2. Suzi is raising prize winning rabbits for the state fair. In order to insure optimal health, she needs to feed the rabbits a special daily diet in ounces. Instead of ordering expensive rabbit food, she is going to make her own with some Better Bunny Blend and some Healthy, Happy, Hare Food. The Better Bunny Blend contains 8 grams of fat, 12 grams of carbohydrates, and 2 grams of protein per ounce. The Healthy, Happy, Hare Food contains 12 grams of fat, 12 grams of carbohydrates, and I gram of protein per ounce. The rabbit's diet, needs to have a minimum of 24 grams of fat, 36 grams of carbohydrates, and 4 grams of protein. At most, the rabbits can be fed 4 ounces of food a day. Better Bunny Blend costs $0.20 per ounce and Healthy, Happy Hare Food costs $0.30 per ounce. How much of each type of rabbit food should she use to get a blend that meets all the requirements but cost the least? Define the variables, x= and y= a. b. Write the constraints as inequalities and graph them (hint: find the x and y intercepts to graph them) List the vertices of the feasible region. If you can not accurately read them off of your graph, you will need to solve a system of equations to find each point. c. d. Give the cost equation e. Test each vertex in the cost equation. f. Write a statement telling Suzi how much of each type of rabbit food should she use to get a blend that meets all the requirements and is the cheapest?
2. Suzi is raising prize winning rabbits for the state fair. In order to insure optimal health, she needs to feed the rabbits a special daily diet in ounces. Instead of ordering expensive rabbit food, she is going to make her own with some Better Bunny Blend and some Healthy, Happy, Hare Food. The Better Bunny Blend contains 8 grams of fat, 12 grams of carbohydrates, and 2 grams of protein per ounce. The Healthy, Happy, Hare Food contains 12 grams of fat, 12 grams of carbohydrates, and I gram of protein per ounce. The rabbit's diet, needs to have a minimum of 24 grams of fat, 36 grams of carbohydrates, and 4 grams of protein. At most, the rabbits can be fed 4 ounces of food a day. Better Bunny Blend costs $0.20 per ounce and Healthy, Happy Hare Food costs $0.30 per ounce. How much of each type of rabbit food should she use to get a blend that meets all the requirements but cost the least? Define the variables, x= and y= a. b. Write the constraints as inequalities and graph them (hint: find the x and y intercepts to graph them) List the vertices of the feasible region. If you can not accurately read them off of your graph, you will need to solve a system of equations to find each point. c. d. Give the cost equation e. Test each vertex in the cost equation. f. Write a statement telling Suzi how much of each type of rabbit food should she use to get a blend that meets all the requirements and is the cheapest?
Chapter9: Math Models And Geometry
Section9.2: Solve Money Applications
Problem 76E: Parent Volunteer Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the...
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2. Suzi is raising prize winning rabbits for the state fair. In order to insure optimal health, she needs to feed the rabbits a special daily
diet in ounces. Instead of ordering expensive rabbit food, she is going to make her own with some Better Bunny Blend and some
Healthy, Happy, Hare Food. The Better Bunny Blend contains 8 grams of fat, 12 grams of carbohydrates, and 2 grams of protein per
ounce. The Healthy, Happy, Hare Food contains 12 grams of fat, 12 grams of carbohydrates, and 1 gram of protein per ounce. The
rabbit's diet, needs to have a minimum of 24 grams of fat, 36 grams of carbohydrates, and 4 grams of protein. At most, the rabbits can
be fed 4 ounces of food a day. Better Bunny Blend costs $0.20 per ounce and Healthy, Happy Hare Food costs $0.30 per ounce. How
much of each type of rabbit food should she use to get a blend that meets all the requirements but cost the least?
Define the variables. x=
and y=
a.
b. Write the constraints as inequalities and graph them (hint: find the x and y intercepts to graph them)
c. List the vertices of the feasible region. If
you can not accurately read them off of
your graph, you will need to solve a
system of equations to find each point.
d. Give the cost equation
e.
Test each vertex in the cost equation.
f. Write a statement telling Suzi how much
of each type of rabbit food should she use
to get a blend that meets all the
requirements and is the cheapest?
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