6. You get hired for a new job that will only last for one month (31 days, you work 7 days a week) and you are offered the two following payment plans to choose from:  Plan A: $4,000 per day for the whole month with a $10,000 signing bonus.  Plan B: $0.01 for day 1, $0.02 for day 2, $0.04 for day 3, $0.08 for day 4, $0.16 for day 5 ... and so on, every day is double the previous days salary, with no signing bonus.

a) Create two functions that model each of these payment plans, where t is the number of days. (Plan A's function, At, will represent what you earn total over the whole 31 days, Plan B's function, Bt, will represent what you earn each individual day.)

b) At first glance, which plan looks like a better deal to you? Defend your answer. c) Calculate how much you will make in one month of Plan A.

d) Calculate how much you will make on the 31st day of Plan B.

e) Now revisit your answer to b), which plan is a better deal?

Question

Mathematics

Makai Reynolds

31 July, 20:26

6. You get hired for a new job that will only last for one month (31 days, you work 7 days a week) and you are offered the two following payment plans to choose from:  Plan A: $4,000 per day for the whole month with a $10,000 signing bonus.  Plan B: $0.01 for day 1, $0.02 for day 2, $0.04 for day 3, $0.08 for day 4, $0.16 for day 5 ... and so on, every day is double the previous days salary, with no signing bonus.

a) Create two functions that model each of these payment plans, where t is the number of days. (Plan A's function, At, will represent what you earn total over the whole 31 days, Plan B's function, Bt, will represent what you earn each individual day.)

b) At first glance, which plan looks like a better deal to you? Defend your answer. c) Calculate how much you will make in one month of Plan A.

d) Calculate how much you will make on the 31st day of Plan B.

e) Now revisit your answer to b), which plan is a better deal?

+2

Answers (1)

Know the Answer?

Meredith Clay · Answer 1

For plan A f (t) = 4000t+10000

for plan B 0.01+0.02+0.04 + ... = 0.01 * (2^t-1)

at first plan A seems better because you earn 4000 on the first day but you earn 0.01 but at last plan B is better.

f (31) = 4000*31+10000=134000

g (31) = 0.01 * (2^31-1) = 21474836.47