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		240	Finishing
	1 8 R	+	1 4 C		100	Packaging and shipping
	R,	C	0

The sensitivity report is shown below.

Variable Cells

Model Variable	Name	Final Value	Reduced Cost	Objective Coefficient	Allowable Increase	Allowable Decrease
R	Gloves Standard	320.000	0.000	5.000	7.000	1.000
C	Gloves Deluxe	240.000	0.000	8.000	2.000	4.667

Constraints

Constraint Number	Name	Final Value	Shadow Price	Constraint R.H. Side	Allowable Increase	Allowable Decrease
1	Cutting and Dyeing Hours Used	680.000	0.000	800.000	1E+30	120.000
2	Finishing Hours Used	240.000	3.000	240.000	160.000	106.667
3	Packaging and Shipping Hours Used	100.000	28.000	100.000	24.000	40.000

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

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?

$