A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function r(x) = 100x − 0.5x2, where the revenue r(x) is measured in dollars. what is the maximum revenue, and how many units should be manufactured to obtain this maximum?

Pressure systems, inc., manufactures high-accuracy liquid-level transducers. it is investigating whether it should update certain equipment now or wait to do it later. if the cost now is $200,000, what will the equivalent amount be 3 years from now at an interest rate of 10% per year?

Peppy knows a lot about marketing, but not much about the legal or financial aspects of starting a new business. he wants to consult with a lawyer and accountant, but his budget is tight with all of the expenses involved in getting peppy's pizzazzeria up and running. peppy should: trust his basic instincts and try to put it together without the advice of lawyers and accountants. delay talking with a lawyer and accountant until the business has established a positive cash flow for at least one year. immediately hire full-time lawyers and accountants for his staff. consult with a lawyer and accountant even though the budget is tight.

Scoresby co. uses 6 machine hours and 2 direct labor hours to produce product x. it uses 8 machine hours and 16 direct labor hours to produce product y. scoresby's assembly and finishing departments have factory overhead rates of $240 per machine hour and $160 per direct labor hour, respectively. how much overhead cost will be charged to the two products? a. product x = $1,440; product y = $2,560 b. product x = $1,760; product y = $4,480 c. product x = $3,200; product y = $9,600 d. product x = $800; product y = $800