Q30. A dietitian needs to purchase food for patients. She can purchase an ounce of chicken for $0.25 and an ounce of potatoes for $0.03. Let x = the number of ounces of chicken and y = the number of ounces of potatoes purchased per patient. Write the objective function that describes the total cost per patient per meal.

a. z = 3y + 25y

b. z = 0.25x + 0.03y

c. z = 25x + 3y

d. z = 0.03x + 0.25y

Q34. Write the partial fraction decomposition of the rational expression (14x + 1)/[(x - 1)(x² + x + 1)]. a. 5/(x - 1) + (4x - 5)/(x² + x + 1) b. 5/(x - 1) + (-5x + 4)/(x² + x + 1) c. 5/(x - 1) + -5/(x + 1) + 4/(x - 1) d. -5/(x - 1) + (5x + 4)/(x² + x + 1) Q38. Solve the linear programming problem. Minimize z = 11x + 6y + 7 subject to: x = 0, y = 0, x + y = 1. a. minimum: 7 b. minimum: 18 c. minimum: 24 d. minimum: 13 Q40. Solve the system of equations using Cramer's Rule if it is applicable.

3x+8z=64

-6x+2y+7z=-5

4x-4y=16

a. x = 9, y = 2, z = 5; (9, 2, 5) b. x = 8, y = 4, z = 5; (8, 4, 5) c. x = 4, y = 5, z = 4; (4, 5, 4) d. x = 8, y = -4, z = -5; (8, -4, -5)