The profit p (in thousands of dollars) for an educational publisher can be modeled by p 52b31 5b21b where b is the number of workbooks printed (in thousands). currently, the publisher prints 5000 workbooks and makes a profit of $5000. what lesser number of workbooks could the publisher print and still yield the same profit?

The lesser number of workbooks are 1,000

Step-by-step explanation:

The correct question is

The profit P (in thousands of dollars) for an educational publisher can be modeled by P=-b³+5b²+b where b is the number of workbooks printed (in thousands). Currently, the publisher prints 5000 workbooks and makes a profit of $5000. What lesser number of workbooks could the publisher print and still yield the same profit?

we have

For

substitute in the equation and solve for b

Remember that the profit and the number of workbooks is in thousands

so

P=5

Using a graphing tool

Solve the cubic function

The solutions are

x=-1

x=1

x=5

therefore

The lesser number of workbooks are 1,000

Verify

For b=1

 -----> is in thousands

so

----> is ok

mean, 40.6

step-by-step explanation: