1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oksana_A [137]
3 years ago
11

Lisa is making cookies to sell at the Annual Dirt Bike Competition. A dozen oatmeal cookies require 3 cups of flour and 2 eggs.

A dozen sugar cookies require 4 cups of flour and egg. She has 40 cups of and 20 eggs. She can make no more than dozen oatmeal cookies and no more than 7 dozen sugar cookies, and she earns $3 each dozen oatmeal cookies and 2 for each dozen sugar cookies. How many dozens of each type of cookie should she make to maximize her profit?

History
1 answer:
just olya [345]3 years ago
5 0

Answer:

Oatmeal cookies = 1 dozen

Sugar cookies = 7 dozen

Explanation:

Objective function:

Maximize:        P = 3x + 2y

where

                       x =  oatmeal cookies

                       y = sugar cookies

Constraints:

Since it takes 2 and 4 cups for oatmeal and sugar cookies respectively, and she has total 40 cups of sugar:

1)     3x+4y ≤ 40

The same for eggs:

2)     2x+y ≤ 20

She can make no more than 1 dozen oatmeal and 7 dozen sugar cookies:

3)      x ≤ 1

4)      y ≤ 7

Now graph these above four constraints equation( see the image below)

Now the corner points are :

(0,7), (1,7), (1,0), (0,0)

Put these corner points in objective function:

for (0,7) :  P = ( 3×0 )  + ( 2×7 ) = 14

for (1,7) :   P = ( 3×1 )  + ( 2×7 ) = 17

for (1,0) :   P = ( 3×1 )  + ( 2×0 ) = 3

for (0,0) :  P = ( 3×0 )  + ( 2×0 ) = 0

Since the maximum profit = 17 comes from the point (1,7), she should make 1 dozen of oatmeal cookies and 7 dozen of sugar cookies.

You might be interested in
How does the holocaust affect the world today?
Pavel [41]

Answer:

The Holocaust was a watershed event in human history. In the aftermath of World War II, the world—from individual nations to the United Nations; from religious leaders to professionals in fields as diverse as law, medicine, and science; from presidents and prime ministers to private citizens—confronted its legacy. Many of the issues raised by this cataclysmic event continue to have an impact on our lives and the world in which we live.

View the Museum brochure A Changed World (PDF).

Listed below are significant changes that have occurred in light of the moral failures that allowed the Holocaust to happen, and related links to learn more.

NATIONS PLEDGED TO PREVENT AND PUNISH THE CRIME OF “GENOCIDE.”

   History of Genocide Timeline

CRIMINAL TRIALS ESTABLISHED THAT GOVERNMENT OFFICIALS WHO COMMIT CRIMES AGAINST HUMANITY COULD BE HELD ACCOUNTABLE BY INTERNATIONAL TRIBUNALS

   The Nuremberg Trials and Their Legacy

   War Crimes Trials (Holocaust Encyclopedia article)

   Justice and Accountability

INTERNATIONAL PROTECTION OF HUMAN RIGHTS EXPANDED DRAMATICALLY

   Confront Genocide

THE IDEA OF “INFORMED CONSENT” INFLUENCED ETHICAL APPROACHES TO MEDICAL EXPERIMENTATION ON HUMAN BEINGS

   The Doctors Trial (online exhibition)

   Deadly Medicine: Creating the Master Race (online exhibition)

PROTECTIONS FOR REFUGEES WERE BROADENED

   Staring Genocide in the Face

   Voyage of the St. Louis (online exhibition)

   Refugees (Holocaust Encyclopedia article)

   Varian Fry (Holocaust Encyclopedia article)

THE IDEA OF A JEWISH HOMELAND GAINED URGENCY

Life Reborn: Jewish Displaced Persons 1945–1951 (online exhibition)

THE MOVEMENT TOWARD RECONCILIATION BETWEEN CHRISTIANS AND JEWS ADVANCED

Confront Antisemitism

The Interfaith Story behind Nostra Aetate

Explanation:

3 0
3 years ago
Read 2 more answers
WILLL GIVE BRAINLIST!!!!
vagabundo [1.1K]

Answer:

The WCTU was a religious organization whose primary purpose was to combat the influence of alcohol on families and society. It was influential in the temperance movement, and supported the 18th Amendment. The Woman's Christian Union (WCTU) was founded in Cleveland, Ohio in November of 1874.

Explanation:

7 0
3 years ago
Read 2 more answers
What were Sacco and Vanzetti most likely convicted?
Phoenix [80]

Being Italian immigrants and anarchists made them most likely to be found guilty. In what way did this dread affect the Ku Klux Klan? Targeting Roman Catholics, Jews, union leaders, and people of color, they retaliated violently.  

<h3>Sacco and Vanzetti were found guilty of what?</h3>
  • Murder and robbery, There was no fair trial for Sacco and Vanzetti. Sacco and Vanzetti were accused of murder and robbery at the South Braintree Slater and Morrill shoe factory.
  • Because they were both anarchists and immigrants from Italy, they were most likely to be found guilty. How did this fear affect the Ku Klux Klan's actions? They retaliated violently, focusing on Roman Catholics, Jews, union leaders, and people of color.
  • Many believed that prejudice against immigrants was the cause of their conviction.
  • "[The Sacco-Vanzetti case] displayed the complete anatomy of American life, with all its classes, professions, points of view, and all its relationships, and it highlighted practically every basic question of our democratic system," wrote critic Edmund Wilson in 1928.    

To learn more about Sacco and Vanzetti refer to:

brainly.com/question/13878324

#SPJ4

7 0
1 year ago
The Boston Tea Party happened because the Colonist did not want to pay tax on tea. True or False
Sholpan [36]

Answer:

True. Although a little bit of false.

Explanation:

They didn't want to pay tax on the tea because it was to much.

4 0
2 years ago
What was the result of the Vietnam War?
nordsb [41]

Answer:

A

Explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • The pilgrims who signed the Mayflower Compact travelled to America to-
    11·2 answers
  • Describe the economic differences between the north and the south in the 1850s
    6·1 answer
  • What are the three kinds of delegated power held by the federal government?
    13·2 answers
  • PLEASE HELP!
    7·1 answer
  • What is the primary purpose of a proxy war?
    7·2 answers
  • Explain the goals and methods of affirmative action programs and describe an example scenario in which member of a marginalized
    12·1 answer
  • In 1649, the Act of Toleration
    12·2 answers
  • Which of these groups was MOST admired by Andrew Jackson?
    9·1 answer
  • A country has invested heavily in building cars and designing electronics.
    15·1 answer
  • When going before the Supreme
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!