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 ($) |
4 |
6 |
7 |
8 |
- Currently, 4,600 pounds of steel and 5,000 machine hours are available.
- To meet customer demands, exactly 950 total products must be produced.
- Customers also demand that at least 400 units of Product W be produced.
Formulate an LP that can be used to maximize sales revenue for the manufacturer.
LP Formula
Let Pi be the number of product type i produced by the manufacturer, where i = X, Y, X, and W.
MAXIMIZE 4 PX + 6 PY + 7 PZ + 8 PW
Subject To
2 PX + 3 PY + 4 PZ + 7 PW <= 4600 ! Available Steel
3 PX + 4 PY + 5 PZ + 6 PW <= 5000 ! Available Machine Hours
PX + PY + PZ + PW = 950 ! Total Demand
PW >= 400 ! Product W Demand
PX >=0
PY >=0
PZ >=0
PW >=0
Suppose the sales price of Product Z is decreased by 60¢. What is the new optimal solution to the LP?
|
Objective Function Value: |
|
|
PX: |
|
|
PY: |
|
|
PZ: |
|
|
PW: |
Solutions
Expert Solution
The given problem is to solve the lp...all the steps are clearly written in the pic...if you have any doubt ask in the comment section...THANK YOU :-)
Colby Messinger answered 3 years agoRelated Solutions
Quiz 4 A manufacturer makes and sales four types of products: Product X, Product Y, Product Z,...
Quiz 4
A manufacturer makes and sales four types of
products: Product X, Product Y, Product Z, and Product
W.
The resources needed to produce one unit of each product and the
sales prices are given in the following Table.
Resource
Product X
Product Y
Product Z
Product W
Steel (lbs)
2
3
4
7
Hours of Machine Time (hours)
3
4
5
6
Sales Price ($)
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
Currently, 4,600 pounds of steel and 5,000 machine hours are...
BC Company sells three products, X, Y, and Z. During October, Product X had sales of...
BC Company sells three products, X, Y, and Z. During October,
Product X had sales of $500,000; Product Y had sales totaling
$300,000; and Product Z reported sales of $200,000. ABC Company
as a whole reported total fixed costs of $443,000, a total
segment margin of $77,000, and a net income of $53,000.
The traceable fixed costs for Product X amounted to $80,000
during October and the traceable fixed costs for Product Z
were $60,000 in October.
Calculate the traceable...
KUMA makes three products X, Y, and Z. All three products must be offered for sale...
KUMA makes three products X, Y, and Z. All three products must
be offered for sale each month in order to provide a complete
market service. The products are fragile and their quality
deteriorates rapidly once they are manufactured.
The products are produced on two types of machine and worked on
by a single grade of direct labour. Five direct employees are paid
Ghc 8 per hour for a guaranteed minimum of 160 hours each per
month.
All of the...
A factory makes a product out of three infinitely- divisible ingredients X, Y , and Z....
A factory makes a product out of three infinitely- divisible
ingredients X, Y , and Z. The ingredients cost p, q, and r pounds
per kg, respectively, with p, q, r > 0 all different, and the
factory has a budget of B > 0 pounds. The value of the product
is some function g(x, y, z)=exp(x+y+z). of the weight of the
ingredients. Solve this problem when the factory wishes to maximize
the value of their product, within their budget.
We are analyzing 2 products – product X and product Y. Product X requires 4 Part...
We are analyzing 2 products – product X and product Y.
Product X requires 4 Part As and 3Part B’s.
Product Y requires 3 Part A’s and 2 Part B’s.
The standard cost for Part A is $24 per unit.
The standard cost for Part B is $12 per unit.
During this month, the company purchased 50,000 units of Part A
for $1,220,000 (there was no beginning balance).
During this month, the company purchased 50,000 units of Part B
for...
QUESTION 1 KUMA makes three products X, Y, and Z. All three products must be offered...
QUESTION 1
KUMA makes three products X, Y, and Z. All three products must
be offered for sale each month in order to provide a complete
market service. The products are fragile and their quality
deteriorates rapidly once they are manufactured.
The products are produced on two types of machine and worked
on by a single grade of direct labour. Five direct employees are
paid Ghc 8 per hour for a guaranteed minimum of 160 hours each per
month.
All...
ABC Company produces Product X, Product Y, and Product Z. All three products require processing on...
ABC Company produces Product X, Product Y, and Product Z. All
three products require processing on specialized finishing
machines. The capacity of these machines is 2,130 hours per month.
ABC Company wants to determine the product mix that should be
achieved to meet the high demand for each product and provide the
maximum profit. Following is information about each product:
Product X Product Y Product Z Selling price $ 149 $ 121 $ 35
Variable costs 104 60 27 Machine...
Find the coordinates of the point (x, y, z) on the plane z = 4 x...
Find the coordinates of the point (x, y, z) on the plane z = 4 x
+ 1 y + 4 which is closest to the origin.
dKristen Company manufactures three products: X, Y, and Z. The demand for each product is 100...
dKristen Company manufactures three products: X, Y, and Z. The
demand for each product is 100 units. The selling price, variable
expenses, and contribution margin for one unit of each product
follow:
Product
X
Y
Z
Selling price
$140
$300
$390
Less variable expenses
(Only Special
steel)
50
100
150
Contribution margin
$90
$200
$240
Steel need to make 1 unit
1 kg
2 kg
3 kg
The same special steel is used for...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- How Can Hominin Evolution be characterized as " mosaic evolution" Use examples of species from the...
- Absorption and Variable Costing Income Statements for Two Months and Analysis During the first month of...
- Mobile and wireless devices are being increasingly used in the Business Administration and Management Industry. write...
- What are the options that might be considered in relation to introducing flexible work practices? What...
- Question 2 : Aggregate Scores: Write a program that opens 2 files, quiz.txt, and hw.txt. The...
- Define the term symbiosis specifically as it applies in a biological context. Compare and contrast parasitism,...
- A research team conducted a study showing that approximately 20% of all businessmen who wear ties...
ADVERTISEMENT