Answer:
The maximum profit is reached with 4 deluxe units and 6 economy units.
Step-by-step explanation:
This is a linear programming problem.
We have to optimize a function (maximize profits). This function is given by:
being D: number of deluxe units, and E: number of economy units.
The restrictions are:
- Assembly hours: 
- Paint hours: 
Also, both quantities have to be positive:
We can solve graphically, but we can evaluate the points (D,E) where 2 or more restrictions are saturated (we know that one of this points we will have the maximum profit)
The maximum profit is reached with 4 deluxe units and 6 economy units.
Y=15x
15 gallons drained per minute
In 3 minutes the aquarium will be successfully drained.<span />
Answer:
It takes 2.4 hours to travel 480 miles.
Step-by-step explanation:
From the graph race car is moving at 100 miles in 0.5 hours. So, in 1 hour, car could travel 2*100 =200 miles per hour.
So, we can set up equation as
y= 200x.
Plug in y as 480 then solve for x.
480 =200x
Divide both sides by 200
2.4=x
So, it would take 2.4 hours.
Answer:
"Your grade, g, must be at least 75 to pass this class'' is translated as:
Step-by-step explanation:
Given the grade is denoted by 'g'.
In algebra '≥︎' denotes that something must be 'greater than or equal to'. In other words, it means 'at least'.
As the gade must be at least 75, it means it can be greater than 75, but it can not be less than 75.
Therefore, "Your grade, g, must be at least 75 to pass this class'' is translated as:
