Sugu has an online shop where she sells handmade paintings and cards. She sells each painting for RM50 and each card for RM20. It takes her 2 hours to complete one painting and 45 minutes to make a single card. She also has a day job and only makes paintings and cards in her free time. She cannot spend more than 15 hours a week to make paintings and cards. She uses oil paint to make the painting and card. She needs 3 bottles of oil paint for each painting and 2 bottles of oil paint for each card. She only could afford to spend RM100 per week and each bottle of oil paint costs RM2. Sugu's husband helps to deliver her handmade paintings and cards to customers. This limits the order that Sugu can confidently complete and deliver. At the moment, she has committed to complete and deliver a maximum of 10 paintings and cards per week. Sugu makes a profit of RM25 on each painting and RM15 on each card sold. Use Simplex method to determine how many paintings and cards she should make each week to maximize her profit.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CR: Review Problem Set
Problem 41CR
icon
Related questions
icon
Concept explainers
Topic Video
Question
Sugu has an online shop where she sells handmade paintings and cards. She sells each painting
for RM50 and each card for RM20. It takes her 2 hours to complete one painting and 45 minutes
to make a single card. She also has a day job and only makes paintings and cards in her free
time. She cannot spend more than 15 hours a week to make paintings and cards.
She uses oil paint to make the painting and card. She needs 3 bottles of oil paint for each
painting and 2 bottles of oil paint for each card. She only could afford to spend RM100 per
week and each bottle of oil paint costs RM2.
Sugu's husband helps to deliver her handmade paintings and cards to customers. This limits
the order that Sugu can confidently complete and deliver. At the moment, she has committed
to complete and deliver a maximum of 10 paintings and cards
per week.
Sugu makes a profit of RM25 on each painting and RM15 on each card sold. Use Simplex
method to determine how many paintings and cards she should make each week to maximize
her profit.
Transcribed Image Text:Sugu has an online shop where she sells handmade paintings and cards. She sells each painting for RM50 and each card for RM20. It takes her 2 hours to complete one painting and 45 minutes to make a single card. She also has a day job and only makes paintings and cards in her free time. She cannot spend more than 15 hours a week to make paintings and cards. She uses oil paint to make the painting and card. She needs 3 bottles of oil paint for each painting and 2 bottles of oil paint for each card. She only could afford to spend RM100 per week and each bottle of oil paint costs RM2. Sugu's husband helps to deliver her handmade paintings and cards to customers. This limits the order that Sugu can confidently complete and deliver. At the moment, she has committed to complete and deliver a maximum of 10 paintings and cards per week. Sugu makes a profit of RM25 on each painting and RM15 on each card sold. Use Simplex method to determine how many paintings and cards she should make each week to maximize her profit.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Application of Algebra
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
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College