Question

Ali Demand Quantity of Price ($) Bananas Demanded Price (s) e st Kamal Demanom Price is een on ka 10 48 6.00 5.75 5.50 30 20

Ahmed Supply Quantity of Price ($) Bananas Supplied (kg) 6.00 118 5.75 105 5.50 5.25 5.00 4.75 4.50 4.25 4.00 Waleed Supply Q

- Determine the equilibrium price and equilibrium quantity of bananas? Bonus The exact equilibrium Price and Quantity can be

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Answer #1

The total demand is the horizontal sum of each individual demand at each given price. Similarly, the supply is the horizontal sum of the each individual supply at each given price.

Price Total Demand Total Demand Total Supply Total Supply
6 25+10+48 83 118+128 246
5.75 30+20+52 102 105+118 223
5.5 35+30+56 121 93+108 201
5.25 40+40+60 140 80+98 178
5 45+50+64 159 66+88 154
4.75 50+60+68 178 53+78 131
4.5 55+70+72 197 40+68 108
4.25 60+80+76 216 27+58 85
4 65+90+80 235 14+48 62

The demand equation is: P = 7.09210526315789 - 0.0131578947368421*Q

The supply equation is: P = 3.32738153327106 + 0.0108455087900291*Q

a) It shall be noted that at equilibrium, price and quantity clears.

Pd = Ps

7.09210526315789 - 0.0131578947368421*Q = 3.32738153327106 + 0.0108455087900291*Q

0.024003*Q = 3.764724

Q=156.8412

P=5.028405

Thus equilibrium Q=156.8412 and equilibrium price P = 5.028405

Hence, equilibrium price = 5 and equilibrium quantity = 154

b)

When price = 5.40 , demand is lower than the supply

Qd = 128.6 as followed from total demand equation: P = 7.09210526315789 - 0.0131578947368421*Q

Qs=191.1038 as followed from total supply equation: P = 3.32738153327106 + 0.0108455087900291*Q

Thus, there is excess supply = 62.50385

c)

When price = 4.60 , demand is higher than the supply

Qd = 189.4 as followed from total demand equation: P = 7.09210526315789 - 0.0131578947368421*Q

Qs=117.3406 as followed from total supply equation: P = 3.32738153327106 + 0.0108455087900291*Q

Thus, there is excess demand= 72.0594

Total Demand vs Total Supply Price Total Demand Total Supply 83 5.75 1021 5.5 121 5.251 140 1591 178 197 2161 4 235 4 75 1.25

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