Q2: Solve the following transportation model by: a- North -West Corner Method. b- Vogel Approximation Method. And find the associated objective value (TC for each method). i D1 D2 D3 D4 Supply Si 6. 10 S1 180 3 9. 6 8. S2 70 4 11 S3 150 400 400 Demand 70 100 80 150 4-
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- The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.Long-Life Insurance has developed a linear model that it uses to determine the amount of term life insurance a family of four should have, based on the current age of the head of the household. The equation is:y = 850 − .1xwherey = Insurance needed ($000)x = Current age of head of household a. Plot the relationship on a graph. b. Use the equation to determine the amount of term life insurance to recommend for a family of four if the head of the household is 30 years old.10 Dr. Lillian Fok, a New Orleans psychologist, specializes in treating patients who are agoraphobic (i.e., afraid to leave their homes). The following table indicates how many patients Dr. Fokh each year for the past 10 years. It also indicates what the robbery rate was in New Orleans during the same year: ! 1 F1 A 1 option Year Number of Patients Robbery Rate per 1,000 Population The simple linear regression equation that shows the best relationship between the number of patients and the robbery rate is (round your responses to three decimal places): ŷ=0+0x N @ 2 W S X command A where y Number of Patients and x = Robbery Rate. In year 11, if the robbery rate increases to 133.40, using trend analysis, the number of patients Dr. Fok will see = patients (round your response to two decimal places). In year 11, if the robbery rate decreases to 90.6, using trend analysis, the number of patients Dr. Fok will see = patients (round your response to two decimal places). #3 80 F3 E D $ 4 C 888…
- Please show how to solve bA manager uses this equation to predict demand for landscaping services: Ft= 10 + 5t Over the past eight periods, demand has been as follows: Period, t: 1 Demand: 15 2 21 Period, t Tracking signal 1 2 3 4 5 6 7 8 3 23 30 5 32 6 38 42 Click here for the Excel Data File Compute the tracking signals for Periods 1-8. (Negative values should be indicated by a minus sign. Round your intermediate calculations and final answers to 3 decimal places.) 8 47City government has collected the following data on annual sales tax collections and new car registrations: Annual Sales Tax Collections (in millions) 1.0 1.4 1.9 2.0 1.8 2.1 2.3 2.5 New Car Registrations (in millions) 10 12 15 16 14 17 20 22 Determine the following: Plot these data and decide if a linear model is reasonable. Using the results of part a., find the estimated sales tax collections if new car registrations total 25,000,000.
- Q4) A rural country administration wants to locate several medical emergency response units so that it can respond to calls within the county within eight minutes of the call. The county is divided into seven population zones. The distance between the centers of each pair of zones is known and is given in the matrix below. The response units can be located in the center of population zones 1 through 7 at a cost (in hundreds of thousands of dollars) of 100, 80, 120 110, 90, 90, and 110 respectively. Assuming the average travel speed during an emergency to be 60 miles per hour, formulate an appropriate set covering model to determine where the units are to be located and how the population zones are to be covered.Please show solution and formula used. Assuming the total number of students studying in the top four universities in the Philippines is approximately 158,000. And the distribution is as follows: University of the Philippines (UP) - 40% of the total number Ateneo de Manila University (ADMU) - 23,700 De La Salle University (DLSU) - 25% of the total number University of Santo Tomas - 20% of the total number And only the following number of students owns a tablet computer: 20% of UP students 85% of ADMU students 90% of DLSU students 85% of UST students What is the total market penetration of tablet computers among the students of the top four universities? What is the total market size of tablet computers in the top four universities?Below is a table that shows the Freshmen Enrollment of the New Texas Elementary School during the 1a Semesters of the past ten (10) Academic Years (AY), AY 2013-2014 2014-2015 2015-2016 2016-02017 2017-2018 Freshmen Enrollees AY 200 220 235 270 315 4. For the Weighted Moving Averages model, use: a weight of 0.40 for the most recent data; a weight of 0.35 for the second most recent data; and a weight of 0.25 for the third most recent data. You are the Principal of New Texas Elementary School. You are interested to know the forecast of freshmen enrolment for the next academic year (AY2023-2024), in order to plan ahead the necessary resources: faculty, classroom, library holdings, physical facilities, student services, furniture and fixtures, etc.). These are the requirements: AT 2013-2014 1. Calculate the forecast using 5 forecasting techniques/methodologies/models namely: Naïve Model, Unweighted and Weighted Moving Averages, Exponential Smoothing, and Time-Series Regression. Follow and…
- A manager uses this equation to predict demand for landscaping services: Ft = 14 + 4t. Over the past eight periods, demand has been as follows: Period, t: 1 2 3 4 5 6 7 8 Demand: 20 25 25 35 35 40 45 50 Compute the tracking signals for Periods 1-8. (Negative values should be indicated by a minus sign. Round your intermediate calculations and final answers to 3 decimal places.) Period t Tracking Signal 1 2 3 4 5 6 7 8Long-Life Insurance has developed a linear model that it uses to determine the amount of term life Insurance a family of four should have, based on the current age of the head of the household. The equation is: y=150 -0.10x where y= Insurance needed ($000) x = Current age of head of household b. Use the equation to determine the amount of term life Insurance to recommend for a family of four of the head of the household is 40 years old. (Round your answer to 2 decimal places.) Amount of term life insurance thousandsQ2. Solve the given LP problem on the right by (LP): Max Z = 2X1 + 4X2 %3D using The Graphical Solution Method. a) Find the optimal solution, determine the solution type. b) Find the optimality range for the changes in the objective coefficient c2. c) Find the feasibility range for the changes in the Right Hand Side (RHS) of one st. 3X1 + 2X2 < 12 Xị + 2X2 s 8 2X1 + X2 2 2 X1, X2 2 0 of the binding constraints.