Video Check: Select all that apply with regards to the video embedded directly above this item.
Solve It! You want to spend no more than $40 for at most 15 tomato plants. You want to maximize the pounds of tomatoes you'll get.
Graph It! The variables are the number of Roma (x) and cherry tomato plants (y) you buy. Graph both of the inequalities on the same plane at desmos.com/calculator.
2x+3y\le40
x+y\le15
You will use your graph in the next item.
5 points
5
Question 2
2.
Use your Desmos graph to identify the combination of tomatoes that maximize the number of pounds that you can buy.
5 roma
10 cherry
10 roma
2 cherry
To maximize pounds
3 points
3
Question 3
3.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 4
4.
Take Note: Define linear programming.
10 points
10
Question 5
5.
Take Note: Define constraints as they pertain to linear programming.
10 points
10
Question 6
6.
Take Note: Define feasible region as it pertains to linear programming.
10 points
10
Question 7
7.
Take Note: Define objective function as it pertains to linear programming.
10 points
10
Question 8
8.
Take Note: Summarize the Vertex Principle of Linear Programming.
10 points
10
Question 9
9.
Problem 1 Got It? Use the constraints from Problem 1 with the objective function
P = x + 3y.
What values of x and y maximize P?
3 points
3
Question 10
10.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 11
11.
Take Note: Summarize the process of using linear programming to maximize profit using an objective function.
10 points
10
Question 12
12.
Problem 2 Got It?
10 points
10
Question 13
13.
🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
