Cindy wishes to arrange her coins into $x$ piles, each consisting of the same number of coins, $y$. each pile will have more than one coin and no pile will have all the coins. if there are 13 possible values for $y$ given all of the restrictions, what is the smallest number of coins she could have?

The following cost data pertain to the operations of montgomery department stores, inc., for the month of july. corporate legal office salaries $ 75,300apparel department cost of sales"evendale store $ 97,200corporate headquarters building lease $ 50,300store manager's salary"evendale store $ 12,900apparel department sales commission"evendale store $ 11,550store utilities"evendale store $ 12,800apparel department manager's salary"evendale store $ 10,450central warehouse lease cost $ 18,600janitorial costs"evendale store $ 11,800 the evendale store is just one of many stores owned and operated by the company. the apparel department is one of many departments at the evendale store. the central warehouse serves all of the company's stores. required: 1. what is the total amount of the costs listed above that are direct costs of the apparel department? 2. what is the total amount of the costs listed above that are direct costs of the evendale store? 3. what is the total amount of the apparel department's direct costs that are also variable costs with respect to total departmental sales?

Aprice ceiling is “binding” if the price ceiling is set below the equilibrium price. suppose that the equilibrium price is $5. if a price ceiling is set at $6, this will not affect the market in any way since $5 remains a legally allowable price (since $5 < $6). a price ceiling of $6 is called a “non-binding” price ceiling. on the other hand, if the price ceiling is set at $4, the price ceiling is “binding” because the natural equilibrium price is $5 but that is no longer allowed. what happens when there is a binding price ceiling? at a price below the equilibrium price, quantity demanded exceeds quantity supplied. there is a shortage. normally, price increases eliminate shortages by increasing quantity supplied and decreasing quantity demanded. in this case, however, price increases are not allowed past the price ceiling. we therefore predict that the observed market price will be right at the price ceiling and there will be a permanent shortage. the observed quantity bought and sold will be dictated by the quantity supplied at the price ceiling. although consumers would like to buy more, there are no more units for sale

Acompany that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. prior to buying the new equipment, the company used 6 workers, who produced an average of 79 carts per hour. workers receive $16 per hour, and machine coast was $49 per hour. with the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $11 per hour while output increased by four carts per hour. a) compute the multifactor productivity (mfp) (labor plus equipment) under the prior to buying the new equipment. the mfp (carts/$) = (round to 4 decimal places). b) compute the productivity changes between the prior to and after buying the new equipment. the productivity growth = % (round to 2 decimal places)