Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 700 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table:

Production Time (hours)
Model	Cutting and Sewing	Finishing	Packaging and Shipping	Profit/Glove
Regular model	1	1/2	1/8	$7
Catcher`s model	10/3	1/3	1/5	$10

Letting

R= number of regular gloves

C= number of catcher's mitts

leads to the following formulation:

Max	7R+ 10C
s.t.
R+ 10/3C	700	Cutting and sewing
1/2R+ 1/3C	300	Finishing
1/8R+ 1/5C	100	Packaging and shipping
R,C 0

The sensitivity report is shown in figure below.

Optimal Objective Value =4400.00000
Variable	Value	Reduced Cost
R	575.00000	0.00000
C	37.50000	0.00000
Constraint	Slack/Surplus	Dual Value
1	0.00000	2.00000
2	0.00000	10.00000
3	20.62500	0.00000

Variable	Objective Coefficient	Allowable Increase	Allowable Decrease
R	7.00000	8.00000	4.00000
C	10.00000	13.33330	5.33330
Constraint	RHS Value	Allowable Increase	Allowable Decrease
1	700.00000	471.42800	100.00000
2	300.00000	50.00000	230.00000
3	100.00000	Infinite	20.62500

Determine the objective coefficients ranges. If there is no lower or upper limit, then enter the text "NA" as your answer. Round your answers to two decimal places.

Regular Glove

Catchers Mitt

Interpret the ranges in part (a.). As long as the profit per regular glove isbetween $3.00 and $15.00the optimal solution of575 regular and 37.5 catchergloves will not change. Or as long as the profit per catcher glove isbetween $4.67 and $23.33the optimal solution of575 regular and 37.5 catchergloves will not change. The assumption is thatonly one variable ischanged at a/the same time.

Interpret the right-hand-side ranges. If there is no lower or upper limit, then enter the text "NA" as your answer. Round your answers to two decimal places.

Cutting and Sewing

Finishing

Packaging

As long as the number of hours available for cutting and sewing (Constraint 1) arebetween 600.00 and 1171.43the change in the optimal value of the solution per unit increase in the right-hand side of the constraint is __________ . As long as the number of hours available for finishing (Constraint 2) arebetween 70.00 and 350.00the change in the optimal value of the solution per unit increase in the right-hand side of the constraint is ________ . As long as the number of hours available for packaging (Constraint 3) are79.38 or abovethe change in the optimal value of the solution per unit increase in the right-hand side of the constraint is _______ .

How much will the value of the optimal solution improve if 13 extra hours of packaging and shipping time are made available? If required, round your answer to three decimal places. Amount: $ ?????