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3 years ago

The profit function of a manufacturer, in dollars, when x units of a certain commodity are produced and sold is given by

Mathematics

1 answer:

Annette [7]3 years ago

4 0

Answer:

Derivative: P’(x) = 200 - 2x

If P’(x) = 0 , x = 100

Therefore P’ is positive and P increases until x = 100

So the maximum units to maximize profits is 100 units

And for 100 units the profit in dollar is:

20000 - 10000 = 10000

10000 dollars

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When a softball player gets a hit, it can be a single, double, triple, or home run. When Josephine is at bat, the probability th

sergiy2304 [10]

The key word here is "or". If it's an OR question, you add the probabilities together. If it says "and", you multiply them together
As it is an OR question though, you add them.
So:
15 + 5 = 20%

5 0

3 years ago

Read 2 more answers

The amount of trout y (in tons) caught in a lake from 1995 to 2014 can be modeled by the equation y = -0.08x2 + 1.6x + 10, where

Lapatulllka [165]

For this case, the first thing we want to do is substitute the value of y = 15 in the equation.
We have then:
15 = -0.08x ^ 2 + 1.6x + 10
Rewriting we have:
0 = -0.08x ^ 2 + 1.6x + 10 - 15
0 = -0.08x ^ 2 + 1.6x - 5
The solutions are:
x1 = 3.876275643042054
x2 = 16.123724356957947
Nearest whole number:
x1 = 4
x2 = 16
were about 15 tons of trout caught in the lake in the years:
1995 + 4 = 1999
1995 + 16 = 2011
Answer:
The year 1999 and the year 2011

3 0

2 years ago

What is the converse of t > r

Anettt [7]

The converse of t > r is r > t

<h3>What is a converse statement?</h3>

A converse statement is determined when both the hypothesis and conclusion are reversed or interchanged.

In this condition, the hypothesis is written as the conclusion and the conclusion is changed to be the hypothesis.

If a conditional statement is written as: x → y

The converse is then written as y → x

Where;

x is the hypothesis
y is the conclusion

Given the expression as;

t > r

We can see that;

The variable 't' is the hypothesis
The variable 'r' is the conclusion

The converse will be;

r > t

Hence, the converse is r > t

Learn more about converse statement here:

brainly.com/question/3965750

#SPJ1

6 0

1 year ago

last year 1/5 of the students in your class played a sport this year 10 students join the class five of the new students play a

tino4ka555 [31]

Answer:

Step-by-step explanation:

last year 1/5 of the class played sports, so s = (1/5) c

the next year, s increased by 5, c increased by 10 and the fraction changed to 1/4, so for the next year (s+5) = (1/4)(c+10)

To solve this we can substitute s = (1/5)c from the first equation into the second, so

((1/5)c + 5)=(1/4)(c+10), simplify both sides

(1/5)c + 5 = (1/4)c + 10/4, simplify 10/4 to 5/2

(1/5)c + 5 = (1/4)c + 5/2, multiply both sides by 20 to eliminate fractions (least common multiple of 2, 4 and 5)

4c + 100 = 5c + 50, subtract 4c, subtract 50 from both sides

50 = c, number of students in class last year was 50, this year is 10 more, so this year is 60

5 0

2 years ago

What's is the converse of the statement?If x is odd, then 2x is even.

dsp73

If you have two statements p and q and $p\Rightarrow q$ is true, then $\neg q\Rightarrow \neg p$ is also true.

In your case, statements are p - "x is odd" and q - "2x is even".

Then $\neg p$ - "x is not odd" and $\neg q$ - "2x is not even."

Hence $\neg q\Rightarrow \neg p$ sounds as: "If 2x is not even, then x is not odd".
Answer: correct choice is D.

7 0

3 years ago