SOLVE THE LINEAR PROGRAMMING SITUATION:

The bakery is making bread and muffins. (Use b for bread and m for muffins)

The bread takes 4 hours to prepare and 1 hour to bake.

The muffins take .5 hours to prepare and .5 hours to bake.

The maximum preparation time available is 16 hours.

The maximum baking time available is 10 hours.

For each batch of bread the make $35 profit.

For each batch of muffins they make $10 profit.

How many batches of bread and muffins should be made to maximize profit?

I need the system of inequalities, the vertices, the maximizing equation, all work shown, a graph, and the solution.

PLEASE HELP!