choose only the correct answer pls Consider the LP model below to answer question no.26-30Max z = 3x₁ + 5x2subject tox14 constraint 12x212 constraint 23x12x2 18 constraint 3X1, X20Page 326. What is the feasibility range for constraint 1?A. [3,00) B. [6, 18] C. [12,24] D. [4,00)27. What is the feasibility range for constraint 2?A. [3,00) B. [12,24] C. [4, ∞) D. [6, 18]28. What is the feasibility range for constraint 3?A. [2, ∞) B. [6, 18] C. [12,24] D. [4,00)29. What is the associated optimality range for the coefficient of x₁ that will keep the optimum un-changed?A. [2,00)A. [2, ∞) B. [0, ∞) C. [2,3] D. [0,1]30. What is the associated optimality range for the coefficient of x2 that will keep the optimum un-changed?B. [0, ∞) C. [2,3] D. [0,1]

Linear programming is one of the mathematical techniques that is widely used by companies. This…

Answered: 26. What is the feasibility range for…

Practical Management Science

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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 =…
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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.
Problem 4-11 (Algorithmic) Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers have limited capacity, and no one supplier can meet all the company’s needs. In addition, the suppliers charge different prices for the components. Component price data (in price per unit) are as follows: Supplier Component 1 2 3 1 $11 $12 $13 2 $9 $10 $9 Each supplier has a limited capacity in terms of the total number of components it can supply. However, as long as Edwards provides sufficient advance orders, each supplier can devote its capacity to component 1, component 2, or any combination of the two components, if the total number of units ordered is within its capacity. Supplier capacities are as follows: Supplier 1 2 3 Capacity 500 900 700 If the Edwards production plan for the next period includes 900 units of component 1 and 700 units of component 2, what purchases do you recommend? That is, how many units of each…

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