A caterer in quoting the charge for producing a dinner proposes the following terms. For a group of 60 people, he will charge $30 per person. For every extra 10 people, he will lower the price by$1.50 per person for the whole group. What size group does the caterer want to maximize his income?

Help pls!!

2. Originally Posted by Sorena
A caterer in quoting the charge for producing a dinner proposes the following terms. For a group of 60 people, he will charge $30 per person. For every extra 10 people, he will lower the price by$1.50 per person for the whole group. What size group does the caterer want to maximize his income?

Help pls!!

let x = number of groups of 10 extra people over 60

revenue = (price)(number of people)

set up revenue as a function of x

3. what's the function? I couldn't get it

4. Originally Posted by Sorena
what's the function? I couldn't get it

this is a revenue question

let x represent any changes so set up the functions as followed:

Revenue= price x quantity

(60 + 10x)(30 - 1.50x)
expand on this then since it want you to find the max income complete the square to get your answer

hope this helped

you do realize this thread is almost two years old, right?