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 =. units

component 2=. units

component 3=. 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

(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 ______