A group of students are trying to do enterpreneurship by baking cookies for the New Year Holidays. The student sells the cookies in two types, which are a mixture of two main ingredients of cheese and nuts. The cookies is sold in a container with a size of 1 kg. The ratio of the mixture between nuts and cheese for the first type of cake is 1:2 and the second type of cake is the same mixture in both. Due to limited capitalm the student currently has 90kg of cheese and 60kg of beans in stock. The purchase cost of nuts is IDR 12000/kg and cheese IDR 18000/kg. The selling price for the first type of cake is IDR 30000/kg and the second type is IDR 25000/kg. It is unknown that there are no more than 120 container of cookies sold.  Question a. Formulation in the linear program so the profit can be maximum. how many cookies that they need to prepare fpr every type and how much is the profit? Draw the graph!

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
Question
100%

A group of students are trying to do enterpreneurship by baking cookies for the New Year Holidays. The student sells the cookies in two types, which are a mixture of two main ingredients of cheese and nuts. The cookies is sold in a container with a size of 1 kg. The ratio of the mixture between nuts and cheese for the first type of cake is 1:2 and the second type of cake is the same mixture in both. Due to limited capitalm the student currently has 90kg of cheese and 60kg of beans in stock. The purchase cost of nuts is IDR 12000/kg and cheese IDR 18000/kg. The selling price for the first type of cake is IDR 30000/kg and the second type is IDR 25000/kg. It is unknown that there are no more than 120 container of cookies sold. 

Question

a. Formulation in the linear program so the profit can be maximum. how many cookies that they need to prepare fpr every type and how much is the profit? Draw the graph!

b.Which sources should be prioritized? What is the profit interval for each type of cake so the profit can be maximized?

Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Matrix Factorization
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
  • SEE MORE 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,