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Suppose the market for potatoes can be expressed as follows:Supply: Q to power of QS= -20 + 10pDemand: Q to power of QD= 400 – 20pa) If the government sets a price ceiling of $10 per unit,i) What will be the quantity demanded and quantity supplied?ii) What will be the producer surplus?iii) What will be the consumer surplus?iv) What will be the dead-weight loss, if any?