The senior executives of an oil company are trying to decide whether or not to drill for oil in a particular field in the Gulf of Mexico. It costs the company $300,000 to drill in the selected field. Company executives believe that if oil is found in this field its estimated value will be $1,800,000...

A grocer has exactly 1,000 square feet available to display and sells 3 kinds of vegetables. The space consumed by each kind of vegetable is proportional to its cost, and tomatoes consume 0.5 square feet per pound. There is a $100 setup cost for replenishing any of the vegetables, and the interest...

See the attached file.
Problem 1 - Arizona Plumbing
Arizona Plumbing, which makes, among other products, a full line of bathtubs must decide which of its factories should supply which of its warehouses. Relevant data for Arizona Plumbing are presented in Table 1 and Table 2. Table 1 show, for ...

This must all be done in Excel. (Very Important) I have also put a link of an example problem for the first part. This how I would like it formatted. Please take a look at it for reference.
http://documents.saintleo.edu/docs/AVP/MBA550/MBA550_ch9.mp4
The manager of a Burger Doodle franchise ...

A bakery produces muffins and doughnuts. Let x1 be the number of doughnuts produced and x2 be the number of muffins produced. The profit function for the bakery is expressed by the following equation: profit = 4x1 + 2x2 + 0.003x12 + 0.004x22. The bakery has the capacity to produce 800 units of muffi...

I am trying to use Linear Programming to solve the attached equation. Accordingly, I used a Demand Function and determined the variable coefficients. I have been receiving comments stating that the problem is unclear and ambiguous. Thus, I tried cleaning it up a bit. The idea is to show the meth...

Determine a simple real-life example scenario to solve systems of linear equations
- Discuss how the math concept applies to your scenario. Scenarios or examples should clearly demonstrate how the math principle can be used to solve a real-life problem.
- Research and include references format...

Parts A & B.
-create model
-solve in excel doc
- state solution point & OFV in sentence form
(Define variables, objective function, constraints with units and labels.)
SHOW ALL WORK! - I need to understand how you got the solutions you did.

You are given a linear programming problem that has already been solved. The following conditions hold:
(i) You are maximizing the objective function 6x + 5y
(ii) After solving the problem, you found that the optimal solution point occurs at the intersection of exactly two of the constraints, nam...

(See the attached file for the diagram)
- In the above network, a given flow Q is transferred through the network to a demand node N. The goal is to route the flows in such a way that total channel loss is minimized, where channel loss coefficients clij per unit length are given for each link or...

A company that assembles electronic alarm systems requires three component parts: C1, C2, and C3. In-house production costs are estimated to be $15 per unit for part C1, $18 per unit for part C2, and $ 20 per unit for part C3. It requires 0.16 hours of machining time and 0.1 hours of finishing time...

Transportaton Problem (Minimal Cost)
There are three warehouses at different cities: Tauranga, Wanganui and Wellington. They have 180, 100 and 150 tons of paper available over the next week respectively. There are four publishers in Auckland, Palmerston North, Hamilton and Wellington. They have o...

Question 1.
1) Suppose (V, | * |) is a normed space. If x, y E V and r is a positive real number, show that the open r-balls Br(x) and Br(x + y) in V are homeomorphic.
2) Suppose V and W are two normed spaces. If A : V ---> W is a linear map, then show that it is continuous at every point v E V ...

A manufacturer must produce a certain product in sufficient quantity to meet contracted sales in the next four months. The production facilities available for this product are limited, but by different amounts in the respective months. The unit cost of production also varies according to the facilit...

Form an LU factorization of the following symmetric matrix to show that it is not positive definite.
4 1 -1 2
1 3 -2 -1
-1 -2 1 6
2 -1 6 1
Using a little ingenuity we can find a non-zero vector such as x^T = ( 0 1 1 0) that does not satisfy the requirement x^T Ax > 0.

See the attached file.
An experiment is conducted to determine the relationship between initial speed and stopping distance of automobiles. A sample of twelve cars is tested and the following data are recorded:
Initial speed in mph (x) 20 20 30 30 40 40 50 50 60 60 70 70
Stopping di...

Suppose you are waiting in line to check out at a grocery store and there are 7 other customers in front of you (so you are customer 8). By inspecting the amount of items in their baskets, you estimate the following check-out time in minutes:
Customer 1 2 3 4 5 6 7 8
Checkout time 10 5 ...

The Ottawa Coat company manufactures winter coats and spring jackets. The winter coat requires 4m of material while the spring jacket requires just 1m. The company wants to minimize the consumption of material. Each winter coat has one zipper while each spring jacket has two. The seamstresses can se...

Solve the following LP problem graphically using Excel with the computations in the cells:
Minimize cost = 24X + 15Y
7X + 11Y ? 77
16X + 4Y ? 80
X,Y ? 0

Let U, V, and W be vector spaces over a field F. Suppose that T : U --> V and S : V --> W are linear transformations and that Im(T) = Ker(S). If T is injective and S is surjective, prove that
dim(V) = dim(U) + dim(W).
Here, dim denotes the dimension of a vector space over the field F.

f(x)=x^3+x+1 and g(x)=x^3+x^2+1 are irreducible over F_2. K is the field extension obtained by adjoining a root of f and L is the extension obtained by adjoining a root of g. Determine the number of isomorphisms from K to L. (It is not necessary to explicitly describe such an isomorphism)

I need a solution for the attached Mobius problem.
(a) Find the most general Mobius transformation that maps the right half-plane to the unit disc carrying the point 17 to the origin.
(b) Find a Mobius transformation that maps the right half-plane to the upper half-plane carrying the point 7 +...

Let D_8 denote the group of symmetries of the square. Denote by a a rotation anticlockwise by ?/2 about the centre of the square, and by b a reflection through the midpoints of an opposite pair of edges.
(i) Verify that each rotation in D_8 can be expressed as a^i and each reflection can be expr...

i. Let R be a set with 2 laws of composition satisfying all ring axioms except the comutative law for addition. Use the distributive law to prove that the commutative law for addition holds, such that R is a ring.
ii. Find generator for the kernel of the map Z[x]->C defined by x->sqrt(2)+sqrt(3).

a) Determine the structure of the ring R obtained from Z by adjoining an element w satisfying each set of relations: (i) 2w-6=0, w-10=0 and (ii) w3+w2+1=0, w2+w=0.
b) Let f=x4+x3+x2+x+1 and let y denote the residue of x in the ring R=Z[x]/(f). Express (y3+y2+y)(y5+1) in terms of the basis (1,y,y2,y...

(a) The kernel of this homomorphism is the principal ideal (x-1). Therefore, Z[x]/(x-1) is isomorphic to Z. According to the correspondence theorem, ideals of Z[x]/(x-1) are in one-to-one correspondence with ideals of Z[x] containing (x-1). Taking into account the above-mentioned isomorphism, we o...

Let C(a) be the conjugacy class in G containing a. Show that for a group G, if a <- G and f: G --> G is an automorphism, then b <- C(a) if and only if f(b) <- C(f(a)). Conclude that Aut G acts on the set of conjugacy classes of G.

a. Let K be a field of characteristic p > 0, and let c in K. Show that if alpha is a root of f (x) = x^p - x - c, so is alpha + 1. Prove that K(alpha) is Galois over K with group either trivial or cyclic of order p.
b. Find all subfields of Q ( sqrt2, sqrt 3) with proof that you have them all. ...

There are 5 distribution centers and 8 customer zones with different cost of satisfying demand to different customers from different distribution centers. Minimize the cost of salisfying the demand of all customers zones by assigning them to the distribution centers with some constraines.
For det...