If c(x) is the cost of manufacturing an amount x of a given product and $10 is the price per unit amount, then the profit p(x) obtained by selling an amount x is p(x) = 10 x − c(x). (notice that there is a loss if p(x) is negative.) a. if c(x) = cx and c < 10, is there a maximum profit?

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

Explain the relationship between consumers and producers in economic growth and activity

There are three factors that can affect the shape of the treasury yield curve (r* t , ip t , and mrp t ) and five factors that can affect the shape of the corporate yield curve (r* t , ip t , mrp t , drp t , and lp t ). the yield curve reflects the aggregation of the impacts from these factors. suppose the real risk-free rate and inflation rate are expected to remain at their current levels throughout the foreseeable future. consider all factors that affect the yield curve. then identify which of the following shapes that the us treasury yield curve can take. check all that apply.a. downward-sloping yield curveb. upward-sloping yield curvec. inverted yield curve