According to a state law the maximum amount of a jury award

According to a state law, the maximum amount of a jury award that Attorney\'s can receive is given below. 40% of the first$130,000 33.3% of the next $190,00 30% of the next $190,000 24% of anything over $450,000 let f(x) represent the maximum amount of money that an attorney in the state can receive for jury award of size x. Find each of the following and describe in a sentence what the answer tells you a. f(190,000) b. f(320,000) c.f(520,000) d.(Sketch a graph of f(x).

Solution

a)

x=150,000 = 130,000 + 20,000

f(x) = 40% of 130,000 + 33.3 % of 20,000

f(x) = 52,000 + 6660 = 58660

b)

x=320,000 =130,000 + 130,000 + 60,000

f(x) = 40% of 130,000 + 33.3% of 130,000 +30% of 60,000

f(x) = 52,000 + 43290 + 18000 =113290

c)

x = 520,000 = 130,000 + 130,000 + 190,000 + 70,000

f(x) = 40% of 130,000 +33.3% of 130,000 +30% of 190,000 + 24% of 70,000

f(x) = 52,000 + 43290 + 57,000 + 16800 =169090