Answered

For a certain company the cost for producing x items is 40x 300 and the revenue for selling x items is 80x- 0.5x^2.
Find two values of x that will create a profit of $50

Verified Answer :

Answer:

40+ 10√10 and 40-10√10

Step-by-step explanation:

The two equations are 40x+300 and 80-0.5x^2

Substitute the given functions:

P(x)=(80x−0.5x^2)−(40x+300)P(x)=(80x−0.5x^2)−(40x+300)

P(x)=80x−0.5x^2−40x−300P(x)=80x−0.5x^2−40x−300

P(x)=−0.5x^2+40x−300P(x)=−0.5x^2+40x−300

Now, set up the equation for profit:

−0.5x^2+40x−300=50−0.5x^2+40x−300=50

To simplify, multiply the entire equation by -2 to eliminate the decimal:

x^2−80x+600=0

Now plug this into the quadratic formula

You should recieve 40±10√10

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