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kirill115 [55]
2 years ago
15

Choco Dream is a firm that produces both dark chocolates as well as liquor chocolates. During a given​ month, the firm uses its

resources to produce both varieties.​ Initially, the firm produced​ 5,000 bars of dark chocolates and​ 4,000 bars of liquor chocolates in a month. In order to increase production of the latter to​ 4,500, they had to reduce production of dark chocolates by 800 bars. When demand for liquor chocolates increased​ further, Choco Dream produced​ 5,000 bars of liquor chocolates and​ 3,200 bars of dark chocolates per month. Which of the following inferences can be drawn from the given​ information? A. Choco​ Dream's production possibilities frontier is linear. B. Both types of chocolates sold by Choco Dream are equally popular among consumers. C. Resources are equally productive in the production of both types of chocolates. D. The company is operating at one end of the PPF. E. Choco Dream faces increasing marginal opportunity cost in the production of liquor chocolates.
Mathematics
1 answer:
Daniel [21]2 years ago
3 0

Answer:

E) Choco Dream faces increasing marginal opportunity cost in the production of liquor chocolates.

Step-by-step explanation:

When Choco Dream increased their production of liquor chocolates by 500 units (to 4,500 bars per month), their opportunity was 800 units of dark chocolate. But when they needed to increase liquor chocolates by 500 more units (to 5,000 bars per month), then the opportunity cost increased to 1,000 units of dark chocolate.

That means that for the first 500 extra liquor bars, the opportunity cost = 800 dark chocolate bars / 500 liquor bars = 1.6 dark chocolate bars for every extra liquor bar.

The second increased required a higher opportunity cost = 1,000 dark chocolate bars / 500 liquor bars = 2 dark chocolate bars for every extra liquor bar.

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If he bikes for 10 miles per hour and 8 miles per hour for the same distance x miles, he went 10 miles per hour for x/10 hours, as Distance = Rate*Time and on the way back he would go for x/8 hours. So then he went 2x distance, in x/8 + x/10 hours. Since x/8 + x/10 = 10x/80 + 8x/80 = 18x/80 = 9x/40, he went 2x miles in 9x/40 hours. this can be converted into a rate with the above equation Distance = Rate*Time, so 2x=(9x/40) * Rate, thus we divide by 9x/40 on both sides to get 80x/9x = Rate, the x cancels out, and we get 80/9 Miles per hour.
4 0
2 years ago
On a coordinate plane, triangle A B C is shown. Point A is at (3, 4), point B is at (negative 5, negative 2), and point C is at
hodyreva [135]

Answer:

The perimeter of Δ ABC is 20 + 2\sqrt{10} units ⇒ Last answer

Step-by-step explanation:

The perimeter of any triangle is the sum of the lengths of its three sides

The formula of distance between two points is d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

In Δ ABC

∵ A = (3 , 4) , B = (-5 , -2) , C = (5 , -2)

∵ AB = 10 units

∵ AC = 2\sqrt{10}

- To find its perimeter find the length of BC

∵ x_{1} = -5 and y_{1} = -2

∵ x_{2} = 5 and y_{2} = -2

- By using the formula above

∴ BC=\sqrt{(5--5)^{2}+(-2--2)^{2}}=\sqrt{(5+5)^{2}+(-2+2)^{2}}

∴ BC=\sqrt{(10)^{2}+(0)^{2}}=\sqrt{100}

∴ BC = 10 units

To find the perimeter add the lengths of the three sides

∵ P = AB + BC + AC

∴ P = 10 + 10 + 2\sqrt{10}

- Add like terms

∴ P = 20 + 2\sqrt{10}

The perimeter of Δ ABC is 20 + 2\sqrt{10} units

6 0
2 years ago
Read 2 more answers
Rob is a geologist. He is surveying a conical crater that was created by a meteor impact. From one end to another, the crater fo
skelet666 [1.2K]

Answer:

  • equation: d(h) = 0.25|h -1600| -400
  • depth is 250 ft at 1000 ft and 2200 ft from the west edge

Step-by-step explanation:

The crater shape can be modeled by an absolute value function with a slope of 0.25. The vertex of the function will not be at (0, 0) but will be at (1600, -400). The usual methods of translating functions apply. Horizontal displacement of the vertex is subtracted from the independent variable; vertical displacement is added to the function value.

  d(h) = 0.25×|h -1600| -400

We know the horizontal displacement is 1600 ft, because the depth changes at a rate of 1/4 foot for each horizontal foot. A depth change of 400 feet will require 1600 horizontal feet to accomplish.

__

At a depth of 250 ft, the distance from the west edge can be found from ...

  -250 = 0.25|h -1600| -400

  150 = 0.25|h -1600| . . . . . . . . add 400

  600 = |h -1600| . . . . . . . . . . . multiply by 4

This resolves to two equations:

  • -600 = h -1600   ⇒   h = 1000
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The depth is 250 ft at distances of 1000 ft and 2200 ft from the west edge.

_____

<em>Comment on the equation</em>

We have chosen to make depths be negative numbers. If you want the equation to give positive numbers for depth, multiply it by -1:

  d = 400 -0.25×|h -1600|

7 0
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Answer:

He determined pounds per dollar by dividing 10 by 25 but wrote the unit rate as a dollar value.

Step-by-step explanation:

Given

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Required

Determine Ming's error

Ming's error is from here

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He calculated the unit rate as pound per dollar.

So, after calculating the unit rate, the unit should be:

Unit\ Rate = 0.4\ pound/\$

But instead, he solved as:

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<em>Hence, (a) is correct</em>

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2 years ago
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Answer:

141.218

Step-by-step explanation:

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2 years ago
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