If the demand for a product is 5,000 units when the price is $400 and 6,000 units when price is $380, what is the optimal price to be charged in order to maximise profit if the variable cost of the product is $200?
A、$150
B、$200
C、$350
D、$700
A、$150
B、$200
C、$350
D、$700
【参考答案及解析】
MR = 500 – 0.04Q (as above) MC = 200 Set MR = MC in order to profit maximise thus: 500 – 0.04Q = 200 –0.04 Q = – 300 Q = 7,500 Substitute Q = 7,500 in to the demand equation thus: P = 500 – 0.02 (7,500) P = 350
MR = 500 – 0.04Q (as above) MC = 200 Set MR = MC in order to profit maximise thus: 500 – 0.04Q = 200 –0.04 Q = – 300 Q = 7,500 Substitute Q = 7,500 in to the demand equation thus: P = 500 – 0.02 (7,500) P = 350