A company believes that the rating that a customer gives to their product is largely based on the age and income of the customer. Based on historical data they have estimated the ratings function R(x,y) where x is the age and y in the income of the customer in thousands of dollars as
R(x,y)\(=30−0.001(1.5x −350x+2xy+3.5y −800y)\)
This model works well for age in the range 25 to 65 and income in the range $25K to $150K.
What is the largest rating possible over the valid ranges of age and income?(a) 78.75.
(b) 68.1625.
(c) 54.375.
(d) 91.9625.
(e) 98.72.
Source:
MBAPrep.