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
Catcher`s model

Letting
	R = number of regular gloves
	C = number of catcher's mitts
leads to the following formulation:

	Max	7R + 10C
	s.t.
		R + C	700	Cutting and sewing
		R + C	300	Finishing
		R + C	100	Packaging and shipping
R, C 0

The sensitivity report is shown in figure below.

Optimal Objective Value = 4520.00000
		Variable		Value		Reduced Cost
		R		560.00000		0.00000
		C		60.00000		0.00000
		Constraint		Slack/Surplus		Dual Value
		1		0.00000		3.20000
		2		0.00000		7.60000
		3		18.00000		0.00000

		Variable		Objective Coefficient		Allowable Increase		Allowable Decrease
		R		7.00000		8.00000		2.71430
		C		10.00000		6.33330		5.33330
		Constraint		RHS Value		Allowable Increase		Allowable Decrease
		1		700.00000		257.14280		100.00000
		2		300.00000		50.00000		200.00000
		3		100.00000		Infinite		18.00000

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.

	Objective Coefficient Range
Variable	lower limit	upper limit
Regular Glove
Catchers Mitt

Interpret the ranges in part (a.). As long as the profit per regular glove is the optimal solution of gloves will not change. Or as long as the profit per catcher glove is the optimal solution of gloves will not change. The assumption is that only one variable is changed 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.

Constraint	Right-Hand-Side Range
	lower limit	upper limit
Cutting and Sewing
Finishing
Packaging

As long as the number of hours available for cutting and sewing (Constraint 1) are between 600.00 and 700.00 the 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) are the 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) are the 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 30 extra hours of packaging and shipping time are made available? If required, round your answer to three decimal places. Amount: $