The function c(x) = 600x – 0.3x2 represents total costs for a company to produce a product, where c is the total cost in dollars and x is the number of units sold. what number of units would produce a maximum cost? what is the maximum cost?

1000 units produces a maximum cost of $300,000.

Step-by-step explanation:

C(x) = -0.3x² + 600x

The equation is a downward parabola.  Its maximum is at the vertex, which can be found with:

x = -b / (2a)

Here, a = -0.3 and b = 600.

x = -(600) / (2 × -0.3)

x = 1000

The maximum cost is:

C(1000) = 300,000

1000 units produces a maximum cost of $300,000.

You can also use calculus to find the maximum.

C(x) = -0.3x² + 600x

C'(x) = -0.6x + 600

0 = -0.6x + 600

x = 1000

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

total of apples - take away four

6-4 = 2

answer is 2 apples