Concept explainers
a)
To determine: The impact of adding an extra constraint to the feasible area of a solved linear programming problem.
Introduction:
Linear programming:
It is a linear optimization technique followed to develop the best outcome for the problem in hand. The outcome might be of maximum profit or less cost which is represented by a linear relationship. The outcome will take into consideration the constraints present in achieving the solution.
Constraints:
The constraints are the limitation for a situation within which the process must operate. The constraints are the limits within which the available resources can be utilized that will help to maximize or minimize an amount.
Feasible region:
A feasible region is a solution space which contains all the possible points of an optimization problem. The region will be formed after satisfying the constraints in the problem which includes inequalities, integer constraints and inequalities. It is the area that is bounded by the constraints of the problem.
b)
To determine: The impact of adding an extra constraint to the optimal value of the objective function of a solved linear programming problem.
Introduction:
Linear programming:
It is a linear optimization technique followed to develop the best outcome for the problem in hand. The outcome might be of maximum profit or less cost which is represented by a linear relationship. The outcome will take into consideration the constraints present in achieving the solution.
Constraints:
The constraints are the limitation for a situation within which the process must operate. The constraints are the limits within which the available resources can be utilized that will help to maximize or minimize a quantity.
Feasible region:
A feasible region is a solution space which contains all the possible points of an optimization problem. The region will be formed after satisfying the constraints in the problem which includes inequalities, integer constraints and inequalities. It is the area that is bounded by the constraints of the problem.
Want to see the full answer?
Check out a sample textbook solution
Chapter B Solutions
Operations Management: Sustainability and Supply Chain Management (12th Edition)
- At Quick Car Wash, the wash process is advertised to take less than 6 minutes. Consequently, management has set a target average of 330 seconds for the wash process. Suppose the average range for a sample of 7 cars is 10 seconds. Use the accompanying table to establish control limits for sample means and ranges for the car wash process. Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. The UCLR equals seconds and the LCLR equals seconds. (Enter your responses rounded to two decimal places.)arrow_forwardIf Jeremy who is the VP for the operations, proceeds with their existing prototype (which is option a), the firm can then expect sales to be 120,000 units at $550 each. And with a probability of 0.52 and a 0.48 probability of 65,000 at $550. we However, he uses his value analysis team (option b), the firm expects sales of 75,000 units at $770, with a probability of 0.78 and a 0.22 probability of 65,000 units at $770. Value engineering, at a cost of $100,000, is only used in option b. Which option for this has the highest expected monetary value (EMV)? The EMV for option a is $? The EMV for option b is $? Which has the highest expected monetary value. A or B?arrow_forwardPart 1 of 2 Jim's Outfitters, Inc., makes custom western shirts. The shirts could be flawed in various ways, including flaws in the weave or color of the fabric, loose buttons or decorations, wrong dimensions, and uneven stitches. Jim randomly examined 10 shirts, with the following results shown to the right. Shirt Defects 1 7 2 1 4 13 3 10 2 8 5 9 10 8 7 a. Assuming that 10 observations are adequate for these purposes, determine the three-sigma control limits for defects per shirt. The UCLC equals and the LCL equals (Enter your responses rounded to two decimal places. If your answer for LCL is negative, enter this value as 0.)arrow_forward
- Management at Webster Chemical Company is concerned as to whether caulking tubes are being properly capped. If a significant proportion of the tubes are not being sealed, Webster is placing its customers in a messy situation. Tubes are packaged in large boxes of 144. Several boxes are inspected, and the following numbers of leaking tubes are found: Sample Tubes Sample Tubes Sample Tubes 1 7 8 7 15 7 2 7 9 8 16 9 3 6 10 7 17 3 4 4 11 1 18 7 5 8 12 8 19 7 6 7 2 9 13 14 1 20 6 7 Total 121 Calculate p-chart three-sigma control limits to assess whether the capping process is in statistical control. The UCLp equals and the LCLp equals (Enter your responses rounded to three decimal places. If your answer for LCLp is negative, enter this value as 0.)arrow_forwardAspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottle neck, a critical quality dimension that determines whether the bottle cap will fit properly. The dimensions (in.) from the last six samples are Bottle Sample 1 2 3 4 1 0.624 0.586 0.602 0.591 2 0.613 0.599 0.578 0.618 3 0.606 0.585 0.587 0.623 4 0.581 0.623 0.571 0.610 5 0.609 0.610 0.623 0.617 6 0.605 0.573 0.570 0.602 Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. Suppose that the specification for the bottle neck diameter is 0.600 ± 0.050 in. and the population standard deviation is 0.014 in. a. What is the process capability index? The Cpk is (Enter your response rounded to two decimal places.)arrow_forwardHow would you handle the Apple 'batterygate' scandal as an operations manager? What quality measures would you take to fix the problem and prevent it from happening again? When would you implement these measures and communicate with the stakeholders?arrow_forward
- Perosnal Thoughts about the articlearrow_forwardRevenue retrieval for Brew Mini= $ round response to two decimal places What would be the best design alternative? Brew master or brew miniarrow_forwardThe revenue retrieval for PG Glass design is ?. Enter response as a whole number). The revenue retrieval for Glass Unlimited design is ? (enter your response as a whole number). What is The best design alternative? Glass unlimited or PG Glass?arrow_forward
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,