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Let the unit cost of input 2 vary from 100 to 300 in increments of 25. Which of the following is true about the resulting optimal solutions? Click here to reference the data needed to answer the question. a. The same inputs are used at positive levels throughout this range. O b. The optimal total cost increases through every step of this range. O c. At least one of the inputs is never used at a positive level anywhere within this range. O d. All of these choices are true.

Let the unit cost of input 2 vary from 100 to 300 in increments of 25. Which of the following is true about the resulting optimal solutions? Click here to reference the data needed to answer the question. a. The same inputs are used at positive levels throughout this range. O b. The optimal total cost increases through every step of this range. O c. At least one of the inputs is never used at a positive level anywhere within this range. O d. All of these choices are true.

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter13: Decision Making Under Uncertainty
Section13.2: Utility Theory
Problem 15P
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Let the unit cost of input 2 vary from 100 to 300 in increments of 25. Which of the following is true about the resulting optimal solutions? Click here to reference the data needed to answer the question. a. The same inputs are used at positive levels throughout this range. O b. The optimal total cost increases through every step of this range. C. At least one of the inputs is never used at a positive level anywhere within this range. d. All of these choices are true.
Transcribed Image Text:Let the unit cost of input 2 vary from 100 to 300 in increments of 25. Which of the following is true about the resulting optimal solutions? Click here to reference the data needed to answer the question. a. The same inputs are used at positive levels throughout this range. O b. The optimal total cost increases through every step of this range. C. At least one of the inputs is never used at a positive level anywhere within this range. d. All of these choices are true.
Generic cost mihimization model Unit costs of inputs Several products must be produced from the given inputs. The problem is to find the input levels that meet the requirements in rows 26 to 33 with minimum cost. All of the required formulas have been entered (correctly), Solver has been set up, and the solution shown here is optimal. Input 1 Input 4 Input 5 Input 2 184 Input 3 Input 6 Unit cost 236 355 264 410 257 Units of inputs required per unit of products Input 2 Input 1 Input 3 Input 4 Input 5 Input 6 Product 1 8 8. Product 2 2 7 1 7 Product 3 6. 8 8. 7 2 Product 4 1 4 1 Product 5 4 Product 6 2 5 1 Product 7 3 4 Product 8 2 6 8 1 Decisions: how many units of inputs to allocaten to production Input 1 Input 2 Input 3 Input 4 Input 5 Input 6 Used 151 174.5 129 89.6 62.5 <= <= <= Available 109 151 193 129 147 199 Products produced Produced Required Product 1 2061.3 >= 776 Product 2 1779.1 >= 866 Product 3 3632 785 Product 4 827 827 Product 5 964 964 Product 6 1505.8 >= 698 Product 7 703 >= 703 Product 8 1855.3 627 Total cost 176586
Transcribed Image Text:Generic cost mihimization model Unit costs of inputs Several products must be produced from the given inputs. The problem is to find the input levels that meet the requirements in rows 26 to 33 with minimum cost. All of the required formulas have been entered (correctly), Solver has been set up, and the solution shown here is optimal. Input 1 Input 4 Input 5 Input 2 184 Input 3 Input 6 Unit cost 236 355 264 410 257 Units of inputs required per unit of products Input 2 Input 1 Input 3 Input 4 Input 5 Input 6 Product 1 8 8. Product 2 2 7 1 7 Product 3 6. 8 8. 7 2 Product 4 1 4 1 Product 5 4 Product 6 2 5 1 Product 7 3 4 Product 8 2 6 8 1 Decisions: how many units of inputs to allocaten to production Input 1 Input 2 Input 3 Input 4 Input 5 Input 6 Used 151 174.5 129 89.6 62.5 <= <= <= Available 109 151 193 129 147 199 Products produced Produced Required Product 1 2061.3 >= 776 Product 2 1779.1 >= 866 Product 3 3632 785 Product 4 827 827 Product 5 964 964 Product 6 1505.8 >= 698 Product 7 703 >= 703 Product 8 1855.3 627 Total cost 176586
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