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Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: Machine Component Shaper Grinder 1 6 2 4 5 3 2 The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than 200 units of component 3 can be sold, but up to 900 units of each of the other components can be sold. In fact, the company already has orders for 600 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. (a) Formulate and solve for the recommended production quantities. component 1 600 component 20 component 3 200 units x units units (b) What are the objective coefficient ranges for the three components? (If there is no upper or lower limit, enter NO LIMIT. Round your answers to the nearest integer.) component 1 to units component 2 to units component 3 to units Interpret these ranges for company management. Changes in the profit coefficients within these ranges will not cause a change in the optimal number of components to produce. Changes in the profit coefficients outside these ranges will not cause a change in the optimal number of components to produce. Changes in the profit coefficients within these ranges will cause changes in the optimal number of components to produce. x (c) What are the right-hand-side ranges? (Use minutes for time. If there is no upper or lower limit, enter NO LIMIT. Round your answers to the nearest integer.) shaper availability grinder availability to to max units of component 3 to max units of component 1 to max units of component 2 existing orders for component 1 to

Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: Machine Component Shaper Grinder 1 6 2 4 5 3 2 The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than 200 units of component 3 can be sold, but up to 900 units of each of the other components can be sold. In fact, the company already has orders for 600 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. (a) Formulate and solve for the recommended production quantities. component 1 600 component 20 component 3 200 units x units units (b) What are the objective coefficient ranges for the three components? (If there is no upper or lower limit, enter NO LIMIT. Round your answers to the nearest integer.) component 1 to units component 2 to units component 3 to units Interpret these ranges for company management. Changes in the profit coefficients within these ranges will not cause a change in the optimal number of components to produce. Changes in the profit coefficients outside these ranges will not cause a change in the optimal number of components to produce. Changes in the profit coefficients within these ranges will cause changes in the optimal number of components to produce. x (c) What are the right-hand-side ranges? (Use minutes for time. If there is no upper or lower limit, enter NO LIMIT. Round your answers to the nearest integer.) shaper availability grinder availability to to max units of component 3 to max units of component 1 to max units of component 2 existing orders for component 1 to

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: Machine Grinder Component Shaper 1 6 4 2 4 5 3 4 2 The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than 200 units of component 3 can be sold, but up to 900 units of each of the other components can be sold. In fact, the company already has orders for 600 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. (a) Formulate and solve for the recommended production quantities. component 1 component 2 component 3 600 0 200 × units units units (b) What are the objective coefficient ranges for the three components? (If there is no upper or lower limit, enter NO LIMIT. Round your answers to the nearest integer.) component 1 to units component 2 to units component 3 to units Interpret these ranges for company management. Changes in the profit coefficients within these ranges will not cause a change in the optimal number of components to produce. O Changes in the profit coefficients outside these ranges will not cause a change in the optimal number of components to produce. O Changes in the profit coefficients within these ranges will cause changes in the optimal number of components to produce. × (c) What are the right-hand-side ranges? (Use minutes for time. If there is no upper or lower limit, enter NO LIMIT. Round your answers to the nearest integer.) shaper availability to grinder availability to max units of component 3 to max units of component 1 to max units of component 2 to existing orders for component 1 to
Transcribed Image Text:Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: Machine Grinder Component Shaper 1 6 4 2 4 5 3 4 2 The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than 200 units of component 3 can be sold, but up to 900 units of each of the other components can be sold. In fact, the company already has orders for 600 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. (a) Formulate and solve for the recommended production quantities. component 1 component 2 component 3 600 0 200 × units units units (b) What are the objective coefficient ranges for the three components? (If there is no upper or lower limit, enter NO LIMIT. Round your answers to the nearest integer.) component 1 to units component 2 to units component 3 to units Interpret these ranges for company management. Changes in the profit coefficients within these ranges will not cause a change in the optimal number of components to produce. O Changes in the profit coefficients outside these ranges will not cause a change in the optimal number of components to produce. O Changes in the profit coefficients within these ranges will cause changes in the optimal number of components to produce. × (c) What are the right-hand-side ranges? (Use minutes for time. If there is no upper or lower limit, enter NO LIMIT. Round your answers to the nearest integer.) shaper availability to grinder availability to max units of component 3 to max units of component 1 to max units of component 2 to existing orders for component 1 to
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