The following are recipes for pancakes and waffles. A batch of pancakes require 3 cups of flour, 1 cup of milk, and 2 eggs and feeds 6 people. A batch of waffles requires 2 cups of flour, 2 cups of milk, and 2 eggs and feeds 5 people. Suppose you have available 24 cups of flour, 18 cups of milk, and 20 eggs. How many batches of pancakes and waffles should you make to feed the maximum number of people?  a) State what you assign to x and y. Write the objective function. [2]  b) Write the three constraint inequalities. [3]  c) Find the axes intercepts of each of the above inequalities. [3]  d) Plot the inequalities. Label the solution set. [3]  e) How many batches of pancakes and waffles should you make to feed the maximum number of people

The following are recipes for pancakes and waffles. A batch of pancakes require 3 cups of flour, 1 cup of milk, and 2 eggs and feeds 6 people. A batch of waffles requires 2 cups of flour, 2 cups of milk, and 2 eggs and feeds 5 people. Suppose you have available 24 cups of flour, 18 cups of milk, and 20 eggs. How many batches of pancakes and waffles should you make to feed the maximum number of people? 
a) State what you assign to x and y. Write the objective function. [2] 
b) Write the three constraint inequalities. [3] 
c) Find the axes intercepts of each of the above inequalities. [3] 
d) Plot the inequalities. Label the solution set. [3] 
e) How many batches of pancakes and waffles should you make to feed the maximum number of people