. 7-9p≥7 or 2p

The cost function for a certain company is c = 50x + 600 and the revenue is given by r = 100x − 0.5x2. Recall that profit is rev

goblinko [34]

The quadratic equation is: $p=-0.5x^2+50x-600$ and the two values of $x$ will be 40 and 60 that will create a profit of $600.

Explanation

The cost function is: $c=50x+600$ and

The revenue function is: $r=100x-0.5x^2$

As the profit means $(Revenue-Cost)$ , so the Profit function will be....

$p= r-c\\ \\ p=(100x-0.5x^2)-(50x+600)\\ \\ p=100x-0.5x^2-50x-600\\ \\ p=-0.5x^2+50x-600$

So, the quadratic equation is: $p=-0.5x^2+50x-600$

Now for creating a profit of $600 means, we will plug $p=600$ into the above equation. So.....

$600=-0.5x^2+50x-600\\ \\ 0.5x^2-50x+1200=0 \\ \\ 0.5(x^2-100x+2400)=0\\ \\ 0.5(x-40)(x-60)=0$

Now applying zero-product property.....

$x-40=0\\ x=40\\ \\ and\\ \\ x-60=0\\ x=60$

So, the two values of $x$ will be 40 and 60 that will create a profit of $600.

4 0

4 years ago

What is the x-intercept of the graph that is shown below?

Mice21 [21]

Answer:

3

Step-by-step explanation:

its 3 because the line goes through 3 on x axis of the graph

5 0

3 years ago

Read 2 more answers

The diagonals of kite KITE intersect at point P. If m A. 34° B. 46° C. 68° D. 92°

JulijaS [17]

Answer:

The diagonal of kite intersect at the point p is C. 68°

7 0

3 years ago

FAST. As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of

nalin [4]

They will hold 112.25 cm^3 more. Find the volume of the second can with the new side lengths and subtract the orginal volume from the new one.

7 0

2 years ago

A casino knows that people play slot machines in hopes of hitting the jackpot but that most of them lose their dollar. Suppose t

liraira [26]

Answer:

A) Gamblers lose a relatively small amount most of the time but there are a few large pay-outs

B) if person play 5 times, the mean of the casino's profit is $0.04

if person play 5 times, the standard deviation of the casino's profit i$268.33

C) If gamblers play this machine 1000 times in a day, the mean is $80

If gamblers play this machine 1000 times in a day, the standard deviation is $3794.3

D) Yes

Step-by-step explanation:

From the details given , it is observed that a casino knows that people play the soft machines in hopes of hitting the jackpot but most of them lose their dollars

There is a certain machine that pays out an average of $0.92 with standard deviation of $120

A) The standard deviation is so large because, Gamblers lose a relatively small amount most of the time but there are a few large pay-outs

B) if person play 5 times, the mean of the casino's profit is

E(x) = ( 1 - $0.92) x 5

= $0.04

if person play 5 times, the standard deviation of the casino's profit is

S(3x) = √120² x 5

= $268.33

C) If gamblers play this machine 1000 times in a day, the mean is

E(x) = ( 1 - $0.92) x 1000

= $80

If gamblers play this machine 1000 times in a day, the standard deviation is

S(x) = √120² x 1000

= $3794.3

D) The casino is likely to be profitable due to the average pays out winning jackpot in slot machines occur very less in $0.29, so more people play winning jackpot in slot machines in casino, the casino will become more profitable.

8 0

3 years ago

. 7-9p≥7 or 2p - 9> 11