2. A(x) = x (50 - x)
Find the following:
a. A(10) =
b. A(20) =
c. A(30) =
d. A(x) = 0
e. When is A(x) at its maximum?
Explain or show how you know.

B) $814

Explanation:

Step 1. Calculate the volume of the parts.

Start with what you know: you have an order for 300 steel parts.

The next piece of information about the parts is their volume.

900 cm³ = 1 part.             Calculate the volume

V = 300 × 900/1

V = 270 000 cm³

Step 2. Calculate the mass of the parts.

8.15 g = 1 cm³                   Calculate the mass

m = 270 000 × 8.15/1

m = 2 200 500 g

Step 3. Convert the mass to kilograms

1 kg = 1000 g                   Convert to kilograms

m = 2 200 500 × 1/1000

m = 2 200.5 kg

Step 4. Calculate the total cost

$0.37 = 1 kg                     Calculate the cost

C = 2 200.5 × 0.37/1

C = $814