MATHEMATICS COLLEGE

A manufacturer has a monthly fixed cost of $750 and a production cost of $15 for each item x that is produced. The product sells for $37 per item.Write the equation of the total cost function, C(x), in terms of x.
Write the equation of the total revenue function, R(x), in terms of x.
Write the equation of the profit function, P(x), in terms of x. Simplify P(x) completely.

Answers

Answer 1

Answer:

Answer:

The cost function is C(x) = 14x + 100000,

the revenue function is R(x) = 20x,

the profit function is P(x) = R(x) − C(x) = 20x − 14x − 100000 = 6x − 100000.

Step-by-step explanation:

Related Questions

When a number is increased by 26, the result is tripled. Then the result is increased by 72. If the final result is 1/2 of the number, what is the value of this number?
N<2^2. mathematical induction
Kristl has saved 30%of her tuition fordance class. Sheneeds to have $600save. How much hasshe saved so far?
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Solve the equation using a graphical method.
t/3-1/2=t+3/9

Answers

Answer:

-1.25

Step-by-step explanation:

t÷3-1÷2 = t÷1+3÷9

2t-3÷6 = 9t+3=9

18t - 27 = 54 + 18

18t -54t = 18 + 27

-36t = 45

Divide through by -36

t = -1.25

A beluga whale is 5 yards and 3 inches long, and a gray whale is 15 yards and 5 inches long. What is the difference in length between the two whales?

Answers

Answer:

Difference in length between two whales is 362 inches or 10 yards and 2 inches.

Step-by-step explanation:

Lets convert the values to inches:

1 yard = 36 inches

Length of a beluga whale in inches:

5 yards = $5*36$ inches = $180$ inches

Therefore total length of a beluga whale = 180 inches + 3 inches

=183 inches

Length of a gray whale in inches:

15 yards = $15*36$ inches = $540$ inches

Therefore total length of a beluga whale = 540 inches + 5 inches

=545 inches

Difference in length between two whales = 545 inches - 183 inches

= 362 inches

To represent this in yards and inches we can divide the value by 36.

$(362)/(36) =10.06$ yards

=10 yards and 2 inches

Difference in length between two whales is 10 yards and 2 inches.

Writing Describe another methodfor solving the expression in
Exercise 1. Does this method always
work? Explain.

Answers

Answer: pontos livres

Step-by-step explanation:

o cachorrinho wwss veyry rápido

Determine which of the sets of vectors is linearly independent. A: The set where p 1(t) = 1, p 2(t) = t 2, p 3(t) = 1 + 5t B: The set where p 1(t) = t, p 2(t) = t 2, p 3(t) = 2t + 5t 2 C: The set where p 1(t) = 1, p 2(t) = t 2, p 3(t) = 1 + 5t + t 2 A and C C only B only A only all of them

Answers

Answer:

(A)A and C

Step-by-step explanation:

In each case, represent each of the $p_i$ as a column vector where each row corresponds to the constant term, coefficient of t and $t^2$ respectively.

A= The set where $p_1(t)=1$ $p_2(t)=t^2$ $p_3(t)=1+5t$

$A=\left[\begin{array}{ccc}1&0&1\n0&0&5\n0&1&0\end{array}\right]$

$|A|=\left|\begin{array}{ccc}1&0&1\n0&0&5\n0&1&0\end{array}\right|=-5$

B: The set where $p_1(t)=t, p_2(t)=t^2, p_3(t)=2t+5t^2$

$B=\left[\begin{array}{ccc}0&0&0\n1&0&2\n0&1&5\end{array}\right]\n|B|=0$

C: The set where $p_1(t)=1, p_2(t)=t^2, p_3(t)=1+5t+t^2$

$C=\left[\begin{array}{ccc}1&0&1\n0&0&5\n0&1&1\end{array}\right]\n|C|=-5$

Since the determinants of A and C are not 0, the set of vectors in A and C are linearly independent.

Kareem says that the ratio 4 : 1 is equivalent to the ratio 12 : 9 because 4 1 8 5 12 and 1 1 8 5 9. Is Kareem correct? Explain how you know.

Answers

4 : 1 and 12 : 9 are not equivalent

Kareem is wrong

Correct question:

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because

4 + 8 = 12 and 1 + 8 = 9. Is Kareem correct? Explain how you know

4 : 1 is in its simplest form already

12 : 9

= 12/9

= 4/3

= 4 : 3

Therefore,

4 : 1 and 12 : 9 are not equivalent

Kareem is wrong based on his assumption that 4 + 8 = 12 and 1 + 8 = 9

brainly.com/question/17352744

$\bf Step-by-step~explanation:$

Kareem's statement: 4:1 is equal to 12:9. Let's see if this is correct.

$\bf Step ~1:$

We have to simplify the ratios. Since 4:1 is already simplified, we do not have to do anything with it. 12:9 could be simplified. To do so, we need to find the greatest common factor (GCF) of both numbers. The GCF of 12 and 9 is 3. Since 3 is the GCF for both numbers, we divide them by 3.

$\bf 12 /3=4\n9/3=3$