Round your answer to 4 decimal places

unless otherwise stated. Ignore syn %, and commas. For example, if your answer is 0.12569, write 0.1257.

With Apple venturing into the VR realm, Anton is convinced that VR Ltd should elevate its yearly advertising outlay to amplify profits. Anton knows that profit (Sy million) and advertising expenditure (Sx million) are related by the following formula:

dy/dx = k (100 - y)

Anton doesn't know the value of k, and wishes to calculate it. His data suggests that in if VR Ltd's advertising expenditure is zero, then profit will be $10 million. Further, advertising expenditure of $3 million would produce profit of $30 million.

Part a

The value of the proportionality constant, k is:

Part b

To achieve a profit of $65 million, Anton should spend ______ million on advertising