The cost per unit in the production of an MP3 player is $60. The manufacturer charges $90 per unit for orders of 100 or less. To encourage large orders, the manufacturer reduces the charge by $0.15 per MP3 player for each unit ordered in excess of 100 (for example, the charge is reduced to $87 per MP3 player for an order size of 120).
(a) The table shows the profits P (in dollars) for various numbers of units ordered, x. Use the table to estimate the maximum profit.

(b) Plot the points (x, P) from the table in part (a). Does the relation defined by the ordered pairs represent P as a function of x?
(c) Given that P is a function of x, write the function and determine its domain. (P = R ˆ’ C, where R is revenue and C is cost.)

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150 | 160 Profit, P 3315 | 3360 3375 | 3360 3315 170 Units, a 130 140