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 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 1 600 correct: your answer is correct. units component 2 700 correct: your answer is correct. units component 3 200 correct: your answer is correct. 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 correct: your answer is correct. to correct: your answer is correct. units component 2 correct: your answer is correct. to correct: your answer is correct. units component 3 correct: your answer is correct. to correct: your answer is correct. 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. changed: your submitted answer was incorrect. your current answer has not been submitted. (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 correct: your answer is correct. to correct: your answer is correct. grinder availability correct: your answer is correct. to correct: your answer is correct. max units of component 3 correct: your answer is correct. to correct: your answer is correct. max units of component 1 correct: your answer is correct. to correct: your answer is correct. max units of component 2 correct: your answer is correct. to correct: your answer is correct. existing orders for component 1 correct: your answer is correct. to incorrect: your answer is incorrect. interpret these ranges for company management. these are the ranges over which the shadow prices for the associated constraints are applicable. these are the ranges over which the reduced costs for the associated constraints are not applicable. these are the ranges over which the reduced costs for the associated constraints are applicable. these are the ranges over which the shadow prices for the associated constraints are not applicable. correct: your answer is correct. (d) if more time could be made available on the grinder, how much would it be worth? every additional minute on the grinder increases profits by $3. nothing, since there are 300 minutes of slack time on the grinder at the optimal solution. every additional minute on the grinder increases profits by $1.50. every additional minute on the grinder decreases profits by $1. correct: your answer is correct.



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