Solve the problem.Assume that the price per unit d of a certain item to the consumer is given by the equation  where x is the number of units in demand. The price per unit from the supplier is given by the equation  where x is the number of units supplied. Find the equilibrium price and the equilibrium quantity.

A. equilibrium price: $35 per unit; equilibrium quantity: 50 units
B. equilibrium price: $50 per unit; equilibrium quantity: 30 units
C. equilibrium price: $20 per unit; equilibrium quantity: 50 units
D. equilibrium price: $30 per unit; equilibrium quantity: 50 units


Answer: D

Mathematics

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Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?

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