An Efficiency Expert Hired by a Manufacturing Firm Has Compiled $Q ( t ) = 600 - A e ^ { - k t }$

Multiple Choice

An efficiency expert hired by a manufacturing firm has compiled the following data relating workers' output to their experience: $Q ( t ) = 600 - A e ^ { - k t }$ Experience (months) 0 9 Output (units per hour) 200 580 The expert believes that the output Q is related to experience t by a function of the form. Find the function of this form that fits the data. Round numbers to four decimal places, if necessary.

A) $Q ( t ) = 600 - 400 e ^ { 0.3329 t }$
B) $Q ( t ) = 600 - 400 e ^ { - 0.3329 t }$
C) $Q ( t ) = 600 - 580 e ^ { 0.3329 t }$
D) $Q ( t ) = 600 - 580 e ^ { - 0.3329 t }$