Answer: 15000; 3750
Explanation:
From the question,
Q = 660 – 12P
MC = 5
The consumer surplus in a perfectly competitive market will be:
P = MC
Therefore, P = 5
Q = 660 - 12P = 660 - 12(5) = 660 - 60 = 600
Consumer surplus = 1/2 × (55 - 5) (600)
= 1/2 × 50 × 600
= 15,000
For monopoly, MR = MC
Total Revenue = P × Q
Since Q= 660 - 12P
P = (660 - Q)/12
TR = P × Q
= (660 - Q)/12 × Q
= (660Q- Q²)/12 × Q
MR = (660 - 2Q)/12
MR = MC
(660 - 2Q)/12 = 5
(660 - 2Q) = 5 × 12
660 - 2Q = 60
2Q = 660 - 60
2Q = 600
Q = 600/2
Q= 300
Since P =(660 - Q)/12
= (660 - 300)/12
= 360/12
= 30
Consumer surplus = 1/2 × (55 - 30) (30)
= 1/2 × 25 × 300
= 3750
Therefore, the answer is 15000; 3750
Original price = $500
Assume that the tax rate is 8%
Cost of the TV plus tax = 500*1.08 = $540
Worth of the 25% coupon = 0.25*540 = $135
Reduced price = 540 - 135 = $405
The cost of the TV with a coupon for 25% off excluding tax is $405.
Answer: $405
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