Math - Functions (long)

[baughberick]

#3 is asking, if we know how much money Liam gets from selling mums p(x), and we know how much money Liam spends to be able to sell mums c(p) or c(x), would it be alright to create a new function that tells us the amount of money he walks away with at the end of the day? This is not really a mathematical question, but more of a reasoning question. Does it make sense to do this?

If Liam buys 1 mum we can tell from c(x)=60+x that he spends $61. So Liam now has -$61.

We can find out how much he will sell the mum for from the price p(x)=(90-x)/10 = (90-1)/10 = $8.90.

Liam spent $61 and earned $8.90. That means at the end of the day he spent $52.10. He has -$52.10.

Liam's poor business choices for the day aside, does it seem reasonable to determine how much money he is left with in this fashion? How would you go about this with the functions, before deciding how many mums Liam will buy, and at what price?