Suppose that a new company has five employees: Agraharam, Chou, McIntyre, Smith, and Zamora. Each employee will assume one of six responsibilities: develop- ment, industry relations, marketing, planning, publicity, and sales. Each employee is capable of doing one or more of these jobs.
Zamora could do planning, sales, marketing, or industry relations; Agraharam could do planning or development; Smith could do publicity, sales, or industry relations; Chou could do planning, sales, or industry relations; and Macintyre could do planning, publicity, sales, or industry relations.
a) Model the capabilities of these employees using a bipartite graph.
b) Find an assignment of responsibilities such that each employee is assigned one responsibility.
c) Is the matching of responsibilities you found in part (b) a complete matching? Is it a maximum matching?

Consider the market for gas-powered small cars. assume gas-powered small cars are a normal good. for each of the following events, identify which of the determinants of demand or supply are affected. if demand is unaffected by this event because it creates only a supply change, select the “none” option under the “demand determinant” column. similarly, if supply is unaffected by this event because it creates only a demand change, select the “none” option under the “supply determinant” column. event demand determinant supply determinant people decide to have more children. the price of electric small cars falls. the discovery of a new source of iron ore lowers steel prices. an economic recession lowers people’s wealth. a number of major car dealers decide to switch from selling gas-powered cars to selling electric cars. show the effect of the following event on the market for gas-powered small cars: people decide to have more children for each of the four independent situations, prepare the journal entries to record the exchange on the books of each company.