Darius runs a store that sells fancy chocolates. Each batch ofBlack Hole Dark Truffles takes 12 ounces of cocoa and 6 ounces of cream. Each batch ofMint Cream Breezes requires 54 ounces of cocoa, and 2 ounces of cream. The store needs to immediately use 972 ounces of cocoa and 336 ounces of cream. If each batch ofBlack Hole Dark Truffles costs $15 in expenses, and each batch ofMint Cream Breezes costs $16, we want to know how many of each of the fancy chocolates Darius should have the store make to have the least expenses. Which of the following are the constraint(s) in this situation? A. 12c+6c≥97212c+6c≥972 B. B≥15B≥15 C. E=15B+16ME=15B+16M D. M≥16M≥16 E. 54c+2c≥33654c+2c≥336 F. 15B+16M≥3115B+16M≥31 G. 12B+54M≥97212B+54M≥972 H. 6B+2M≥336

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one...
icon
Related questions
Topic Video
Question

Darius runs a store that sells fancy chocolates. Each batch ofBlack Hole Dark Truffles takes 12 ounces of cocoa and 6 ounces of cream. Each batch ofMint Cream Breezes requires 54 ounces of cocoa, and 2 ounces of cream. The store needs to immediately use 972 ounces of cocoa and 336 ounces of cream. If each batch ofBlack Hole Dark Truffles costs $15 in expenses, and each batch ofMint Cream Breezes costs $16, we want to know how many of each of the fancy chocolates Darius should have the store make to have the least expenses.

Which of the following are the constraint(s) in this situation?

A. 12c+6c≥97212c+6c≥972

B. B≥15B≥15

C. E=15B+16ME=15B+16M

D. M≥16M≥16

E. 54c+2c≥33654c+2c≥336

F. 15B+16M≥3115B+16M≥31

G. 12B+54M≥97212B+54M≥972

H. 6B+2M≥336

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
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
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning