HELP ASAP, PLEASE AND THANK YOU! A rancher is mixing two types of food: brand X and brand Y , for his cattle. If each serving of
the cattle food is required to have at least 60 grams of protein and no more than 30 grams of fat,
where brand X has 15 grams of protein and 10 grams of fat and costs $0.80 per unit, and
brand Y contains 20 grams of protein and 5 grams of fat, and costs $0.50 per unit. The
rancher would like to minimize his cost of providing food to his cattle, while meeting the nutritional
requirements.
a) In each blank box below, select the best answer from the list that helps complete the objective
function and its associated constraint inequalities. Please note that the option <= indicates ,
and the option >= indicates >
C = [Select)
X+ [Select]
vy
- 60
15X+ [Select ]
Y ( Select ]
x+ 5y (Select]
[ Select)
30
b) Use the geometric approach (with X placed on the x-axis and Y on the y-axis) to determine
the coordinates of the corner points of the solution region. Then, select the answer from this list:
[ Select ]
c) Which of the feasible corner points you selected in part (b) above minimizes the objective
function? Note that any feasible corner point in this case must contain both protein and fat. Select the
answer from this list: [Select]
d) What is the minimum cost to the rancher per unit of the cattle feed?
[ Select ]