Veterinary Medicine Dr. Chen told Miranda that her new puppy needs a diet that includes at least 1.54 ounces of protein and 0.56 ounce of fat each day to grow into a healthy dog. Each cup of Good Start puppy food contains 0.84 ounce of protein and 0.21 ounce of fat. Each cup of Sirius puppy food contains 0.56 ounce of protein and 0.49 ounce of fat. If Good Start puppy food costs 36¢ per cup and Sirius costs 22¢ per cup, how much of each food should Miranda use in order to satisfy the dietary requirements at the minimum cost?
a. Write an inequality to represent the ounces of protein required.
b. Write an inequality to represent the ounces of fat required.
c. Graph the system of inequalities.
d. Write a function to represent the daily cost of puppy food.
e. How many cups of each type of puppy food should be used in order to minimize the cost?
f. What is the minimum cost?
