Suppose a company has fixed costs of $43,200 and variable cost per unit of 4 9 x + 333 dollars, where x is the total number of units produced. suppose further that the selling price of its product is 2157 − 5 9 x dollars per unit.

The question have no a clear question to resolved however is common in this kind of exercises to know

a). Profit function

b). Break points

c). Maximum value in revenue function  

Step-by-step explanation:

a). Cost per Unit =

    Variable Cost =

    Fixed Cost = 43200 $

Total cost = Fixed Cost + Variable Cost ⇒

Given selling price per Units =

Then selling price for 'x' units is Revenue Function =  

Profit function can be find by Revenue - Total Cost:

b). The break points is the total cost equal to selling cost

Using this equation to know the X value:

So, it will take 24 or 1800 to break even points

c). Substitute for a vertex formula

Now substitute 1941,3 for x in revenue function

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1