Ajax Fuels, Inc., is developing a new additive for airplane fuels. The additive is a mixture of three ingredients: A, B, and C.

For proper performance, the total amount of additive (amount of A + amount of B + amount of C) must be at least 10 ounces per gallon of fuel. However, because of safety reason, the amount of additive must not exceed 15 ounces per gallon of fuel. The mix or blend of the three ingredients is critical. At least 1 ounce of ingredient A must be used for every ounce of ingredient B, and the amount of ingredient C must be greater than or equal to one half the amount of ingredient A.

If the costs per ounce for ingredients A, B, and C are $ 0.10, $0.03 and $ 0.09, respectively, find the minimum-cost mixture of A, B, and C for each gallon of airplane fuel.

Formulate the problem and solve it on a computer either by using the Microsoft's Excel. You need to submit the formulation as well as the computer output.

Solution Summary

The solution answers the question below and goes into some detail as well. The solution is ideal for students who are looking for a short answer to the question.

Why is problem representation so important in problem solving? What happens if it is not represented correctly? What are some things that can cause this to happen?

Problem 1
In what specific ways (if any) does a college education increase a worker's productivity? Take some special care with this problem.
Problem 2
In what way is Per Capita GDP a better measure of economic well being than GDP? How does this relate to economic problems in the undeveloped world?
Problem 3
Is limitles

Create a word problem about Linear Equations, or Inequalities in one variable, or discount, investment, or mixture, or numbers, or geometric, uniform motion applications . Then present a step-by-step solution to your problem. The created word problem and solution NEED TO INCLUDE BETWEEN 250 TO 300 WORDS.

Consider the following minimization problem.
Min z = 1.5x1 + 2x2
s.t. x1 + x2 300
2x1 + x2 400
2x1 + 5x2 750
x1, x2 0
What are the optimal values of x1, x2, and z?

1. Express and evaluate the distance between the numbers 84 and -34 using absolute value.
2. -6 (2x-9) -4x+5
3. (x ) -3
4.
5. 2+6 given x = 4
6. ( 8-7w + 2y)
7. 8x+7 given x = -3
8. Simplify 7 completely.
9.
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13. Determine whether 15>16 is true or false.
14. 6 + 3
15. Given x = 1 a

When trying to solve a problem, you might have been instructed to "stop thinking about it and come back to it later." Based on what you have learned this week about impasses, do you think that this is good advice? Why or why not? 100 words.

Convert the following to a maximization problem.
Minimize: w = 2x + 3y + 5z
Subject to: x + y + z ≥ 5
X + y ≥ 7
2x + y + 3z ≥ 6
Do not need to solve. Just answer with the maximization problem.

See attachment
Evaluate the given integral. First make a substitution that transforms it into a standard form using the given formulas. If a computer algebra system is available, compare and reconcile (if necessary) the result found using the integral table formula with a machine result.

Read the below problem and come up with ways to solve that problem. Please explain the ways in detail to come up with the answer.
* Problem: Apple Orchard
The owner hired three watchmen to guard his apple orchard, but a stranger got in and stole some apples. On the way out, the stranger met each watchman, one at a time. To