Question
In: Advanced Math
Quiz 4 A manufacturer makes and sales four types of products: Product X, Product Y, Product Z,...
Quiz 4
A manufacturer makes and sales four types of products: Product X, Product Y, Product Z, and Product W.
The resources needed to produce one unit of each product and the sales prices are given in the following Table.
|
Resource |
Product X |
Product Y |
Product Z |
Product W |
|
Steel (lbs) |
2 |
3 |
4 |
7 |
|
Hours of Machine Time (hours) |
3 |
4 |
5 |
6 |
|
Sales Price ($) |
4 |
6 |
7 |
8 |
- Currently, 4,600 pounds of steel and 5,000 machine hours are available.
- To meet customer demands, exactly 950 total products must be produced.
- Customers also demand that at least 400 units of Product W be produced.
Formulate an LP that can be used to maximize sales revenue for the manufacturer.
LP Formula
Let Pi be the number of product type i produced by the manufacturer, where i = X, Y, X, and W.
MAXIMIZE 4 PX + 6 PY + 7 PZ + 8 PW
Subject To
2 PX + 3 PY + 4 PZ + 7 PW <= 4600 ! Available Steel
3 PX + 4 PY + 5 PZ + 6 PW <= 5000 ! Available Machine Hours
PX + PY + PZ + PW = 950 ! Total Demand
PW >= 400 ! Product W Demand
PX >=0
PY >=0
PZ >=0
PW >=0
Suppose the sales price of Product Z is decreased by 60¢. What is the new optimal solution to the LP?
|
Objective Function Value: |
|
|
PX: |
|
|
PY: |
|
|
PZ: |
|
|
PW: |
Solutions
Expert Solution
The given problem is to solve the lp...all the steps are clearly written in the pic...if you have any doubt ask in the comment section...THANK YOU :-)
Colby Messinger answered 2 years agoRelated Solutions
Quiz 4 A manufacturer makes and sales four types of products: Product X, Product Y, Product Z,...
Quiz 4
A manufacturer makes and sales four types of
products: Product X, Product Y, Product Z, and Product
W.
The resources needed to produce one unit of each product and the
sales prices are given in the following Table.
Resource
Product X
Product Y
Product Z
Product W
Steel (lbs)
2
3
4
7
Hours of Machine Time (hours)
3
4
5
6
Sales Price ($)
4
6
7
8
Currently, 4,600 pounds of steel and 5,000 machine hours are...
Quiz 4 A manufacturer makes and sales four types of products: Product X, Product Y, Product Z,...
Quiz 4
A manufacturer makes and sales four types of
products: Product X, Product Y, Product Z, and Product
W.
The resources needed to produce one unit of each product and the
sales prices are given in the following Table.
Resource
Product X
Product Y
Product Z
Product W
Steel (lbs)
2
3
4
7
Hours of Machine Time (hours)
3
4
5
6
Sales Price ($)
4
6
7
8
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The products are produced on two types of machine and worked
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