a) The equilibrium price "=100" and equilibrium quantity "=1000". The law of demand with all factors held constant has a negative relationship between price and quantity demanded. When price falls from $140 to $40, quantity demanded will rise from 500 to 1,750.
Yes, the law of supply also holds, since there is a positive relationship between price and quantity supplied. When price fall from $140 to $40, quantity supplied falls from 1500 to 300
b) When
"p=\\$40, There\\ is\\ a\\ shortage\\ as\\ Q_d>Q_s\\\\\nShortage=\\ Q_d-Q_s=1,750-300=1,450\\ cups\\\\\nWhen\\ p=\\$120,\\ there\\ is\\ surplus\\ as\\ Q_d<Q_s\\\\\nSurplus=Q_s-Q_d=1,200-750=450\\ cups"
c) Frozen yogurt and ice cream are substitute goods. Therefore, a decrease in price of frozen yogurt will lead to a decrease in demand for ice cream. Due to this, the demand curve will shift to the left, which is a cross price elasticity of demand.
This is depicted in the graph below.
d) Decrease in price of milk will lead to an increase in supply of milk. Since milk is an input for ice cream, the supply curve will shift to the right as shown below.
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