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a company manufactures and sells five products. Costs per unit, selling price, and hourly labor requirements per unit produced are given. If the objective is to maximum total profit, formulate a linear programming model having the following constraints at least 20 units of product A and at least 10 units of products B must be produced sufficient raw material are not available for total production in excess 75 units the number of units produced of products C and E must be equal combined production of A and B should be no more than 50 percent of combined production C,D and E the amount produced of C must be atleast that of A and labour availability in departments 1 and 2 equal 120 and 150 hours respectively
a company manufactures and sells five products. Costs per unit, selling price, and hourly labor requirements per unit produced are given. If the objective is to maximum total profit, formulate a linear programming model having the following constraints at least 20 units of product A and at least 10 units of products B must be produced sufficient raw material are not available for total production in excess 75 units the number of units produced of products C and E must be equal combined production of A and B should be no more than 50 percent of combined production C,D and E the amount produced of C must be atleast that of A and labour availability in departments 1 and 2 equal 120 and 150 hours respectively
Change Q= x² + 2y² + 2z² - 2xy - 2yz + zx into real canonical form and find its rank and signature.
- For what values of h the vectors
⟶ [ 1 ⟶ [ -1 ⟶ [ 5
u1 = -3 u2 = 9 u3 = -7
-2 ] -6 ] h ]
are linearly independent? (Show all working)
Find all Eigen values and corresponding Eigen vectors for the matrix A=
0 0 3
2 5 0
2 3 0
Consider the set V = R 2 . For (x1, y1),(x2, y2) ∈ R 2 and c ∈ R, define the following operations:
I. (x1, y1) + (x2, y2) = (0, y1 + y2)
II. c(x1, y1) = (0, cy1)
Is the subset a vector of R2. If not prove the axioms that makes it false.Also prove those axioms that are true.
What is grapichal method of 2x-3y=7; 3x+y=5
- For what values of h the vectors
⟶ [1 ⟶ [-1 ⟶ [5
u1 = -3 u2 = 9 u3 = -7
-2] -6] h]
are linearly independent? (Show all working)
Which of the following is the solution of the equation below?
0x + 0y = 0.
1. (0, 0, 0).
2. (1, 0, 0).
3. No such solution exists.
4. Infinitely many solution or (−1, 2, 1)
Find the inverse of matrix A given below using the formula A -1 =CT/│A│
A="\\begin{vmatrix}\n -6 & -4 & -4 \\\\\n -1 & -4 & 6 \\\\\\\n-6 & 5 & -1\n\\end{vmatrix}"
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#339914 on Dec 2023