Reference no: EM132853772

Linear Programming

Problem 1:

LinPro Co. makes 2 products. X and Y

	X	Y
Selling Price	15	20
Variable Costs	10	12
	-	-
Contribution Margin	5	8

LinPro has 120 Labour Hours available. LinPro has 100 Machine Hours available

Product X requires 2 Labour Hours and 1 Machine Hour. Product Y requires 1 Labour Hour and 3 Machine Hours.

Required:
What is the optimum amount to make of each product to maximize profit?

Problem 2:

Zanbrow Co. makes 2 products. A and B

	A	B
Selling Price	81	139
Variable Costs	51	79
Contribution Margin	30	60

Maximum we can sell is 1000 A and 2000 B.

Zanbrow has 6,000 kg. of material available Zanbrow has 6,000 Labour Hours available.

Product A requires 2 kg. Material and 3 Labour Hours. Product B requires 5 kg. Material and 2 Labour Hours.

Required:
What is the optimum amount to make of each product to maximize profit?

Problem 3:

Power engines make 2 engines Snowmobile and Boat engines

	Snowmobiles	Boats
Selling Price	$800	$1,000
Variable Costs	560	625
Contribution Margin	$240	$   375

Maximum production for Snowmobiles is 300 engines Maximum production for Boats is 110 engines

Assembling:
The company has 600 machine hours available

Snowmobiles require 2 machine hours per engine Boats require 5 machine hours per engine

Testing:
The company has 120 testing hours available

Snowmobiles require 1 testing hour per engine Boats require 0.5 testing hours per engine

Required:
What is the optimum amount to make of each product to maximize profit?

Problem 4:

Linear Programming Problem

Splash Co. makes 2 products, Kneeboards and Skis

	K	S
Selling Price	180	340
Variable Costs	70	180
Contribution Margin	110	160

Splash has 3,000 Labour Hours available. Splash has 5,000 Machine Hours available

Product K requires 1 Labour Hour and 2 Machine Hours. Product S requires 2 Labour Hours and 3 Machine Hours.

Maximum sales are 2,000 of each product. Minimum production is 50 units of each product.

Required:
What is the optimum amount to make of each product to maximize profit?

Linear Programming Problem

                                            Q       R

Selling Price                           18     40

Variable Costs                       8      20

Contribution Margin              10     20

Quasar has 8,000 Labour Hours available. Quasar has 12,000 Machine Hours available

Product Q requires 0.2 Labour Hours and 0.2 Machine Hours. Product R requires 0.2 Labour Hours and 0.5 Machine Hours.

Maximum sales are 30,000 of each product. Minimum production is 10,000 units of each product.

Required: What is the optimum amount to make of each product to maximize profit?

Attachment:- Linear Programming Exercises.rar