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Helga [31]
3 years ago
8

Suppose that the quantity supplied S and quantity demanded D of​ T-shirts at a concert are given by the following functions wher

e p is the price.
S(p)=−200+40p
D (p )=1150-50 p.
a. Find the equilibrium price for the​ T-shirts at this concert. The equilibrium price is
b. Determine the prices for which quantity demanded is greater than quantity supplied.
c. What will eventually happen to the price of the​ T-shirts if the quantity demanded is greater than the quantity​ supplied?
Mathematics
1 answer:
harkovskaia [24]3 years ago
7 0

Answer:

Step-by-step explanation:

The demand function is expressed as

D(p )=1150-50p

The supply function is expressed as S(p)=−200 + 40p

Where

p represents the price

A) The equilibrium price is the price at which the quantity supplied and the quantity demanded would be equal. Therefore

1150 - 50p = - 200 + 40p

40p + 50p = 1150 + 200

90p = 1350

p = 1350/90

p = 15

The equilibrium price is $15

b) For quantity demanded to be greater than quantity supplied, the price would be

1150 - 50p > - 200 + 40p

40p + 50p > 1150 + 200

90p > 1350

p > 1350/90

p > 15

The price would be greater than 15

c) if the quantity demanded is greater than the quantity​ supplied, the prices of the T shirt would increase.

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Nana76 [90]

I'm here buddy,

so, let's take the value of the two bags with equal weight as x.

=     x + x + (x + \frac{6}{5}) = \frac{27}{4}

=     3x + \frac{6}{5} = \frac{27}{4}

=     3x = \frac{27}{4} - \frac{6}{5}

( let's take the LCM of 4 and 5 = 20

=     3x = \frac{135}{20} - \frac{24}{20}

=     3x = \frac{111}{20}

=       x = \frac{111}{20} ÷ \frac{3}{1} = \frac{111}{20} × \frac{1}{3} = \frac{37}{20}

So, the weight of the equal bags are \frac{37}{20} and the weight of the third bag ( heavy one ) is \frac{37}{20} + \frac{6}{5} = \frac{37}{20} + \frac{24}{20} = \frac{61}{20}

1st bag =     \frac{37}{20} kg

2nd bag =  \frac{37}{20} kg

3rd bag =   \frac{61}{20} kg

Hope it helps...

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Inez Walks 1.85 mi in 45 minutes , how many miles can she walk in 1 hour?
insens350 [35]

Answer:

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Step-by-step explanation:

We can write a proportion to solve this problem.  Write the number of miles on top and the time  in minutes on the bottom.  We know 1 hour is 60 minutes.

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Answer: I think it is 10364 or 10248 because when i put it in a calculator I got 8803.4 or 10296

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