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stepan [7]
1 year ago
12

Assume the demand for widgets is linear. Suppose we know the demand is = 100 widgets when the price is = $3 per widget but the d

emand DECREASES by 20 widgets for EVERY $1 increase in price.
(a) Find an expression for the demand function. (Hint: This means write = () = + .)

(b) Use the demand equation to express the revenue as a function of . (Hint: () = ⋅ AND you have in terms of from part (a))

(d) Assume the cost function is given by () = 2 + 100. Find an expression for the profit function ().

(e) Use the profit function to find the break-even quantity. Are there multiple in this case?
Mathematics
1 answer:
jek_recluse [69]1 year ago
8 0

hi guys pls friend me i need freinds pls

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X<br>ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
frosja888 [35]

Answer:

Ghww wt

Step-by-step explanation:

6h8d dgs gc

5 0
3 years ago
Is the proportion A, B, D, or D?
Oksanka [162]

Answer:

C.)

Step-by-step explanation:

4/20=8/x

3 0
3 years ago
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.
Vera_Pavlovna [14]

Split up the integration interval into 4 subintervals:

\left[0,\dfrac\pi8\right],\left[\dfrac\pi8,\dfrac\pi4\right],\left[\dfrac\pi4,\dfrac{3\pi}8\right],\left[\dfrac{3\pi}8,\dfrac\pi2\right]

The left and right endpoints of the i-th subinterval, respectively, are

\ell_i=\dfrac{i-1}4\left(\dfrac\pi2-0\right)=\dfrac{(i-1)\pi}8

r_i=\dfrac i4\left(\dfrac\pi2-0\right)=\dfrac{i\pi}8

for 1\le i\le4, and the respective midpoints are

m_i=\dfrac{\ell_i+r_i}2=\dfrac{(2i-1)\pi}8

  • Trapezoidal rule

We approximate the (signed) area under the curve over each subinterval by

T_i=\dfrac{f(\ell_i)+f(r_i)}2(\ell_i-r_i)

so that

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4T_i\approx\boxed{3.038078}

  • Midpoint rule

We approximate the area for each subinterval by

M_i=f(m_i)(\ell_i-r_i)

so that

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4M_i\approx\boxed{2.981137}

  • Simpson's rule

We first interpolate the integrand over each subinterval by a quadratic polynomial p_i(x), where

p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_i)}

so that

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx

It so happens that the integral of p_i(x) reduces nicely to the form you're probably more familiar with,

S_i=\displaystyle\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx=\frac{r_i-\ell_i}6(f(\ell_i)+4f(m_i)+f(r_i))

Then the integral is approximately

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4S_i\approx\boxed{3.000117}

Compare these to the actual value of the integral, 3. I've included plots of the approximations below.

3 0
3 years ago
Use 3.14 for π<br> Please help if you can!<br> Any help is appreciated!
Alex777 [14]

Answer:

The answer to your question is 23.42 ft

Step-by-step explanation:

Data

base = 6 ft

height = 4 ft

Process

1.- Calculate the length of the rectangle. Only consider the base and the left and right sides.

Length = 6 + 4 + 4

Length = 14 ft

2.- Calculate the Perimeter of the semicircle

Formula

Perimeter = 2πr/2 = πr

-Calculate the radius

radius = 6/2 = 3 ft

-Find the perimeter

Perimeter = 2(3.14)(3)/2

-Result

Perimeter = 9.42 ft

3.- Calculate the perimeter of the window

Perimeter = 14 + 9.42

                 = 23.42 ft

3 0
3 years ago
Pythagoream theorem <br> a=18 b=26 c=?
Arisa [49]
A^2 + b^2 = c^2
18^2 + 26^2 = c^2
324 + 676 = c^2
1000 = c^2
sqrt 1000 = c
31.62 = c
5 0
3 years ago
Read 2 more answers
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