SOLUTION: Assume the cost of a company picnic is described by the function P(n)=(1/2)n^2-10n+80 where n represents the number of employees and family members attending the picnic and P (i

Question 56702: Assume the cost of a company picnic is described by the function
P(n)=(1/2)n^2-10n+80 where n represents the number of employees and family members attending the picnic and P (in dollars) represents the cost of the picnic How many employees and guests in attendance produce a minimum cost? What is the minimum cost for this event?
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Assume the cost of a company picnic is described by the function
P(n)=(1/2)n^2-10n+80 where n represents the number of employees and family members attending the picnic and P (in dollars) represents the cost of the picnic How many employees and guests in attendance produce a minimum cost? What is the minimum cost for this event?
The vertex of this parabola gives you the answers that you're looking for. You find the x value of the parabola with the formula
Your quadratic equation is in standard form, a=(1/2), b=-10, and c=80, so

This is the amount of employees and guests that produce the minimum cost, 10.
Find P(10) to find the minimum cost:

The minimum cost is $30.
Happy Calculating!!!
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