Question

. The selling price for each item of a product is $50 and Total cost is given by

𝐶(𝑥) = 10𝑥 + 18,000

Where 𝑥 is the number of items.

a) Write revenue function.

b) Find 𝐶(100) and write a sentence that explains it’s meaning.

c) Find number of units that gives break-even point.

Answer 1

a)

$$R(x)=p\cdot x=50x$$

b)

$$C(100)=10(100)+18000=19000$$

The total cost of producing 100 units is $19,000.

c)

$$P(x)=0=>50x-(10x+18000)=0$$

$$40x=18000$$

$$x=450$$