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2 years ago

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In a certain kingdom, the demand function for rye bread was q = 381 − 3p and the supply function was q = 5 + 7p, where p is the

price in zlotys and q is loaves of bread. The king made it illegal to sell rye bread for a price above 32 zlotys per loaf. To avoid shortages, he agreed to pay bakers enough of a subsidy for each loaf of bread so as to make supply equal demand. How much would the subsidy per loaf have to be?

1 answer:

beks73 [17]2 years ago

8 0

Answer:

8 zlotys

Step-by-step explanation:

At Z32 per loaf, the demand will be ...

q = 381 -3(32) = 285 . . . . loaves

In order to produce 285 loaves, bakers must enjoy a price of ...

285 = 5 +7p

280/7 = p = 40 . . . . . zlotys per loaf

Since the loaves are sold for Z32, and bakers are expecting to be paid Z40, the subsidy they receive must be ...

Z40 -Z32 = Z8

The subsidy per loaf would have to be 8 zlotys.

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The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard dev

Nataliya [291]

Answer:

(a) Probability that a sheet selected at random from the population is between 30.25 and 30.65 inches long = 0.15716

(b) Probability that a standard normal random variable will be between .3 and 3.2 = 0.3814

Step-by-step explanation:

We are given that the population of lengths of aluminum-coated steel sheets is normally distributed with;

Mean, $\mu$ = 30.05 inches and Standard deviation, $\sigma$ = 0.2 inches

Let X = A sheet selected at random from the population

Here, the standard normal formula is ;

Z = $\frac{X - \mu}{\sigma}$ ~ N(0,1)

(a) <em>The Probability that a sheet selected at random from the population is between 30.25 and 30.65 inches long = P(30.25 < X < 30.65) </em>

P(30.25 < X < 30.65) = P(X < 30.65) - P(X <= 30.25)

P(X < 30.65) = P( $\frac{X - \mu}{\sigma}$ < $\frac{30.65 - 30.05}{0.2}$ ) = P(Z < 3) = 1 - P(Z >= 3) = 1 - 0.001425

= 0.9985

P(X <= 30.25) = P( $\frac{X - \mu}{\sigma}$ <= $\frac{30.25 - 30.05}{0.2}$ ) = P(Z <= 1) = 0.84134

Therefore, P(30.25 < X < 30.65) = 0.9985 - 0.84134 = 0.15716 .

(b)<em> Let Y = Standard Normal Variable is given by N(0,1) </em>

<em> Which means mean of Y = 0 and standard deviation of Y = 1</em>

So, Probability that a standard normal random variable will be between 0.3 and 3.2 = P(0.3 < Y < 3.2) = P(Y < 3.2) - P(Y <= 0.3)

P(Y < 3.2) = P( $\frac{Y - \mu}{\sigma}$ < $\frac{3.2 - 0}{1}$ ) = P(Z < 3.2) = 1 - P(Z >= 3.2) = 1 - 0.000688

= 0.99931

P(Y <= 0.3) = P( $\frac{Y - \mu}{\sigma}$ <= $\frac{0.3 - 0}{1}$ ) = P(Z <= 0.3) = 0.61791

Therefore, P(0.3 < Y < 3.2) = 0.99931 - 0.61791 = 0.3814 .

3 0

2 years ago

Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$

4 0

2 years ago

Read 2 more answers

In the xy plane, a quadrilateral has vertices at (-1, 4), (7,4), (7,5), and (-1. 5). What is the perimeter of the quadrilateral?

iris [78.8K]

Answer:

(B) 18.

Step-by-step explanation:

We are asked to find the perimeter of a quadrilateral with vertices at (-1, 4), (7,4), (7,5), and (-1. 5).

First of all, we will draw vertices of quadrilateral on coordinate plane and connect the vertices as shown in the attached photo.

We can see that our quadrilateral is a parallelogram, whose parallel sides are equal.

$\text{Perimeter of quadrilateral}=8+1+8+1$

$\text{Perimeter of quadrilateral}=16+2$

$\text{Perimeter of quadrilateral}=18$

Therefore, the perimeter of the given quadrilateral is 18 units.

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2 years ago

For every 6kg a child's weight, pediatricians prescribe 17mg of acetaminophen. If Lexie weighs 48 kg, how many milligrams of the

Finger [1]

The answer will be 136mg
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8*17=136mg

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2 years ago

Rachel lives in a home with a value of $195,000 and has a mortgage of $160,000. She has electronic equipment worth $2,325. She i

Elan Coil [88]

To Find :

Net worth of Rachel.

Solution :

Net worth is given by the (sum of all the assets she owns) -( total amount of loans she have ).

$Net \ Worth=( 195000+160000+2325+9300+1437+1200)-(875+4800)\\\\Net \ Worth=\$\ 363587$

Therefore, net worth of Rachel is $ 363587.

Hence, this is the required solution.

4 0

1 year ago