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jeka94
3 years ago
10

The table below shows the total cost (TC) and marginal cost (MC) for Choco Lovers, a monopolistic firm producing different quant

ities
of chocolate gift boxes. Fill in the blanks in the table.

Mathematics
1 answer:
goblinko [34]3 years ago
4 0

Answer:

  Spreadsheet values

  • B3 = $15 (shown)
  • C4 = $420 (shown)
  • D6 = $272.5
  • E4 = $6
  • F2 = $16
  • F6 = $5

  Other values

  • profit maximizing Q: 35
  • profit maximizing P: $13
  • maximum profit: $227.5

Step-by-step explanation:

Labeling the columns of the spreadsheet A--F, and the rows 1--7, we want to find the values as follows.

a) The relationship between quantity, price, and revenue is ...

  total revenue = quantity × price

  price = (total revenue)/quantity

Then ...

  • B3 = 375/25 = 15 (as shown)
  • C4 = 30×14 = 420 (as shown)

__

b) The relationship between total cost and marginal cost is ...

  mc2 = (tc2 -tc1)/(q2 -q1)

  tc2 = (mc2)(q2 -q1) +tc1

Then ...

  • D6 = 9(40 -35) +227.5 = 272.5
  • E4 = (192.5 -162.5)/(30 -25) = 6

__

c) Marginal revenue is figured the same way as marginal cost.

  mr2 = (r2 -r1)/(q2 -q1)

Then ...

  • F2 = (320 -0)/(20 -0) = 16
  • F6 = (480 -455)/(40 -35) = 5

__

d) The quantity maximizing profit will be the quantity such that marginal revenue is equal to marginal cost. That is, marginal profit is zero. That quantity  is 35, where both marginal cost and marginal revenue are 7.

__

e) The price at a quantity of 35 is 13. This value is read from the given table.

__

f) The maximum profit is the difference between revenue and cost at the profit-maximizing quantity:

  maximum profit = 455 -227.5 = 227.5

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Answer:

we know that the initial price of the house is $190,000.

We also know that the expected increase is 1.8%, this means that the year zero we have no increase; the price is $190,000.

one year after we have an increase of the 1.8% (or 0.018 in decimal form), this means that the new price is:

$190,000 + $190,000*0.018 = $190,000*(1.018)

another year after, we have:

$190,000*(1.018)*(1.018) = $190,000*(1.018)^2

and etc

The function that models the price as a function of the years, represented as y, is:

P(y) = $190,000*(1.018)^y

If we want to know the price in 5 years, we need to replace y = 5 in the equation:

p(5) = $190,000*(1.018)^5 = $207,726.80

Step-by-step explanation:

hope this helps you

3 0
3 years ago
What is the answer for <br> -16+x=-15
Sladkaya [172]

Answer:

x=1

Step-by-step explanation:

-16+x=-15

-16+x+16=-15+16   Add the terms to both sides of the equation.

After that you simplify.

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3 years ago
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I need help, pls and thx
Sauron [17]

The solutions for the quadratic equation are given as follows:

x = -1, x = 7/5

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

  • x_1 = \frac{-b + \sqrt{\Delta}}{2a}
  • x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

For this problem, the equation is:

5x² - 2x - 7 = 0.

Hence the coefficients are a = 5, b = -2 and c = -7, and then the solutions are found as follows:

  • \Delta = (-2)^2 - 4(5)(7) = 144
  • x_1 = \frac{2 + \sqrt{144}}{10} = \frac{7}{5}
  • x_2 = \frac{2 - \sqrt{144}}{10} = -1

The solutions are:

x = -1, x = 7/5

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

7 0
2 years ago
If h (x) = {(-2,3), (0,4), (1,6), (2, 9)}<br><br> then what set of values represent h-1 (x) ?
vfiekz [6]

Answer:

h^{-1}(x)=\{(3,-2),(4,0),(6,1),(9,2)\}

Step-by-step explanation:

Given: h(x)=\{(-2,3),(0,4),(1,6),(2,9)\}

To find: h^{-1}(x)

Solution:

A relation is said to be a function if each and every element of the domain has a unique image in the co-domain.

Inverse of a function exist if it is both one to one and onto.

h(x)=\{(-2,3),(0,4),(1,6),(2,9)\}

h^{-1}(x)=\{(3,-2),(4,0),(6,1),(9,2)\}

7 0
2 years ago
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