Answer
a. P(x) = 20x - 10000
b. $190000
Work Step by Step
a. Profit is revenue - cost
P(x) = R(x) - C(x)
Substitute R(x) = 50x and C(x) = 10000 + 30x into P(x) = R(x) - C(x)
P(x) = 50x - (10000 + 30x)
P(x) = 20x - 10000
b. P(x) = 20x - 10000
P(10000) = 20(10000) - 10000
P(10000) = 190000