3. A soap factory produces two types of soap. The production data is given in the following table. kgs of raw material soap Raw Raw Raw Material-1 Material-2 Material-3 Soap A Soap B Storage restrictions on raw materials (kg) 1.4 1.0 0.8 3.0 0.6 1.5 25000 7000 12000 Both soaps are produced on the same machines and soap-A can be produced at a rate of 10 soap and soap-B at 8 soaps per hour. A total 750 machine hours are available in a given period of production. The profit per soap is 100 TL for soap-A and 200 TL for soap-B. Given that the company has firm orders for, and must produce at least 2000 of soap-A and that there is no demand for more than 3000 of soap-B. How many of each should be manufactured to maximize the profit? Formulate and solve the problem

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question
3. A soap factory produces two types of soap. The production data is given in the
following table.
kgs of raw material
Raw
soap
Raw
Raw
Material-1
Material-2
Material-3
1.4
1.0
0.8
Soap A
Soap B
Storage restrictions on raw materials (kg)
3.0
0.6
1.5
25000
7000
12000
Both soaps are produced on the same machines and soap-A can be produced at a
rate of 10 soap and soap-B at 8 soaps per hour. A total 750 machine hours are
available in a given period of production. The profit per soap is 100 TL for soap-A and
200 TL for soap-B. Given that the company has firm orders for, and must produce at
least 2000 of soap-A and that there is no demand for more than 3000 of soap-B. How
many of each should be manufactured to maximize the profit? Formulate and solve
the problem.
Transcribed Image Text:3. A soap factory produces two types of soap. The production data is given in the following table. kgs of raw material Raw soap Raw Raw Material-1 Material-2 Material-3 1.4 1.0 0.8 Soap A Soap B Storage restrictions on raw materials (kg) 3.0 0.6 1.5 25000 7000 12000 Both soaps are produced on the same machines and soap-A can be produced at a rate of 10 soap and soap-B at 8 soaps per hour. A total 750 machine hours are available in a given period of production. The profit per soap is 100 TL for soap-A and 200 TL for soap-B. Given that the company has firm orders for, and must produce at least 2000 of soap-A and that there is no demand for more than 3000 of soap-B. How many of each should be manufactured to maximize the profit? Formulate and solve the problem.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,