Solve using Big M method subject to: Max z 2x₁ + 4x2 + 3x3 = x₁ + 4x₂ > 3 4x1 + x3 = 7 3x2x3 ≥ 2 X1, X2, X3 ≥ 0
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- Find the point of intersection of the pair of straight lines. y = −7x − 10 −y = 8x + 2 (x, y) =Use the information below to answer question 2x + 3y + 3z = 2 4x – 3y – 6z = 2 10x – 6y + 3z = 0 1. The determinant of the matrix is: A. -288 B. 144 C. -196 D. 306Maximize p = 7x + 6y + 3z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0. p= (x, y, z)=
- Determine the pivot element in the simplex tableau. (If there is more than one correct pivot element, choose the element with the smaller row number.) X1 X2 X3 S1 S2 3 4 2 1 15 1 20 -8 -3 10 1 row column N O OPlease show how to solve bUse the information below to answer question 2x + 3y + 3z = 2 4x – 3y – 6z = 2 10x – 6y + 3z = 0 1. The co-factor for the first element in the coefficient matrix for this system is: A. -27 B. -45 C. 27 D. 45
- A college student works in both the school cafeteria and library. She works no more than 12 hours per week at the cafeteria, and no more than 16 hours per week at the library. She must work at least 20 hours each week. Write a system of inequalities that describes all the given conditions. Write a system of inequalities letting x= number of hours worked at the cafeteria per week and y = number of hours worked at the library per week. x+yz x≤ ys4 For each of the following, determine the direction in which the objective function increases: a z = 4x, - x2 b z = -x, + 2x2 C z = -x - 3x2The Math Club is selling pies on March 14th as a fundraiser. Let Q be the number of pies they make and sell. The total cost, C(Q) in dollars, for making Q pies is given by: C(Q) = 36 + 2Q. Sales price is 5 dollars for each pie. What is the total cost of making 20 pies?