Which optimization technique would help businesses to maximize their profits the most? Explain your answer.
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Q: Which optimization technique would help businesses to maximize their profits the most?
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- Which optimization technique would help businesses to maximize their profits the most? Explain your answer.
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- State in which decision environment is linear programming most suited .Formulate decision variable, objective function, and constraints only. Eastborne Realty has $2 million available for the purchase of new rental property. After an initial screening, Eastborne reduced the investment alternatives to townhouses and apartment buildings. Each townhouse can be purchased for $282,000, and five are available. Each apartment building can be purchased for $400,000, and the developer will construct as many buildings as Eastborne wants to purchase. Eastborne’s property manager can devote up to 140 hours per month to these new properties; each townhouse is expected to require 4 hours per month, and each apartment building is expected to require 40 hours per month. The annual cash flow, after deducting mortgage payments and operating expenses, is estimated to be $10,000 per townhouse and $15,000 per apartment building. Eastborne’s owner would like to determine the number of townhouses and the number of apartment buildings to purchase to maximize annual cash flow.Please define the decision variables, define the objection function & define the constraints
- 3 II | Here are the changes to the original problem and the revised conditions for this decision-making problem: With a favorable market, John Thompson thinks a large facility would result in a net profit of $195,000 to his firm. If the market is unfavorable, the construction of a large facility would result in $185,000 net loss. A small plant would result in a net profit of $110,000 in a favorable market, but a net loss of $25,000 would occur if the market was unfavorable. Doing nothing would result in $0 profit in either market conditions. a) Create a decision table, b) What is your recommendation if you would apply the Maximax criterion (Optimistic)? Follow the guidance from your textbook and create a table. c) What is your recommendation if you would apply the Maximin Criterion (Pessimistic)? Follow the guidance from your textbook and create a table. d) What is your recommendation if you would apply the Criterion of Realism (Hurwicz Criterion) with a coefficient of realism a =…GENERATE THE DECISION VARIABLE SOLUTION AND GENERATE AN ANSWER REPORT 3. The Wisham family lives on a farm in South Georgia on which it produces a variety of crops and livestock, including pecans. It has 5 acres of pecan trees that yield approximately 1,000 pounds of unshelled pecans per acre each year. The family uses all of its pecan harvest to produce pecan pies, cookies, 1-pound bags of shelled pecans, and 5-pound bags of unshelled pecans, which it sells in town at the local farmers' market. The family sells pies for $5, packages of a dozen cookies for $3, bags of shelled pecans for $7, and bags of unshelled pecans for $16. A shelled pecan is half the weight of an unshelled pecan. It requires 4 ounces of shelled pecans to make a pie, and 6 ounces of shelled pecans to make a dozen cookies. The pies and cookies are baked in the family oven, and there are 120 hours of baking time available. It takes 55 minutes to bake a batch of 4 pies and 15 minutes to bake a batch of 2 dozen…Lab 3 AP Austin Peay State University CLARKSVILLE TENNESSEE College of Business Decision Trees MGT 5055 Decision trees provide a graphical representation of decision alternatives, uncertain events, and their respective outcomes. They can be particularly useful for sequential decision problems. Learning material: Please watch this video Scenario: A farmer is deciding whether to plant Corn or Wheat in his field for the upcoming season. The yield and hence revenue from each crop will depend on the weather, which can either be Sunny or Rainy. Data: Revenues in USD (based on weather conditions): Crop Corn Wheat Weather Probabilities: • Sunny: 0.6 • Rainy: 0.4 Assignment Steps: 1. Draw the Decision Tree: Sunny Rainy 8,000 4,000 6,000 5,000 • Start with a decision node for the crop choice. • Branch out to the two potential weather outcomes for each crop choice. 2. Calculate Expected Monetary Values (EMVs): For each crop, use the provided probabilities and revenues to calculate the EMV. EMV =…
- A manufacturer has the capability to produce both chairs and tables. Both products use the same materials (wood, nails and paint) and both have a setup cost ($100 for chairs, $200 for tables). The firm earns a profit of $20 per chair and $65 per table and can sell as many of each as it can produce. The daily supply of wood, nails and paint is limited. To manage the decision-making process, an analyst has formulated the following linear programming model:Max 20x1 + 65x2 – 100y1 – 200y2s.t. 5x1 + 10x2 ≤ 100 {Constraint 1}20x1 + 50x2 ≤ 250 {Constraint 2}1x1 + 1.5x2 ≤ 10 {Constraint 3}My1 ≥ x1 {Constraint 4}My2 ≥ x2 {Constraint 5}yi={1, if product j is produced0, otherwiseyi=1, if product j is produced0, otherwiseWhich of the constraints limit the amount of raw materials that can be consumed? A. Constraint 1 B. Constraint 4 C. Constraint 5 D. Constraint 1 and 4 E. Constraint 1, 2 and 3Please answer it immediately sir Linear Programming The Booboo sawmill in Batangas produces pine and oak boards for manufacturing firms. Each month the sawmill must deliver atleast 5 tons of wood to the manufacturer . It takes the sawmill 3 days to produce a ton of pine and a 2 days to produce a ton of oak and the sawmill can allocate 18 days out of a month for this contract. The sawmill can get enough pine to make atleast 4 tons of wood and enough oak to make atmost 7 tons of wood. Determine the number of tons of pine and oak in order to minimize cost, given that pine has a cost of $3 and oak $6 to produceElaborate/ Explain Integer Linear Optimization and put examples
- Discuss the concept of constrained optimization tools of decision making.Decision making using analytics is viewed as Question 5 options: descriptive (use of data to summarize the present situation). All of these choices are correct. prescriptive (use of mathematical models to optimize decisions). predictive (use of data to predict what is likely to happen).Train an ID3 decision tree for a dataset shown in the following table. The table contains 2 categorical attributes (refund and marital status) and 1 continuous attribute (taxable income). Once you got the model then use it to classify the input X1 (No, Single, 95K) and X2 (Yes, Divorced, 120K) ID Marital Refund Тахable Cheat Status Income 1 Single Yes 125K No 2 Married No 100K No 3 Single No 70K No 4 Married Yes 120K No Divorced No 95K Yes Married No 60K No 7 Divorced Yes 220K No 8 Single No 85K Yes Married No 75K No 10 Single No 90K Yes 00