Question

the monthly base salary of a shoes sales person is birr 900. she has a commission of 2% on all sales oer birr 10,000 during the the month. if the monthly sales are birr 15,000 or more, she receives birr 500 bonus. if x represents the monthly sales in birr and f(x) represents income in birr, express f(x) in terms of x and discuss the continuity of f on [0, 25000]!

Answer 1

for x in [0,10000), f(x) = 900
for x in [10000,15000), f(x) = 900+.02(x-10000)
for x in [15000,25000] f(x) = 900+.02(x-10000) + 500

I think you can discuss the continuity. If not, draw the graph and it will become clear.

Answer 2

-6000

Answer 3

-60000

Answer 4

5500