Math questionlmklmlkm

Question

To produce x units of a religious medal costs

Upper C left parenthesis x right parenthesis equals 12 x plus 36.

The revenue is

Upper R left parenthesis x right parenthesis equals 30 x.

Both cost and revenue are in dollars.

a. Find the​ break-even quantity.

b. Find the profit from

490

units.

c. Find the number of units that must be produced for a profit of

​$180

Answer 1

R(x) = 30x, C(x) = 12x +36. set them equal to find the break output level

30x = 12x +36

30x -12x = 36

18x = 36

x = 36/18 = 2

Profit = R-C = 30x -12x -36 = 18x -36

P(490) = 18(490) +36 = 8820-36 = $8,784

If Profit = 180 = 18x - 36

18x = 180+36

18x = 216

x = 216/18 = 7

x = 7 for a profit of $180