I need the correct answer with full explanation please and thanks.

1. (50 points) Suppose the bakery sells eight varicty of doughnuts. The preparation of varieties 1,2 and 3 involves a rather complicited process, and so the bakery has decided that it would rather not to bake these varieties unless it can bake and sell at least 10 dozen doughnuts of varieties 1,2 and 3 combined per day, In a day, no more than five varieties of doughnuts can be baked. Suppose also that the capacity of the bakery prohibits the total number of doughnuts baked from exceeding 30 dozen. The profit per dozen of each doughnut type is given in the table below. Two different sources of raw materials can be used, each of which has 60 available units. Different levels of raw materials are used in the production of each doughnut type as given on the table. Therefore, either raw material 1 or raw material 2 will be used. Formulate the problem in an upen form to maximise daily profit assuming the bakery can sell everything in bakes. Note: Define f(x) and g(x) where appropriate. You do not have to find the values of M for this problem. Therefore, leave the constraint in a separate form (as two separate constraints) if you encounter if-then or either-or constraints