I am stuck on a calculus problem.. I have most of the answer but I suddenly got confused, and cant figure it out any further, the question is:(adsbygoogle = window.adsbygoogle || []).push({});

The goodfood catering company finds that competitors cater lunch for a group of 100 people for $5 each. The manager of Goodfood calculates the for each 25 cent discount per lunch, its possible to sell an additional 10 lunches. If each lunch costs goodfood $2 to prepare, how many lunches should be prepared to maximize profit.

This is what I got so far:

let P represent profit, let x represent # of discounted of lunches

P=(3-0.25x)(100+10x)

=-2.5x^2+5x+300

for the derivative i got x=1.

When i substituted that into the above equationi got:

=-2.5(1)^2+5(1)+300

=302.5 HERES WHERE I AM LOST!!!!

Is this 302.5, the amount of profit they make or is this the number of lunches they should make to make greatest profit.???

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Calculus please help asap-due tomorrow

**Physics Forums | Science Articles, Homework Help, Discussion**