On the final examination in Engineering Data Analysis, the mean was 72 and the standard deviation was 15.
1. Determine the standard scores (z-values) of students receiving the grade of 65.
2. Determine the standard scores (z-values) of students receiving the grade of 85
The Munchies Cereal Company combines a number of components to create a cereal. Oats and rice, two of the constituents, offer vitamins A and B. The business is trying to determine how much oats and rice, in terms of ounces, should go into each box of cereal in order to meet the minimum requirements of 48 milligrams of vitamin A and 12 milligrams of vitamin B while keeping costs as low as possible. In comparison to rice, which provides 6 milligrams of A and 2 milligrams of B per ounce, oats provide 8 milligrams of A and 1 milligram of B. Oats cost $0.05 per ounce and rice cost $0.03 per ounce.
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.
c. What would be the effect on the optimal solution if the cost of rice increased from $0.03 per ounce to $0.06 per ounce?