2.5 - Linear Programming
Presentation
•
Mathematics
•
11th Grade
•
Practice Problem
•
Medium
Rachel Jones
Used 5+ times
FREE Resource
1 Slide • 10 Questions
1
By Rachel Jones
2
Fill in the Blanks
Imagine you are a baker, just starting out in the business. You make two things: donuts and pizzas. Unfortunately, your dough making machine can only make 100 balls of dough per hour. Each donut requires a single ball of dough but a pizza requires two balls of dough. If you made 10 donuts, what is the maximum number of pizzas you could make that hour?
You can make
3
Multiple Choice
You can make at most 70 donuts per hour due to physical restrictions.
If "x" represents the number of donuts produced per hour, which of the following statements is the best way of expressing this?
x≤70
70x≤60
x<70
x=70
x≥70
4
Math Response
Also, you can make at most 40 pizzas per hour. If y represents the number of pizzas produced per hour, write an inequality to represent this.
5
Multiple Select
By the way, you cannot make a negative number of donuts or pizzas. Using
"x" for the number of donuts produced each hour and
"y" for the number of pizzas for each hour,
choose the inequality/inequalities to represent this constraint.
y≥0
y≥x
x≤60
x≥0
y≤60
6
Multiple Choice
Your dough making machine can only make 100 balls of dough per hour.
Each donut requires a single ball of dough but a pizza requires two balls of dough.
Using `x` for the number of donuts produced each hour and `y` for the number of pizzas for each hour, choose the inequality to represent this constraint.
x−2y≤100
2x+y≤100
y≥2x+100
x+y≤100
x+2y≤100
7
Hotspot
Put points on the corners points (vertices) of the graph that represent the feasible region.
8
Multiple Choice
The bakery sells every donut or pizza that it makes. The profit made on each donut is $1.20 and the profit made on each pizza is $2.00. Which of the following is a rule for $"P", the total profit for making "x"
donuts and "y" pizzas in an hour?
P=3.2xy
P=1.2x+2y
P=2x+1.2y
P=x+y
1.2P=2y
9
Labeling
Label each point with the appropriate points below.
(0,0)
(20,40)
(0,70)
(15,70)
(0,40)
(40,20)
(70,0)
(40,0)
(70,15)
10
Math Response
Recall that profit is $1.20 per donut and $2.00 per pizza. Calculate the profit at each corner point and hence work out the best combination of donuts and pizzas that should be made per hour. (you may need to use scratch paper to make a table)
Enter the maximum amount of profit made.
11
Fill in the Blanks
Recall that profit is $1.20 per donut and $2.00 per pizza. Calculate the profit at each corner point and hence work out the best combination of donuts and pizzas that should be made per hour. Enter the optimal number of donuts and pizzas, together with the total profit per hour.
By Rachel Jones
Show answer
Auto Play
Slide 1 / 11
SLIDE
Similar Resources on Wayground
11 questions
Program Linier
Presentation
•
11th Grade
8 questions
Quadratic Applications
Presentation
•
10th - 12th Grade
7 questions
Kelompok 6
Presentation
•
12th Grade
9 questions
9D
Presentation
•
12th Grade
10 questions
Solving Problems Involving Direct, Inverse and Partitive
Presentation
•
11th Grade
10 questions
TAYO_KELAS_5_MATEMATIKA_KD_3.3_JARAK
Presentation
•
11th Grade
11 questions
Model Matematika Program Linear
Presentation
•
11th Grade
7 questions
Virtual Math Quiz BEE SHS level
Presentation
•
11th - 12th Grade
Popular Resources on Wayground
10 questions
Safety Day 2026 – Student Review
Quiz
•
9th Grade
21 questions
Continents and Oceans
Quiz
•
6th Grade
20 questions
Parts of Speech
Quiz
•
5th Grade
16 questions
Subject & Predicate
Quiz
•
5th Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
12 questions
Map Skills
Quiz
•
3rd Grade
22 questions
Continents and Oceans
Quiz
•
5th Grade
15 questions
Rounding Decimals
Quiz
•
5th Grade
Discover more resources for Mathematics
12 questions
Identify Rigid Transformations
Quiz
•
8th - 12th Grade
10 questions
Complementary, Supplementary, Vertical, and Linear Pairs
Quiz
•
9th - 12th Grade
22 questions
Identify Vertical and Horizontal Translations
Quiz
•
9th - 12th Grade
10 questions
Graphing Inequalities on a Number Line
Quiz
•
9th - 12th Grade
17 questions
Identifying Parallel And Perpendicular Lines
Quiz
•
9th - 12th Grade
18 questions
Integer Operations
Quiz
•
5th - 12th Grade
18 questions
Parallel lines cut by a transversal
Quiz
•
9th - 11th Grade
14 questions
Evaluate Linear Functions and Their Applications
Quiz
•
9th - 12th Grade