Question

The cost and revenue functions for producing and selling x units of a product are given. Cost and revenue are expressed in dollars.C(x)=14,980+20x, R(x)=30xa. Find the number of units that must be produced and sold to break even. At this level, what is the dollar amount coming in and going out?b. Write the profit function from producing and selling x units of the product

Answer 1

Answer:

Step-by-step explanation:

The cost function is expressed in dollars as

C(x) = 14980 + 20x

The revenue function is expressed in dollars as

R(x) = 30x

a) At the point of break even, the total cost equals the total revenue. There is neither profit nor loss. Therefore, the the number of units that must be produced and sold to break even would be

14980 + 20x = 30x

30x - 20x = 14980

10x = 14980

x = 1498

1498 mist be produced and sold to break even.

At this level, the dollar amount coming in and going out is

30 × 1498 = $44940

b) Profit = Revenue - cost

P(x) = R(x) - C(x)

P(x) = 30x - (14980 + 20x)

P(x) = 30x - 14980 - 20x

P(x) = 10x - 14980