Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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- Valencia products makes automobile radar detectors and assembles two models. Laser stop and Speedbuster both models use the same electronic components after reviewing the components required and the profit for each model, the firm found the following linear optimization model for profit, where L is the number of LaserStop models produced and S is the number of Speedbuster models produced. Implement the linear optimization model on a spreadsheet and use. Solver to find an optimal solution. Interpret the optimal solution, identify the binding constraints and verify the values of the slack variables . Maximize profit = 123 L + 139 S 19 L + 11 S < 4,000 (availability of component A) 6 L + 9 S < 35000 (availability of component B) L > 0 and S > 0 The optimal solution is to produce how many Laser stop models ? And how many Speedbuster models ? The maximum possible profit is ? Component A is or is not a binding…arrow_forwardHow did you find the solutions in the table for the range of optimality for the profit coefficient?arrow_forwardAbc limited has a production capability of 2.4 million units but currently produces less than 1.3 million units. To reach 75% utilization level at which it is beak even point capacity needs to be reduced by 30%. The company plans to reduce capacity to 1.65 million units which is 82% utilization. The managers intends to close 5 factories which employs 16000 employees therefore cutting capacity by 30% which has a utilization of 80%. Come up with three quandratic equations from the above information.arrow_forward
- Valencia Products makes automobile radar detectors and assembles two models: LaserStop and SpeedBuster. Both models use the same electronic components. After reviewing the components required and the profit for each model, the firm found the following linear optimization model for profit, where L is the number of LaserStop models produced and S is the number of SpeedBuster models produced. Implement the linear optimization model on a spreadsheet and use Solver to find an optimal solution. Interpret the optimal solution, identify the binding constraints, and verify the values of the slack variables. Maximize Profit = 123 L+ 139 S 18 L 11 S≤ 3000 5 L+9 S≤2500 L≥ 0 and S≥ 0 (Availability of component A) (Availability of component B) Implement the linear optimization model and find an optimal solution. Interpret the optimal solution. The optimal solution is to produce LaserStop models and possible profit, SpeedBuster models. This solution gives the which is $ (Type integers or decimals…arrow_forwardConsider the following hypothetical scenario. ABC Computer Company has a ₹1.4 billion (Indian rupees) factory in Bangalore, India. During the current year, ABC builds ₹140 million worth of computer components. ABC’s costs for labour are ₹70 million; interest on debt, ₹7 million; and taxes, ₹14 million. ABC sells all its output to XYZ Supercomputer. Using ABC’s components, XYZ builds four super-computers at a cost of ₹56 million each (components worth ₹35 million, labour costs of ₹14 million, and ₹7 million in taxes per computer). XYZ has a ₹2.1 billion factory. XYZ sells three of the supercomputers for ₹70 million each. At year’s end, it had not sold the fourth. The unsold computer is carried on XYZ’s books as a ₹56 million increase in inventory. a. Calculate the contributions to GDP of these transactions, showing that all three approaches give the same answer. b. Repeat part a above, but now assume that, in addition to its other costs, ABC paid ₹35 million for…arrow_forwardoperations managementarrow_forward
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