A land trust has received a $130,000 donation to save flying squirrels. They have identified five different areas to target as ecological reserves for flying squirrels. Three of the projects are in Oregon and two are in Washington. Each of the Oregon reserves would require a $70,000 investment and would each provide habitat for 21 squirrels. Each of the Washington projects would require a $40,000 investment and would provide habitat for 11 squirrels. Their objective is to choose the mix of projects that will maximize the number of flying squirrels they are able to save while staying within their budget.

a) Formulate this problem in algebraic notation.

b) Graph the feasible region and find the optimal solution graphically (assuming projects are divisible). How many squirrels are saved?

c) Now assume that the projects are indivisible (integervariables). Graph the feasible region (you can add to your graph in b) and find the new optimal solution.

d) Do you get the same solution for c as you would if you rounded your answer for b to the nearest integer? Discuss.

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A land trust has received a $130,000 donation to save flying squirrels. They have identified five different areas to target as ecological reserves for flying squirrels. Three of the projects are in Oregon and two are in Washington. Each of the Oregon reserves would require a $70,000 investment and would each provide habitat for 21 squirrels. Each of the Washington projects would require a $40,000 investment and would provide habitat for 11 squirrels. Their objective is to choose the mix of projects that will maximize the number of flying ...

Solution Summary

Graph the feasible region and find the optimal solution graphically (assuming projects are divisible). How many squirrels are saved?

Suppose that L has transcendence degree n over K and that L is algebraic over K(α1, . . . , αn). Show that α1, . . . , αn is a transcendence basis for L over K.
Might help:
Theorem - Definition: Let L be an extension of K, A a subset of L. The following are equivalent:
(1) A is a maximal algebraically

Please see the attachment to see these questions properly.
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Question 1
If [K:F] is finite and u is algebraic over K ,prove that [F(u):F] divides [K(u):F]
Hint:[F(u):F] and [K(u):F(u)] are finite by Theorems 10.4,10.7 and 10.9
Apply Theorem 10.4 to
Theorem 10.4
Le

A car has a tank that holds 12 3/8 gallons of gasoline. Mr. Brown fills his tank and drives along the highway until he runs out of gas. If his car averages 19 2/5 mpg, how far has he traveled?

1. Three prizes are to be distributed in a Creative Design Talent Search Contest. The value of the second prize is five-sixths the value of the first prize, and the value of the third prize is fourth-fifths that of the second prize.
a. Express the total value of the three prizes as an algebraic expression.
b. Comment on the ki

1. x - 23 =12 Solve for x
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3. 1/3 + 3/8 = ?
4. 2/3 -1/ 4 = ?
5. Solve for x: ¼(x-2) - ½(x-4)
6. (4x)(2x) = ?
7. Write in interval notation the real numbers greater than or

A. Write 3n − (k + 5) in prefix notation: ????.
b. If T is a binary tree with 100 vertices, its minimum height is ????.
c. Every full binary tree with 50 leaves has ???? vertices.

Using the approximation e^x=1+x for small x, find a simple algebraic relationship between FKM(t) and FNA(t) .
Comment briefly on the relationship you have found.