At $ 0.49 per​ bushel, the daily supply for wheat is 409 ​bushels, and the daily demand is 589 bushels. When the price is raised to $ 0.85 per​ bushel, the daily supply increases to 529 ​bushels, and the daily demand decreases to 229 bushels. Assume that the​ price-supply and​ price-demand equations are linear.(A) Find the supply equation.
(B) Find the demand equation.
(C) Find the equilibrium price and quantity

Answers

Answer 1
Answer:

Answer:

(A) Find the supply equation.

Qs = 245.67 + 333.33Ps

(B) Find the demand equation.

Qd = 1079 - 1000Pd

(C) Find the equilibrium price and quantity

Price P = $0.625

Quantity Q = 454 bushels

Step-by-step explanation:

The demand equation is of the form;

Q = a - bP

The supply equation is of the form;

Q = c + eP

We need to determine the values of a,b,c,d;

At $ 0.49 per​ bushel, the daily supply for wheat is 409 ​bushels, and the daily demand is 589 bushels

589 = a - b(0.49) ........1

409 = c + e(0.49) .........2

When the price is raised to $ 0.85 per​ bushel, the daily supply increases to 529 ​bushels, and the daily demand decreases to 229 bushels;

229 = a - b(0.85) ........3

529 = c + e(0.85). .......4

Subtract equation 3 from 1

589-229 = b(0.85) - b(0.49)

360 = b(0.36)

b = 360÷0.36

b = 1000

Using equation 1

589 = a - 1000(0.49)

a = 589+490 = 1079

Subtract equation 2 from 4

529-409= e(0.85) - e(0.49)

120 = 0.36e

e = 120/0.36

e = 333.33

Using equation 2

409 = c + 333.33(0.49)

c = 409 - 333.33(0.49)

c = 245.67

Therefore the demand equation is;

Qd = 1079 - 1000Pd

The supply equation is ;

Qs = 245.67 + 333.33Ps

The equilibrium price is at Qs = Qd and Ps = Pd

1079-1000P = 245.67 +333.33P

P = (1079-245.67)/(1000+333.33)

P = $0.625

Qd = 1079 - 1000(0.625)

Qs = Qd = 454


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The value of 33 + 42 = .

Answers

Answer:

75

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

 33

+42

 75

What is the point on the unit circle for the angle below?

Answers

Answer:

xcvbnm

Step-by-step explanation:

n

Kiran says that -2<-5. Do you agree with Kiran? Explain or show your reasoning.

Answers

Answer:

No I do not agree. -2 is closer to 0 than -5

Step-by-step explanation:

-5 -----------> -2---------> 0

Subtract breaking apart 143-79

Answers

Step-by-step explanation:

A two-digit number, such as 79, contains a tens place and a ones place.

That is because 79 is also equal to 70 + 9.

The tens place is thus the 7, since since 7 × 10 = 70

and the ones place is the 9.

So lets Subtract breaking apart 143 - 79.

Break 79 down into its parts:

70 + 9.

Subtract 70 from the original number:

143 - 70 = 73

Subtract 9 from the answer:

73 - 9 = 64

Therefore, 64 is the final answer.

LAST QUESTION ON MY TOPIC!!! PLEASEGoran drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours. When Goran drove home, there was no traffic and the trip only took 8 hours. If his average rate was 20 miles per hour faster on the trip home, how far away does Goran live from the mountains?

Do not do any rounding.

Answers

Givens

Slower car

r = r

t = 12 hours

d = ?

Faster car

r = r + 20

t = 8 hours

d = ?

It doesn't matter what the exact distance is. You just have to know that the 2 distances are equal ie going to the mountains from his home is the same distance as going from the mountains to his home.

d = r * t

r * 12 hours = (r + 20)* 8 hours.   Remove the brackets on the right

r*12 = 8r + 20*8

r*12 = 8*r + 160

r*12 - 8r = 8r - 8r + 160

4r = 160

r = 40 miles / hour

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

Slower Ride determines the distance.

d = r*t

d = 40 * 12

d = 480

Check

Use the faster rate (r + 20) = 40 + 20 = 60 mph

60 * 8 = 480. Both distances work out to be the same.

-189=4x-3(-4+15) WHAT IS THE ANSWER TO THIS PROBLEM?

Answers

Answer:

4/15

Step-by-step explanation:

Answer: x= -39

Step-by-step explanation: Let's solve your equation step-by-step.

189

=

4

x

3

(

4

+

15

)

Step 1: Simplify both sides of the equation.

189

=

4

x

3

(

4

+

15

)

189

=

4

x

+

33

189

=

4

x

33

Step 2: Flip the equation.

4

x

33

=

189

Step 3: Add 33 to both sides.

4

x

33

+

33

=

189

+

33

4

x

=

156

Step 4: Divide both sides by 4.

4

x

4

=

156

4

x

=

39