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: MachineComponentShaperGrinder175255352 The shaper is available for 125 hours, and the grinder is available for 95 hours. No more than 170 units of component 3 can be sold, but up to 1050 units of each of the other components can be sold. In fact, the company already has orders for 625 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. If more time could be made available on the grinder, how much would it be worth? If required, round your answers to two decimal places.$ _____ per minute, since the dual value is _____ on the grinder at the optimal solution. c. What are the right-hand-side ranges? If there is no lower or upper limit, then enter the text "NA" as your answer. If required, round your answers to the nearest whole number. If your answer is zero, enter "0".$Constraints lower limit12345Right-Hand-Side-Range67460 ✓5090 ✔0✓645 ✓427✓ΝΑ ✓upper limit8310 ✔5740✓183 ✓ΝΑ ✓NA ✔645 ✔Interpret the above ranges for company management.The right-hand-side ranges are the ranges over which the dual values✓ for the associated constraints are applicable.d. If more time could be made available on the grinder, how much would it be worth? If required, round your answers to two decimal places.3.60 X per minute, since the dual value is3.60 X on the grinder at the optimal solution. 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:Component123MaxShaper75s.t 7C15The shaper is available for 125 hours, and the grinder is available for 95 hours. No more than 170 units of component 3 can be sold, but up to 1050 units of each of the other components can be sold. In fact, the company already has orders for625 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. If the constant is "1" it must be entered in the box.8]v Ci]+Let C₁ = units of component 1 manufacturedC₂ = units of component 2 manufacturedC3 units of component 3 manufactured5 ✔ C₁+1 ✓ C₁1Machine✓ C1Grinder5562✓ C₂ +5✓ C₂+5 C₂ + 2C31 ✓ C₂C1,C2,C3 209 ✓ C35 ✓ C3 ≤≤1 ✔ C3 ≤<7,500 ✓ Constraint 15,700✔170 ✓Constraint 2Constraint 31,050 ✓Constraint 41,050 ✓Constraint 5625 ✔ Constraint 6

Max 8C1 + 6C2 + 9C3 subject to constraints 7C1 + 5C2 + 5C3 <= 7500 5C1 + 5C2 + 2C3 <=…

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 7 5 2 5 5 3 5 2 The shaper is available for 125 hours, and the grinder is available for 95 hours. No more than 170 units of component 3 can be sold, but up to 1050 units of each of the other components can be sold. In fact, the company already has orders for 625 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. If more time could be made available on the grinder, how much would it be worth? If required, round your answers to two decimal places.

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 7 5 2 5 5 3 5 2 The shaper is available for 125 hours, and the grinder is available for 95 hours. No more than 170 units of component 3 can be sold, but up to 1050 units of each of the other components can be sold. In fact, the company already has orders for 625 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. If more time could be made available on the grinder, how much would it be worth? If required, round your answers to two decimal places.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section9.5: Multistage Decision Problems

Problem 17P

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