Provide a step by step resolution for the following:

6-9. Hoot Spa imports coconut oil from his home town in Jamaica. He uses this oil to produce two kinds of tanning creme: Sear and Char. The price per kilogram at which he will be able to sell these products depends on how much of each he produces. In particular, if Hoot produces x1 kilograms of Sear and x2 kilograms of Char, he will be able to sell all he produces at the following prices (in dollars): price per kilogram of Sear = 120 - x1 and price per kilogram of Char = 150 - 2x2 The cost of manufacturing x1 kilograms of Sear and x2 kilograms of Char is: cost of manufacturing the two crmes = 1.2X1 + 16.8};2 + 1.30:1);z Assuming that he can sell all he produces, Hoot wishes to determine how many kilograms of each creme he should schedule for production so as to maximize his prot