A company makes three types of candy and packages them in three assortments. Assortment I contains 4 sour, 4 lemon, and 12 lime candies, and sells for P94. Assortment II contains 12 sour, 4 lemon, and 4 lime candies, and sells for P76. Assortment III contains 8 sour, 8 lemon, and 8 lime candies, and sells for P110. Manufacturing costs per piece of candy are P2 for sour, P2.50 for lemon, and P3 for lime. They can make 5,200 sour, 3,800 lemon, and 6,000 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit? What is the maximum profit?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
icon
Related questions
icon
Concept explainers
Topic Video
Question
  1. A company makes three types of candy and packages them in three assortments. Assortment I contains 4 sour, 4 lemon, and 12 lime candies, and sells for P94. Assortment II contains 12 sour, 4 lemon, and 4 lime candies, and sells for P76. Assortment III contains 8 sour, 8 lemon, and 8 lime candies, and sells for P110. Manufacturing costs per piece of candy are P2 for sour, P2.50 for lemon, and P3 for lime. They can make 5,200 sour, 3,800 lemon, and 6,000 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit? What is the maximum profit?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 6 images

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.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
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
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning