# Multivariable Function

#### bb155

A hall charges $30 per person for a sports banquet. For every group of over 50, the hall will decrease the price by$10 per person, in excess of 50 people.

a. Write revenue as a multivariable function of the number of people, q, in excess of 50 and the price per person, p.

b.Write a constraint equation for the price in terms of the number of people in excess of 50

c.Maximize the revenue under the contstraint using the method of Lagrange Multipliers.

I just cant figure out b and c.. can anyone lend some help? As far as #A I have found that Revenue = 1700-10q and that when q=85 revenue is maximized.

Related Calculus and Beyond Homework Help News on Phys.org

#### Mark44

Mentor
A hall charges $30 per person for a sports banquet. For every group of over 50, the hall will decrease the price by$10 per person, in excess of 50 people.

a. Write revenue as a multivariable function of the number of people, q, in excess of 50 and the price per person, p.

b.Write a constraint equation for the price in terms of the number of people in excess of 50

c.Maximize the revenue under the contstraint using the method of Lagrange Multipliers.

I just cant figure out b and c.. can anyone lend some help? As far as #A I have found that Revenue = 1700-10q and that when q=85 revenue is maximized.
Part a asks for the revenue as a function of q and p, R(q, p). What did you get as that function?

### Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving