.0 1.5 1.0 2.8 IB 2.0 0.6 3.8 If we apply the following sequence B-C-D-A-E, the makespan is place). Type your precise answer (one decimal Your Answer: Answer(Use output ranges of 2000, 4000, 6000, 8000 etc. and intervals of $50,000 on the Y axis. Output X Location A Location B Location B Location D 2 000 120 000 120 000 130 000 150 000 4 000 180 000 160 000 160 000 170 000 6 000 240 000 200 000 190 000 190 000 8 000 300 000 240 000 220 000 210 000 10 000 360,000 280 000 250 000 230 000 12 000 420 000 320 000 280 000 250 000 14 000 480,000 360 000 310,000 270 000 16 000 540 000 400 000 340 000 290 000 18 000 600 000 440 000 370 000 310 000 20 000 660 000 480 000 400 000 330 000 Over what range of output is location A the most preferred location? 2. Over what range of output is location B the most preferred location? 3.Over what range of output is location C the most preferred location?
- NOTE: The answer of this question should be limited to ONE page of writing with reasonable size of fonts. The provincial government plans to distribute certain types of vaccines to the 3 major urban centers of the province covering a large portion of the provincial population. The 5 million doses of vaccines are expected to arrive in large batches at one of the major cargo airports by 2 military transporter airplanes in a single day. The vaccines will then be distributed to the 3 cities with the number of doses corresponding to the population sizes of the 3 cities. They will be further distributed to the 20 hospitals and about 200 local clinics in these 3 cities. Officials of the provincial health agency must plan for the upcoming vaccine distribution. Assume that you are asked to suggest several methods/tools in Industrial Engineering and Operations Research you have learned from this course. Present 3 such methods and for EACH of these methods, briefly explain: 6.1) For solving which…Please asap solve accurate complete solutionsPrepare a master schedule based on the following information: Week 1 2 3 4 8. Forecast500 500 600 600 750750900800 Orders 540470325 200105 45 10 1. Currently there are 700 units in inventory. Policy calls for a fixed order quantity of 1250 units. 2. Can you receive another order for 250 items in week 1? Why? 3. How many orders can be received in each period without altering the plan. 4. If there are 1250 items in stock, what would be the answer of questions 2 and 3?