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