Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. Letting

R = number of regular gloves

C = number of catcher's mitts

leads to the following formulation:

Max	5R	+	8C
s.t.
	R	+	3 2 C		800	Cutting and sewing
	1 2 R	+	1 3 C		280	Finishing
	1 8 R	+	1 4 C		100	Packaging and shipping
	R,	C	0

The computer solution is shown below.

Optimal Objective Value = 3640.00000

Variable	Value	Reduced Cost
R	440.00000	0.00000
C	180.00000	0.00000

Constraint	Slack/Surplus	Dual Value
1	90.00000	0.00000
2	0.00000	3.00000
3	0.00000	28.00000

Variable	Objective Coefficient	Allowable Increase	Allowable Decrease
R	5.00000	7.00000	1.00000
C	8.00000	2.00000	4.66667

Constraint	RHS Value	Allowable Increase	Allowable Decrease
1	800.00000	Infinite	90.00000
2	280.00000	120.00000	146.66667
3	100.00000	18.00000	30.00000

(a)

Determine the objective coefficient ranges. (Round your answers to two decimal places.)

regular glove

__________to__________

catcher's mitt

__________to__________

(b)

Interpret the ranges in part (a). (Round your answers to two decimal places.)

As long as the profit contribution for the regular glove is between $_________ and $________ , the current solution ---Select--- is is not optimal. As long as the profit contribution for the catcher's mitt is between $__________ and $____________ , the current solution ---Select--- is is not optimal.

(c)

Interpret the right-hand-side ranges.

The dual values for the resources are applicable over the following ranges. (Round your answers to two decimal places. If there is no upper or lower limit, enter NO LIMIT.)

cutting and sewing

________to________

finishing

________to_________

packaging and shipping

_________to__________

(d)

How much will the value of the optimal solution improve (in $) if 10 extra hours of packaging and shipping time are made available?

$_______________