Linear Programming
Quiz
•
Mathematics
•
9th - 10th Grade
•
Medium
Kimberlee Joy
Used 34+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing.
7.5x+5.5y≥2000
7.5x+5.5y≥2000
7.5x+5.5y≤2000
7.5x+5.5y≤300
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Given the objective function: P = 30x + 50y
Which vertex maximizes the profit?
(0,0)
(6,2)
(8,0)
(0,6)
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.
Which inequality represents the situation?
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents this situation?
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Sarah makes $30 for each small purse (x) and $50 for each big purse (y). What is the objective quantity?
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Objective quantity:
P = 30x + 50y
Corner that maximizes profit: (0, 6)
What is the profit?
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulations to 15 gallons for her entire 6 acres. Soybeans require 2 gallons of pesticide for every acre planted and corn requires 3 gallons per acre. The profit the farmer makes by earning $4,000 for every acre of soybeans she plants and $3,000 for every acre she plants with barley can be modeled by P=4000x+3000y . If x represents acres of soybeans and y represents acres of corns, which inequalities represent the possible solutions to her situation?
x≥0
y≥0
x+y≥6
3x+2y≥15
x≥0
y≥0
x+y≤6
2x+3y≤15
x≥0
y≥0
4000x+y≤6
2x+600y≤15
P=4000x+3000y
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