Abstract Algebra Answers

Linear Programming Project


Name of Company -
Type of Business -
Two Products Made -
Assigned Variables -
Number of Each Product Produced -
Profit Earned with Each Product -
Total Profit Earned –

Note: Areas highlighted in blue should be replaced with information unique to your project/company.

System of Inequalities

Product Information Inequality
# of product #1 per day------------------------------------------------------------

# of product #2 per day------------------------------------------------------------
^
Profit per product #2---------- I ---------------------------

Profit per product #1 ---------- ---------------------------

Total profit earned =

Graph of the System of Inequalities


Points of Intersection Inequality


Point #1 ------------------------------------------------------------
Point #2 ------------------------------------------------------------
Point #3 ------------------------------------------------------------

If # of product #1 and # of product #2 are made, Company Z will earn $ that day.
If # of product #1 and # of product #2 are made, Company Z will earn $ that day.
If # of product #1 and # of product #2 are made, Company Z will earn $ that day.

Maximized Profit Combination
# of product #1 and # of product #2 should be made for Company Z to earn the most amount of money each day.
Company Commercial (for project option #2 only)

1. Find the quotient and the remainder upon dividing 4 + 9i by 3 + i in Z[i].
2.& Determine whether the polynomial& x[sup]4[/sup] - x[sup]3[/sup] - x + 2 is irreducible in Z[sub]3[/sub][x]. If not, factor the polynomial completely
3.& Let F be a field and let p(x) ∈ F[x]. Show that p(x) is irreducible if and only if < p(x)> is maximal.
4.& Consider the ring R = and let p ∈ R. Prove or give a counter example that < p> is prime implies is maximal?

At the end of the second day of the carnival some water was drained from the tank. the volume of water drained was 35.3 cubic feet. using your answer frm b detemine the height in feet of the water remaing in the tank after the water was drained. radius= 3 feet hieght is 5 feet but filled with 4 feet water answer from b is 75.3 cubic feet.

Using numbers 1 through 8 only once, get the same sum using 4 different combinations.

2X^2 + 3X - 6 + X^2 - 18X + 6
instruction say for all X
I can not make it match any of the multiple choice answers

Square root of 11 + 5i in polar form with r greater than or equal to 0 and theta in the interval 0 less than or equal to theta less than or equal to 2 pie and rounded to the nearest thousandth.

Matt can clean his house in 6 hours and his sister can do it in 9 how long will it take the two together?

Suppose two gliders start at the same height, one with a glide ratio of 0.3 and one with a glide ratio of 2/7. If they glide until they hit the ground, which one will have glided the farther horizontal distance?

Solve
n/(n-2)=6/5

A point O is at the top of a vertical cliff. The angle of elevation of O from a boat which is at a point A due South of O is 28°. The boat now sails 50 metres due North to a point B from which the angle of elevation of O is 70°. Find, to the nearest metre, the distance of B from the foot of the cliff.