Find Solution using Voggel's Approximation method, also find optimal solution using modi method D1 D2 D3 D4 Supply si 19 30 50 10 7 S2 70 30 40 60 9 S3 40 8 70 20 | 18 Demand 5 8 7 14
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- Answer the following questions based on the following Sensitivity Report. Microsoft Excel Sensitivity Report Adjustable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$19 Acres to Plant Watermelons 60 256 28.5 66.33333333 $C$19 Acres to Plant Cantaloupes 40 284.5 99.5 28.5 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $F$11 Water Used per hour) 6,000 1 6000 1500 1000 $F$19 Acres Planted per hour) 100 199 100 20 20 1. How much can the price of watermelons drop before it isn't optimal to plant any watermelons? (round to 2 decimal places) 2. How much does the price of cantaloupes have to increase before it is optimal to only grow cantaloupes? (round to 2 decimal places)Andrew Thomas, a sandwich vendor at hard rock café annual rockfest, created a table of conditional values for the various alternatives (stocking decision) and state of nature (size of crowd) Alternatives Large stock average stock small stock probabilities associated with states of nature are Big Big 35000 20000 10500 0.3 State of nature (demand) Average Small 15000 10000 8000 Average 0.5 determine the alternative that gives Andrew the greatest expected monetary value (EMV) compute the extpected value of perfect information (EVPI). Small -3000 5000 3000 0.2Mop and Broom Manufacturing has tracked the number of units sold of their most popular mop over the past 24 months. This is shown. Month 1 2 3 4 5 6 7 8 Sales Month 238 249 254 267 277 282 402 296 9 10 11 12 13 14 15 16 Sales 300 327 346 349 353 364 373 363 Month + 17 18 19 20 21 22 23 24 Sales 361 381 375 383 384 401 409 403 a. Develop a linear trend line for the data. (Round your answers to 2 decimal places, e.g.,25.28.) Sales = (month) b. Compute a correlation coefficient for the data and evaluate the strength of the linear relationship. (Round your answer to 2 decimal places, the tolerance is +/-0.01.) Correlation coefficient is . It indicates linear relationship. (Use not rounded amounts to answer this question.) c. Using the linear trend line equation, develop a forecast for the next period,month 25. (Round your answer to 2 decimal places, the tolerance is +/-0.01. Do not round intermediate results used to achieve this answer.) Forecast for month 25 =
- A company possesses two manufacturing plants, each of which can produce three products, X, Y, and Z, from a common raw material. However, the proportion in which the products are produced differs in each plant, and so are plant's operating costs per hour. Data on production per hour and costs are given below, together with current orders in hand of each product. Products Operating cost per hour Y Plant A 4 9. Plant B 4 2 10 Orders on hand 50 24 60 Formulate the above as a linear programming problem. Find the number of production hours needed to fulfill the orders on hand at minimum cost using the using Big M method.4GE 10:01 A company has production costs of item and can produce 270 $15 per items for a total cost of $6,925. The company brings in a total of $3,995 in revenue from selling 85 of these items. Determine each of the following functions. Enter all answers below in slope-intercept form, using exact numbers. a. Find the company's linear revenue function. R(x) b. Find the company's linear profit function. P(x) Submit answerDemand is forecasted using the following regression equation: D = 100 + 15(t) where “t” is a specified future time period. The current time period is 0 (t=0). The machines used to make this product have a capacity of 50 units/time period. The company currently has 4 machines yielding a total capacity of 200 units/time period. Due to technology changes, the current equipment will become obsolete at the end of period 15. If a new machine costs $2000, and the net revenue earned per unit is $10, how many machines should be added between today (t=0) and the end of period 15?
- 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…To find the profit on the varying prices of a candy bar you will use: a. One variable Data Table b. Two variable Data Table c. Goal Seek d. None of theseQ: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40 a) Generate the Sensitivity Report in EXCEL for the model that you built. Interpret, in context, the Shadow Price for the Leather and the Satin constraints. Include units in your interpretations.
- A pharmaceutical company sells 78 different products. The distribution of annual sales amounts last year for these products is as follows. Number of Products 100 90 80 70 60 50 40 30 20 10 0 0 5,17 301 37 50 75,61 100 150 Annual Sales ($000) 200, 78 200 250 Approximately what percentage of the products had annual sales of less than $80,000 last year? OA. 62 O B. 79.5 OC. 38 O D. 20.5 OE. None of the aboveThe University of Miami bookstore stocks textbooks in preparation for sales each semester. It normally relies on departmental forecasts and preregistration records to determine how many copies of a text are needed. Preregistration shows 85 operations management students enrolled, but bookstore manager Vaidy Jayaraman has second thoughts, based on his intuition and some historical evidence. Vaidy believes that the distribution of sales may range from 65 to 85 units, according to the following probability model: Demand Probability 65 0.10 Stock 70 0.30 65 This textbook costs the bookstore $82 and sells for $112. Any unsold copies can be returned to the publisher, less a restocking fee and shipping, for a net refund of $30. a) Based on the given information, Vaidy's conditional profits table for the bookstore is: 65 p=0.10 75 0.20 70 p=0.30 80 0.10 Demand 75 p=0.20 80 p = 0.10 85 p=0.30 85 0.30Dave F letcher, the general manager of NorthCarolina Engineering Corporation (NCEC), thinks that his firm'sengineering services contracted to highway construction firms aredirectly rela ted to the volume of highway construction businesscontracted with companies in his geographic area. He wondersif thjs is really so, and if it is, can this information help him planhjs operations better by forecasting the quantity of his engineeringservices required by construction firms in each quarter of theyear? The following table presents the sales of his services andtotal amounts of contracts for hjghway construction over the pasteight quarters:…