Functions and Graphs

Functions and Graphs

Functions and Graphs

Functions in Business

P(x) = -x2 + 110x - 1000

Compute the following: P(5), P(50), and P(120). Then, interpret the results.

P (5) = - (5)2 + 110(5) - 1000 = - $475,000 (Economic Loss)

P (50) = - (50)2 + 110(50) - 1000 = $200, 000, 0 (Economic Profit)

P (120) = - (120)2 + 110(120) - 1000 = - $200,000 (Economic Loss)



The profit function in this business is quadratic in nature and initially it is starting from the loss of $1000, 000. Then initially it reaches to sell 10 units to reach the break - even point. ...