1. D. $43.75
Reason-
Supply= P=10+4Q
Demand =P=185-10Q
Equilibrium Price and Quantity=
10+4Q=185-10Q
14Q=175
Q*=12.5
P*= $60
Price Ceiling= $50
Supply at $50, 50=10+4Q
Q=10
Price paid by consumers at Q=10
P=185-10(10)
P=$85
Deadweight loss= 0.5*(85-50)*(12.5-10)=$43.75
2. D. 4.2
Reason-
Demand curve= P=254-30Q
Total revenue= P*Q= (254-30Q)*Q= 254Q-30Q^2
To find the quantity where total revenue will be maximized, differentiate TR and equate it to zero.
dTR/dQ= 254-60Q=0
Q=4.2
3.A. $366.94, 11.898
Reason-
Demand curve= P=593-19Q
TR= P*Q= 593Q-19Q^2
MR= dTR/dQ= 593-38Q
MC=10+11Q
Monopoly produces where MC= MR
593-38Q=10+11Q
583=49Q
Q*=11.898
Plug the quantity in inverse demand equation
P*=593-19(11.898)= $366.94
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