All categories

3 years ago

Please help with this question

Mathematics

1 answer:

posledela3 years ago

6 0

Answer:

The maximum revenue will be $R=\$25,000$ at price $p=\$100.$

Step-by-step explanation:

Given:

$R=-2.5p^2+500p$

Find the vertex of the parabola represented by given equation:

$p_v=\dfrac{-b}{2a}=\dfrac{-500}{2\cdot (-2.5)}=\dfrac{500}{5}=100$

When $p=\$100,$ then

$R=-2.5\cdot 100^2+500\cdot 100=-2.5\cdot 10,000+50,000=-25,000+50,000=25,000$

The maximum revenue will be $R=\$25,000$ at price $p=\$100.$

You might be interested in

Write the next three terms of the arithmetic sequence. First term: 2 Common difference: 13

IRINA_888 [86]

15, 28, 41.

add the common difference to each consecutive term to find the next term in the sequence.

2+ 13= 15
15+ 13= 28
28+ 13= 41

4 0

3 years ago

1/3 to 2/3 percentage increase or decrease

Leto [7]

Answer:

increase

Step-by-step explanation:

the number got bigger

6 0

3 years ago

Read 2 more answers

Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event

mezya [45]

Answer:

The probability of Javier volunteers for less than three a month is 25%

Step-by-step explanation:

According to the questions,

The probability of Javier to attend exactly 5 events :-

P ( x = 5 ) = 25% = $\frac{1}{4}$

The probability of Javier to attend exactly 4 events :-

P ( x = 4 ) = $\frac{1}{4}$

The probability of Javier to attend exactly 3 events :-

P ( x = 3 ) = $\frac{1}{4}$

The probability of Javier to attend exactly 2 events :-

P ( x = 2 ) = $\frac{3}{20}$

The probability of Javier to attend exactly 1 events :-

P ( x = 1 ) = $\frac{1}{20}$

The probability of Javier to attend no events :-

P ( x = 0 ) = $\frac{1}{20}$

Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).

P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )

P ( x < 3 ) = $\frac{1}{20} + \frac{1}{20} + \frac{3}{20}$ $= \frac{1 + 1 + 3}{20}$ = $\frac{5}{20}$ = $\frac{1}{4}$ = 0.25 = 25 %.

8 0

3 years ago

A weather forecaster says the temperature will be about -5C “give or take” 10 degrees. What is the greatest possible temperature

bagirrra123 [75]

Minimum: -15C

Max: 5C

4 0

2 years ago

Between x = 2 and x = 3, which function has a smaller average rate of change than y = 2x ? A) y = 2 3 -x B) y = 4x - 1 C) y = 5x

xxTIMURxx [149]

The two points are (x, f(x)) and (x+h, f(x+h)). To find the slope, the definition is the change in y over the change of x. Does this sound familiar!! Applying this definition we get the following formula: and the points x1 = 2 and x2 = 4. Then in our general answer, we will replace x with x1 and h = x2 - x1. Replacing these values in the formula yields 2(2) + (4 - 2) = 4 + 2 = 6. Thus, the slope of the secant line connecting the two points of the function is 6. Now using the same function as above, find the average rate of change between x1 = -1 and x2 = -3. The answer is 2(-1) + ( -3 + 1) = -2 + -2 = -4. This means that the secant line is going downhill or decreasing as you look at it from le

6 0

2 years ago