Chapter 6, Section 6.4, Question 008 For a product, the demand curve is p = 100e-00084 and the supply curve is p = 4vg + 10 for 0sqs 500 , where 4 is quantity and P is price in dollars per unit. (a) At a price of $58 , what quantity are consumers willing to buy and what quantity are producers willing to supply? Will the market push prices up or down? Round your answers to the nearest integer. Consumers are willing to buy units. Producers are willing to supply units. The market will push prices SHOW HINT LINK TO TEXT (b) Find the equilibrium price and quantity. Does your answer to part (a) support the observation that market forces tend to push prices closer to the equilibrium price? Round your answers to the nearest integer. p = SHOW HINT LINK TO TEXT (c) At the equilibrium price, calculate and interpret the consumer and producer surplus. Round your answers to the nearest integer. Consumer surplus Producer surplus Consumers $ by buying goods at the equilibrium price instead of the price they would have been willing to pay. Producers $ by supplying goods at the equilibrium price instead of the price at which they would have been willing to provide the goods

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6. (a) A man has $4.55 in change composed entirely of dimes and quarters. What are the maximum and minimum number of coins that he can have? Is it possible for the number of dimes to equal the number of quarters? (b) The neighborhood theater charges $1.80 for adult admissions and $.75 for children. On a particular evening the total receipts were $90. Assuming that more adults than children were present, how many people attended? (c) A certain number of sixes and nines is added to give a sum of 126; if the number of sixes and nines is interchanged, the new sum is 114. How many of each were there originally?

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