Problem Solving - Fated to earn money

[Guest]

Hi, I came up with a word problem that I know the answer to but I have no idea why the solution is what it is or how to reason through it.

Joe has investments in Company A, Company B, and Company C.
Joe is fated to earn $25.00 from Company A within 2 days from now.
Joe is fated to earn $45.00 from Company B within 3 days from now.
Joe is fated to earn $100.00 from Company C within 5 days from now.

Joe is fated to earn no more than $26.00 from Company C and Company B on day 1 (1 day from now).
Joe is fated to earn at least $14.00 from Company A and Company C on day 2 (2 days from now).

Joe has to earn twice the amount of money on the first day than the second day from Companies A, B, and C and twice the amount of money on the second day than the third day from Companies A, B, and C. This can be expressed algebraically as Joe earning x money on day 3 (3 days from now), 2x money on day 2 (2 days from now), and 4x money on day 1 (1 day from now).

Joe can earn whatever amount of money (that satisfies the other conditions) from Companies A, B, and C on day 4 and day 5 (4 and 5 days from now).

What is the lowest amount of money Joe can earn on day 1 (1 day from now) from Companies A, B, and C? Explain your reasoning.

P.S. How come there doesn't seem to be good formulas to use for this question?

Hint:

Spoiler: show

You won't have to calculate in cents for this question.

Answer:

Spoiler: show

44 dollars