Question

A small independent motion picture company determines the profit Pfor producing n DVDcopies of a recent release is P =-0.02n2 + 3.40n - 16. Pis the profit in thousands of dollars and n isin thousands of units.How many dvds should be produced to maximize profits What with the maximized profit be

Answer 1

Step-by-step explanation:

Given the below function

P = -0.02n^2 + 3.4n - 16

Step 1: To find the unit prdduced, make p = 0

p = 0

0 = -0.02n^2 + 3.4n - 16

Step 2: make the co-efficient of n^2 to be 1

Divide all through by -0.02

-0.02n^2/-0.02 + 3.4n/-0.02 - 16/-0.02 = 0

n^2 + (-170n) - (-800) = 0

n^2 - 170n + 800 = 0

Step 3: solve the following quadratic equation by applying factorization method

From the above equation:

a = 1 b = -170 and c = 800

Therefore, ac = 800 x 1

ac = 800

Find the factors of 800 that will give us 170 when -170 when add and 800 when multiply