Vollmer manufacturing produces three components for sale to refrigeration companies. Components are processed on two machines: shaper and grinder. Times (in minutes) required on each machine are as follows:
Component Machine
Shaper Grinder
1 6 4
2 4 5
3 4 2
Shaper is available for 120 hours, and grinder is available for 110 hours. No more than 200 units of component 3 can be sold, but up to 1000 units of each of other components can be sold. Actually, company already has orders for 600 units of component 1 which should be satisfied. Profit contributions for components 1, 2 and 3 are $8, $6, and $9 respectively.
a. Prepare and solve for suggested production qualities.
b. Write down the objective coefficient ranges for three components? Interpret these ranges for company management.