Q1: Al Rabie Housewares Company produces goods A, B and C and the profit of Each of the mentioned products is 150, 100 and 200 dollars, respectively. The Productionneed into three raw materials M1, M2 and M3. Each unit of the produced requires 7,4,5 units of M1 and 20,8,10 units of M2 and 20,10,15 units of M3 respectively. The raw materials were specified as 1200 units of material M1, 1500 units of material M2, and 2000 units of material M3. Required: Create a mathematical model that achieves the maximum possible profit?

Q: xdx = 0 -00

A:

Q: Investor Dan has $822,000 to invest in bonds. Bond A yields an average of 9.5% and the bond B…

A: Given:Principle = $822,000Rate (A) = 9.5%and rate (B) = 8%

Q: Rn %3D *ーラ=)+ ニ x²+2 x20 puiy (日 an swere and 4) Find all x for which o>ズ x+S) working f (x) = 9).…

A:

Q: The logistic function ranges from 0 to 1 and has an 'S' like shape to it. O True O False

A:

Q: Directions: Construct the truth table for each of the following propositions. 1. "pA ~ q ARIN CA 2.…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: d1 :0 7 0o using the LR statistic T = log L(6) – log L(60), e 0 is the MLE of 0. Show that if n-1Tn…

A: Sol

Q: lef P P, EPP,2P, then Theoremp How.

A:

Q: 2. Consider the polar curves C1:r= 3 sin20 and C2 : r = 3 çose, and let Rbe the shaded region as…

A: Sol

Q: Match the vector field with its graph. F(x, y) = yi 5 5 -5+ サ

A: To match the given vector field to its graph, where given graphs are given below.

Q: Prove the following statement using element proof: 1. For any four sets A, B, C, and D, if C ⊆ (D ∪…

A:

Q: 6. Milk with 3.8% fat and 8.1% fat-free solids (FFS) is used for the production of canned…

A:

Q: What is the 109th term of the arithmetic sequence (963, 936, 909, 882, ..)?

A:

Q: Question 15 A car depreciates $1500 during the first year after it is bought. Each year thereafter,…

A: Introduction: Depreciation is defined as the systematic lowering of the reported cost of a fixed…

Q: Mike has 5 sweaters and 7 hoodies in one of his dresser drawers. He reaches in the drawer without…

A: Answer: 2.5

Q: function f(x) = 7r3 – 8r + 4. Find the solution of the equation f(x) = 0. within 10-6 %3D

A:

Q: c) n° n° + 2n is a multiple 3 for all n 2 1.

A:

Q: 7.2) Consider the production function Y = 24KL find (i)- (1) (1) (ii)

A:

Q: If the determinant of a 4 x 4 matrix A is det(A) = 7, and the matrix B is obtained from A by…

A:

Q: 00 4 etermine whether the alternating series 2 (- 1)". converges or diverges. 9 Inn n= 2 hoose the…

A: We have to check whether given series is convergent or divergent.

Q: Let V be a vector space, v, u E V, and let T1 :V → V and T2 : V → V be linear transformations such…

A:

Q: Question 24 If the line passing though the points A(-1, 2) and B(1, 3) is perpendicular to the line…

A:

Q: x + x + 1, where E 1, 2]. The Consider the function f(x) domain of the inverse function f'(x) is O…

A:

Q: Let T: P2 that is, 7. > P2 be the linear operator T(p(x)) = p(2x+ 1), T(co+ C,x+ C,x²) = c, + c,(2x…

A:

Q: 2. A linear system is given by the following equations 1 x1 + x2 2x1 + x2 – 3 3x1 – x2 - X3 1 3. (a)…

A: The Given linear system is ,                         x1 + x2 =  1…

Q: Maturity 10 10 (years) Annual 4.40 3.00 5.25 5.15 6.15 4.50 Rate (%) General Electric bonds you…

A: In this question, the invested amount is calculated when the annual rate and total amount are given.

Q: (I + u)u] 2 induction prove that 13 + 23 + ...+ n³ = , for n > 1. 2.

A:

Q: Let C be the parametric curve defined by Sx(t) = t2 – t – 2, |v(t) = t* – º +t. Determine if C is…

A: Substitute x=-2 in the given equation xt=t2-t-2 and simplify to calculate the value of t.…

Q: erential equations, use phase flow, ial conditions, indicate x and y Iclines and equilibria. (if…

A: Sol

Q: R.6. Suppose f:X → Y, and let A, B be subsets of Y. Prove that f-1[An B] = f-1[A] n f-1[B]. (Recall…

A:

Q: a. A'n C b. (An B) U D c. (An B) U(CnD) d. (BU C) nD (A U BY е. B.

A:

Q: After round 6, how many squares are there (not counting the removed ones)? Number of small squares:

A: Given, A square of area 1 square foot is given. Use the Sierpinski square design where the original…

Q: (a) Compute the following residue: Res 0 z°(1+2+ 22)*

A: (a) To Compute the residue Resz=0ezz5(1+z+z2)   Note: As multiple questions are asked, so only first…

Q: 2. A climbing vine is taking over the side of a building. At first the vine only covered 10% of the…

A: Introduction: A differential equation has one or more equilibrium points. The equilibrium points are…

Q: b)+++ -1- for all n 1. ... 4 2"

A:

Q: For the argument: represent the argument symbolically; determine whether the argument is valid or…

A:

Q: Find the laplace transform of cos at using the formula L{f (t)} | e"f (t) dHencefind the laplace…

A:

Q: Which of the circles above should replace the question mark below? B D E

A: We will use basic reasoning to solve this question

Q: a bc de f = 4, find the following determinants. Given det hi b c a det de f 8g 8h 8i a b det -5d -5e…

A:

Q: Is the following statement true or false? Let f(x) = e- if a 21 and f(x) = 0 if x < 1. Then f(x) is…

A: Given function is f(x) = e-xifx≥10ifx&lt;1

Q: 2. Evaluate, using the laws of logarithms. 2 log, 64 x v64* |+log, 46 43 256

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: x-ビ ere S70 and --xe g 00ー

A:

Q: let angle thetha be measured from x1 axis counterclockwise to a line drawn normal to the boundary…

A:

Q: Assessment 3 Directions: Decide whether each of the following is a proposition or not a proposition.…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: 4. Apply to the initial value problem y' = -ry + 1, y(0) = 0 three steps of the Picard-Lindelöf…

A:

Q: Show that a commutative ring with the cancellation property (under multiplication) has no zero…

A: We have to show that a commutative ring with the cancellation property under multiplication has no…

Q: Match the vector field with its graph. F(x, y) = yi 華

A: give vector field F(x, y)=yi

Q: Show that Z[V-2] is a Euclidean Domain with respect to the norm N defined by N(a + by-2) = a² + 2b².…

A: This is a problem of abstract algebra.

Q: 2 3 4 5 6. f = 1 (i 43 5 2 6) (a) Write the permutation f' as a product of disjoint cycles,…

A: We can calculate the permutation of f7 from right to left then take the LCM of disjoint cycle

Q: A committee of 4 is to be randomly selected from 8 women and 10 men. What is the probability of…

A:

Q: Using the matrices. [1 0 R1 = 0 1 li [1 1 R2= 1 0 li 1 1 Find the matrix that represents R1-R2

A: