Quiz 5

Date: MATH 1090-4 - Fall 2003

Note: Unless stated otherwise, answers without justification receive no credit. Please, show your work!

1. Suppose that the profit from a sale of $x$ units of a product is $P(x) = 6400x-18x^2-400$.
   1. What level(s) of production yield a profit of $ 61800?
   2. Can a profit of more than $ 61800 be made?

2. For the graph of $f(x)=4x^2+4x-15$:
   1. Find the coordinates of the vertex.
   2. Is the vertex a maximum or minimum of $f$?
   3. Find all the intercepts.
   4. Using all the information that you collected so far, sketch the graph of $f$.