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.
Answer:
slope = - 4
Step-by-step explanation:
Calculate the slope m using the slope formula and any 2 ordered pairs from the table.
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 8) and (x₂, y₂ ) = (- 1, 4) ← 2 points from the table
m =
=
= - 4
For this case we have the following function:

<span>Deriving t</span><span>he function we have:
</span>

We now evaluate the function for the value of x = 5.
We have then:
Answer:
the derivative of f(x) = 4x + 7 at x = 5 is:
4
Answer:
1962/18=109.
Division sign
Step-by-step explanation: