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Concept explainers
a)
To determine: The profit of the firm.
Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.
b)
To draw: The graph for part (a) of solution.
Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.
c)
To determine: The cost that the firm would pay for each extra unit of wood.
Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.
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Chapter 3 Solutions
Practical Management Science, Loose-leaf Version
- The model in Example 9.3 has only two market outcomes, good and bad, and two corresponding predictions, good and bad. Modify the decision tree by allowing three outcomes and three predictions: good, fair, and bad. You can change the inputs to the model (monetary values and probabilities) in any reasonable way you like. Then you will also have to modify the Bayes rule calculations. You can decide whether it is easier to modify the existing tree or start from scratch with a new tree.arrow_forward1. Construct a 2-by2 contingency table to determine the total number of people who fail the screening test and will be referred for diagnostic testing in the hearing centers. 2. Construct a 2-by-2 contingency table to determine the total number of people who fail the diagnostic test, which represents the target market for hearing aid sales.arrow_forwardWhat does limited problem solving require?arrow_forward
- apply appropriate techniques to solve a range of models of mathematical and real-world problems analyse the effects of changing model parameters on LP model predictions * select and develop appropriate mathematical models for decision making problems (a) A stationary supplies company wishes to produce deluxe and budget ink pens. Deluxe ink pens require eight units of material and 9 minutes to produce each pen. Budget ink pens require six units of material and 4 minutes to produce each pen. The company has 38.25 hours of labour and 1950 units of material available per week. Profit for deluxe ink pens is $2.40 per pen and for budget ink pens is $1.75 per pen. The company also wants the number of deluxe ink pens to be produced to be at least 6 times the number of budget ink pens produced. Formulate a Linear Programming problem to determine the company's best production plan to maximise profit (do not solve). (b) Solve the following Linear Programming problem using the Simplex Method. Full…arrow_forwardWHAT WLL HAPPEN IF THERE IS A CHANGE IS ONE OF THE OBJECTIVE FUNCTION COEFFICIENT? A. SLOPE OF THE OBJECTIVE FUNCTION LINE ALWAYS WILL CHANGE B. OPTIMAL SOLUTION ALWAYS WILL CHANGE C. ONE OR MORE OF THE DECISION VARIABLES ALWAYS WILL CHANGE D. ALL OF THE ABOVE E. NONE OF THE ABOVEarrow_forwardFind the dual of the problem. Please use excel to solve the problem. Thank you!arrow_forward
- 48- The maximum number of sales that can occur in a given period to an individual or businesses that are willing to sell in a given market is known as: a. Product demand b. Market potential c. Market demand d. All the options are correctarrow_forwardCompany XYZ is specialized in producing and selling smart watches. The company currently has two products and is planning to improve it profits in the coming years. The company is thinking of introducing a sales commission to encourage its sales people to make more sales and improve company's profitability. When designing the sales commission the company should base the sales commission on: O a. None of the given answers O b. The selling price O c. The color of the product d. The contribution margin O e. The number of employees 14:02 W A a d0) ENG 15-04-2021 re to search hp prt sc end pg up delete home 40 96 & num 2$ backspace lock 3 6. 8. V. 8 A E R U home to 4 į 5 0 enter D G J K L. pause 1 shift 2 C end alt ctrl insarrow_forwardIdentify which type of analysis best fits each of the following descriptions. Requires the use of a computer Allows for probabilities to be assigned Includes the use of break-even analysis options; SCENARIO SENSITIVITY SIMULATIONarrow_forward
- To better plan for future growth of the restaurant, Karen needs to develop a system that will enable her to forecast food and beverage sales by month for up to one year in advance. Table shows the value of food and beverage sales ($1000s) for the first three years of operation. Food and Beverage Sales for the Vintage Restaurant ($1000s) Month First Year Second Year Third Year January 242 263 282 February 235 238 255 March 232 247 265 April 178 193 205 May 184 193 210 June 140 149 160 July 145 157 166 August 152 161 174 September 110 122 126 October 130 130 148 November 152 167 173 December 206 230 235 Managerial Report Perform an analysis of the sales data for the Vintage Restaurant. Prepare a report for Karen that summarizes your findings, forecasts, and recommendations. Include the following: A time series plot. Comment on the underlying pattern in the time series.…arrow_forwardWhich of the following statements about what-if analysis is TRUE? Multiple Choice Changes in an objective function coefficient will always lead to changes in decision variable values. Changes to constraint right-hand side values will always lead to changes in decision variable values. Changes in an objective function coefficient will never lead to changes in decision variable values. Changes to constraint right-hand side values will never lead to changes in decision variable values. None of the answer choices is correct.arrow_forwardCompany XYZ produces and sells two types of calculators: Basic and Scientific. The Basic has a lower selling price per unit compared to the Scientific. However, the Basic has a higher contribution margin compared to the Scientific. Due to fixed production capacity, the company has a cap on total production ability. If the company's CEO has decided to shift the sales mix towards producing more Basic calculators. What would be the effect on total profits? a. Cannot be determined using the above information b. Total profits would remain the same Total profits would increase O C. d. None of the given answers e. Total profits would decrease OO00arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
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