Creating Objective Equation Linear Programming
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered
Used 1+ times
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9 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In other words...what are the vertices of the feasible region?
(0, 0), (0, 6), (6, 2), (8, 0)
(0, 0), (6, 0), (2, 6), (0, 8)
Tags
CCSS.HSA.REI.D.12
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which corner point will maximize the Objective Function
(7,4)
(3,10)
(10,1)
(8,5)
3.
MULTIPLE CHOICE QUESTION
1 min • 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 he plants and $3,000 for every acre he 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
4.
MULTIPLE CHOICE QUESTION
1 min • 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 he plants and $3,000 for every acre he plants with barley can be modeled by P=4000x+3000y . What is the maximum profit that she can earn?
$15,000
$21,000
$18,000
$25,000
5.
MULTIPLE CHOICE QUESTION
1 min • 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 he plants and $3,000 for every acre he plants with barley can be modeled by P=4000x+3000y . What combination of soybeans and corn will maximize profit?
4 acres of soybeans and 2 acres of corn
6 acres of soybeans and 0 acres of corn
3 acres of soybeans and 3 acres of corn
0 acres of soybeans and 5 acres of corn
6.
MULTIPLE CHOICE QUESTION
1 min • 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?
x + y ≤ 8
x + y > 8
2x + 3y ≤ 6
x + y ≤ 10
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Maximize P = 3x + y with the following constraints:
x = 0, y = 300
x = 150, y = 150
x = 100, y 150
x = 150, y = 100
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