Market demand for a good is Q=240-3.5P. There are 2 firms on d market and their average cost are constant and 15. What quantity will each produce if they compete according to Betrands Model
Average cost=costquantity=\frac{cost}{quantity}=quantitycost
Q=240−3.5P3.5P=240−QP=68.57−0.286QQ=240-3.5P\\3.5P=240-Q\\P=68.57-0.286QQ=240−3.5P3.5P=240−QP=68.57−0.286Q
15=68.57−0.286QQ15Q=68.57−0.286Q15Q+0.286Q=68.5715.286Q=68.57Q=4.4915=\frac{68.57-0.286Q}{Q}\\15Q=68.57-0.286Q\\15Q+0.286Q=68.57\\15.286Q=68.57\\Q=4.4915=Q68.57−0.286Q15Q=68.57−0.286Q15Q+0.286Q=68.5715.286Q=68.57Q=4.49
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