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xenn [34]
3 years ago
11

Carol successfully increases her business to 200 customers per day. However, her total cost for doing so is 50% greater than the

expected $1,600. What percent greater is the actual marginal cost than the expected marginal cost, to the nearest full percent?
Mathematics
1 answer:
kramer3 years ago
5 0

Carol's Steakhouse, the total cost of serving 150 customers per day is $900. Carol is interested in increasing her business, but is concerned about the effect on marginal cost.

Carol successfully increases her business to 200 customers per day. However, her total cost for doing so is 50% greater than the expected $1,600. What percent greater is the actual marginal cost than the expected marginal cost, to the nearest full perc

Answer:

214

Step-by-step explanation:

We have been given

C1 = $900

Q1 = 259

Then c2 = $1600

Q2 = 200

M = 1600-900/50

= 14

For real,

C1 = 900

C2 = 2400

Q1 = 150

Q2 = 50

1500/50 = 30

30/14 x 100

= 214

It is greater by 214 percent

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Bakery has bought 250 pounds of muffin dough. They want to make waffles or muffins in half-dozen packs out of it. Half a dozen o
Alexus [3.1K]

Answer:

250 batches of muffins and 0 waffles.

Step-by-step explanation:

-1

If we denote the number of batches of muffins as "a" and the number of batches of waffles as "b," we are then supposed to maximize the profit function

P = 2a + 1.5b

subject to the following constraints: a>=0, b>=0, a + (3/4)b <= 250, and 3a + 6b <= 1200. The third constraint can be rewritten as 4a + 3b <= 1000.

Use the simplex method on these coefficients, and you should find the maximum profit to be $500 when a = 250 and b = 0. So, make 250 batches of muffins, no waffles.

You use up all the dough, have 450 minutes left, and have $500 profit, the maximum amount.

6 0
3 years ago
For the formula F = 95K – 455.67, what is the value of K when F = 0?
Inessa [10]

Answer:

<em>K = 4.8</em>

Step-by-step explanation:

<u>Equation Solving</u>

We are given the equation:

F = 95K - 455.67

We are required to find the value of K when F=0:

95K - 455.67 = 0

Adding 455.67:

95K = 455.67

Dividing by 95;

K = 4.8

4 0
3 years ago
Despite booming new car sales with their cha-ching
Elena-2011 [213]

Answer to the 1st question: 8 years

Answer to the 2nd question: The year 2022

=======================================================

Further explanation:

x = number of years after 2008

y = average price of a new car

The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.

The y intercept is b = 30100 as this is the price in 2008.

This leads us to go from y = mx+b to y = 1250x+30100

Plug in x = 0 and you should get y = 30100.

Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.

-----------------

Next, we plug in y = 47600 and solve for x.

y = 1250x+30100

47600 = 1250x+30100

47600-30100 = 1250x

17500 = 1250x

1250x = 17500

x = 17500/1250

x = 14

This means 14 years after the year 2008 is when the average new car price will be $47,600.

2008+14 = 2022

2022-2014 = 8

Therefore, <u>8 years</u> after 2014 (aka the <u>the year 2022</u>) is when the new car average price will be $47,600.

6 0
2 years ago
In science and engineering, radians are much more convenient and common than degrees. what is the degree value for one radian ?
sveticcg [70]

Answer:

57.3

Step-by-step explanation:

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4 0
2 years ago
Find the exact circumference of a circle with the given radius. 5 inches C = 2.5 in. 10 in. 25 in.
notsponge [240]
If the given radius is 5 inches, then the circumference, C is 2pi r, or 2pi(5 inches) = 10pi inches.  You MUST include pi in your calculation of C.
8 0
3 years ago
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