For a certain company, the cost function for producing x items is C(x)=30x+100 and the revenue function for selling x items is R(x)=-0.5(x-100)^2+5,000. The maximum capacity of the company is 140 items. A.) Assuming that the company sells all that it produces, what is the profit function? Solve.
P(x)=
B.) What is the domain of P(x)
C.) The company can choose to produce either 70 or 80 items. what is their profit for each.
Profit when producing 70 items=
Profit for producing 80 items=
D.) can you explain from the model, why the company makes less profit when producing 10 more units.​

Design an er diagram for keeping track of information about votes taken in the u.s. house of representatives during the current two-year congressional session. the database needs to keep track of each u.s. state's name (e.g., texas', new york', california') and include the region of the state (whose domain is {northeast', midwest', southeast', southwest', west'}). each congress person in the house of representatives is described by his or her name, plus the district represented, the start date when the congressperson was first elected, and the political party to which he or she belongs (whose domain is {republican', democrat', 'independent', other'}). the database keeps track of each bill (i.e., proposed law), including the bill name, the date of vote on the bill, whether the bill passed or failed (whose domain is {yes', no'}), and the sponsor (the congressperson(s) who sponsored - that is, proposed - the bill). the database also keeps track of how each congressperson voted on each bill (domain of vote attribute is {yes', no', abstain', absent'}). additional information: