The revenue (in dollars) from the sale of x car seats for infants is given by the following function. upper r (x )equals 64 x minus 0.020 x squaredr(x)=64x−0.020x2 0 less than or equals x less than or equals 32000≤x≤3200 (a) find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (b) use the four-step process to find upper r prime (x )r′(x). (c) find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and interpret the results.

Employees at a library check out books to patrons. books have an isbn and a name. the library sometimes has multiple copies of the same book. books have one or more authors. a patron is an individual who has an active (non-expired) library card. for each library card, we store the person's first and last names and their address. for each employee, we store their employee id, current salary, first and last name and their address. we also store the employee id of their current manager. each time we check out a book to a patron we need to store the date of the transaction, the employee who checked out the book to the patron, and the library card of the patron. some employees have library cards. if an employee patron turns in a book late, the fine that they pay is a percentage of their salary. some employees are authors who have library cards—they are allowed to check out as many books as they like.

In transportation model analysis, the stepping-stone method is used to: a. obtain an initial feasible solutionb. evaluate empty cells for possible degeneracyc. evaluate empty cells for potential solution improvementsd. identify a dummy origin pointe. balance supply and demand

Awork system has five stations that have process times of 5, 9, 4, 9, and 8. what is the throughput time of the system? a. 7b. 4c. 18d. 35e. 9