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:

MachineComponentShaperGrinder164245342The shaper is available for 120 hours, and the grinder for 110 hours. No more than 200 units of component 3 can be sold, but up to 1,000 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.LetC1= units of component 1 manufacturedC2= units of component 2 manufacturedC3= units of component 3 manufacturedMaxC1+C2+C3s.t.C1+C2+C3- Select your answer -

=

Item 7

ShaperC1+C2+C3- Select your answer -

=

Item 12

GrinderC3- Select your answer -

=

Item 15

Maximum units of component 3C1- Select your answer -

=

Item 18

Maximum units of component 1C2- Select your answer -

=

Item 21

Maximum units of component 2C1- Select your answer -

=

Item 24

Minimum units of component 1C1,C2,C3- Select your answer -

=

Item 26

0Optimal solution:C1=,C2=,C3=(b)What are the objective coefficients ranges for the three components? If required, round your answers to two decimal places.VariableObjective Coefficient RangeC1- Select your answer -

No Lower Limit

7.33

5.46

6.00

Item 30

to- Select your answer -

No Upper Limit

9.00

8.56

9.50

Item 31

C2- Select your answer -

No Lower Limit

4.33

5.33

6.00

Item 32

to- Select your answer -

No Upper Limit

9.00

8.56

10.00

Item 33

C3- Select your answer -

No Lower Limit

5.00

5.50

6.00

Item 34

to- Select your answer -

No Upper Limit

10.00

9.50

9.00

Item 35

Interpret these ranges for company management.The input in the box below will not be graded, but may be reviewed and considered by your instructor.

(c)What are the right-hand-side ranges?ConstraintRight-Hand-Side Range1- Select your answer -

No Lower Limit

4300

4400

4500

Item 37

to- Select your answer -

No Upper Limit

7440

7500

7550

Item 38

2- Select your answer -

No Lower Limit

4330

5330

6300

Item 39

to- Select your answer -

No Upper Limit

8500

7200

6600

Item 40

Interpret these ranges for company management.The input in the box below will not be graded, but may be reviewed and considered by your instructor.

(d)If more time could be made available on the grinder, how much would it be worth?- Select your answer -

Profit of $1000

Profit of $200

Nothing

Item 42

Explain.The input in the box below will not be graded, but may be reviewed and considered by your instructor.

(e)If more units of component 3 can be sold by reducing the sales price by $4, should the company reduce the price?- Select your answer -

Yes

No

Item 44

Explain.The input in the box below will not be graded, but may be reviewed and considered by your instructor.