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Anastaziya [24]
3 years ago
15

The formulas below are the cost and revenue functions for a company that manufactures and sells small radios. a. Use the formula

s shown to write the company's profit function, P, from producing and selling x radios. b. Find the company's profit if 21,000 radios are produced and sold C(x) 224,000+32x and R(x) 46x a. The company's profit function is P(x)-(Simplify your answer.)
Mathematics
1 answer:
Rus_ich [418]3 years ago
6 0

Answer:

a) P(x)=14x-224,000 and b) P(21,000)=70,000.

Step-by-step explanation:

a.) Use the formulas shown to write the company's profit function, P, from producing and selling x radios.

The company's profit is given by its revenue minus the production cost. Then, the profit function P(x) will be given by

  1. P(x)=R(x)-C(x)=46x-(224,000+32x)=14x-224,000.

b.) Find the company's profit if 21,000 radios are produced and sold

To obtain the company's profit we just need to substitute the value given (x=21,000) in the formula 1). Therefore,

P(21,000)=R(21,000)-C(21,000)=14(21,000)-224,000=70,000.

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The decimal point should be placed after the 0 in 45780.

Step-by-step explanation:

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2 years ago
Your manufacturing company sells metal nuts and bolts that come together in a package. The diameter of the bolts coming off the
Reil [10]

Answer:

The z score for bolt of diameter 18.12 mm is 1.20.

Step-by-step explanation:

Let <em>X</em> = diameter of bolts.

It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.

A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.

The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.

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The formula to compute the <em>z</em>-score is:

z=\frac{x-\mu}{\sigma}

The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.

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Thus, the z score for bolt of diameter 18.12 mm is 1.20.

5 0
3 years ago
Which ordered pairs in the form (x, y) are solutions to the equation 3x – 4y = 21? Choose all answers that are correct.
bekas [8.4K]
A. (−3, 3)
<span>3x – 4y = 21
</span>3(-3) - 4(3) = 21
-21 = 21 >>>>> not equal

B. (−1, −6)
<span>3(-1) - 4(-6) = 21
</span>21 = 21 >>>>>>>>>>Equal

C. (7, 0)
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D. (11, 3)
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5 0
3 years ago
Read 2 more answers
22. Find the perimeter and area.
zmey [24]

Answer:

Part 22) The area is A=15a^3b^6\ units^2( and the perimeter is P=10a^2b^4+6ab^2\ unit

Part 24) The area is A=16m^3n\ units^2 and the perimeter is P=24mn\ units    

Part 26) The area is equal to A=9\pi x^6y^{2}\ units^2

Step-by-step explanation:

Part 22) Find the perimeter and area

step 1

The area of a rectangle is equal to

A=LW

we have

L=5(a^2)(b^4)\ units

W=3(a)(b^2)\ units

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute in the formula

A=(5(a^2)(b^4))(3(a)(b^2))

A=15a^3b^6\ units^2

step 2

The perimeter of a rectangle is equal to

P=2(L+W)

we have

L=5(a^2)(b^4)\ units

W=3(a)(b^2)\ units  

substitute in the formula

P=2(5(a^2)(b^4)+3(a)(b^2))

P=10a^2b^4+6ab^2\ unit

Part 24) Find the perimeter and area

step 1

The area of triangle is equal to

A=\frac{1}{2}bh

where

b=8mn\ units

h=4m^2\ units

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute the given values

A=\frac{1}{2}(8mn)(4m^2)

A=16m^3n\ units^2

step 2

Find the perimeter

I will assume that is an equilateral triangle (has three equal length sides)

The perimeter of an equilateral triangle is

P=3b

where

b=8mn\ units

substitute

P=3(8mn)

P=24mn\ units

Part 26) Find the area

The area of a circle is equal to

A=\pi r^{2}

where

r=3x^3y\ units

Remember the property

(a^{m})^{n}=a^{m*n}

substitute in the formula the given value

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guapka [62]

Answer:

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Step-by-step explanation:

Hopes this helps

5 0
3 years ago
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