## CHECK THESE SAMPLES OF MATH Math Problem

...1) Total Revenue = 200 * 40 = $8000 Total Costs = 2 2 4 = $10,000 Fixed Costs = 2+2 = $4000 Total Variable Costs = 4 1 = $6000 Overall Loss = 8000-10000 = ($2000)
Looking at the data, one might say that it is not feasible for the company to be flying between the two cities as it implies a loss of $2000 (Total Revenue - Total Cost). However, rationality of the situation according to the economic analysis is that the firm should continue to operate and should fly between the two cities in the short-run. The rational behind this decision is the fact that in this case firm is covering all its variable costs and generating revenue which is greater than total variable costs. This means that firm is contributing the amount over... Total Revenue =...

2 Pages(500 words)Math Problem

...**Math** Problem a) I constructed the first linear function based on the municipal solid waste data for 1970 and 1997 and the second linear function based on the data for 1980 and 1997. A dependent variable is the annual production of municipal solid waste in million tons. An independent variable is the number of years after 1960.
Based on the municipal solid waste data from the graph, I received such numbers for independent and dependent variables for the models.
Model 1
Model 2
Dependent Variable
Independent Variable
Dependent Variable
Independent Variable
121
10
152
20
217
37
217
37
Model 1:
121 = a + b*10
217 = a + b*37
The solution is a=85.4, b=3.56. Therefore, the first linear function is:
Annual MSW = 85.4+3.56*(Number of years after...

2 Pages(500 words)Math Problem

...We are asked to compute for the following quantities X2, X3, X4, Y2, Y3, and Y4. Given are the matrices X = 1111 and Y 1-11. First, we recall how to multiply matrices. Initially, the matrices must satisfy this condition: given matrices A and B, A x B can only be performed if and only if the number of columns of A are equal to the number of rows of B. Only then can we proceed to the multiplication process, as illustrated below:
A x B = a11a12a21a22 x b11b12b21b22 = a11b11+a12b21a11b12+a12b22a21b11+a22b21a21b12+a22b22
With that, we now calculate the required:
X2 = 11111111 = 2222
X3 = 111111111111 = 22221111 = 4444
X4 = 1111111111111111 = 44441111=8888
Y2 = 1-1-111-1-11 = 2-2-22
Y3 = 1-1-111-1-11 = 2-2-221-1-11=4-4-44
Y4 = 1-1-111...

3 Pages(750 words)Math Problem

...Assignment 4, Due July 26th in A firm manufactures and sells q units of a product at price = (575 - q) which has unit costs of (q2 -25q) and fixed costs of 45,000.
(a) Write down expressions for: revenue, profit and average cost
in terms of output(q) of the firm. [1 mark]
Revenue = (575 - q ) q
= 575q - q2
Profit = Revenue - Total Cost
= 575q - q2 - [(q2 - 25q )q +45,000]
= 575q - q2 - q3 + 25q2 - 45,000
= - q3 + 24.5q2 + 575q - 45,000
Average Cost = Total Cost / q
= q2 - 25q + 45,000/q
(b) Find expressions for: marginal revenue, marginal cost, marginal
profit and marginal average costs in terms of output (q). [2 marks... 4, Due July 26th in ...

4 Pages(1000 words)Math Problem

...QUESTION Part (a Fixed Costs = Rate + Advertising + Maintenance + Salaries & wages + Heat & Light + Administration + depreciation of hotel andrenovation per year
= 400,000 + 300,000 + 59,000+ 1,500,000 + 250,000 + 291,000 + 2,800,000
= '5,600,000 annual or '15,385 per day
Number of Estimated Sales = (100 rooms * 70%) = 70 rooms
Contribution Margin per unit = Fixed costs/number of estimated sales
= 15,385/70
= '219.785
Variable Costs per guest per night = Breakfast + Evening Meal
= 2 + 6
= '8
The price charged by hotel per guest night should be = 219.785 + 8
= '228
Part (b):
Suppose the sales of the consortium at breakeven is = (228 * 70)*364 = '5,809,440... Part (a Fixed...

4 Pages(1000 words)Math Problem

... Review your tax return for last year and answer the following questions: Let's assume that the tax rate in my is 9% and my incomeis roughly $50,000 a year.
Could any income have been deferred to this year If so, how much tax could have been saved Multiply the amount deferred by 15% or 28%, depending on your tax bracket.
Yes, about $5000 could have been deferred. The amount of tax saved thus could have been
450 dollars multiplied by 15% according to my tax bracket.
(45000*.09=4050 4500-4050=450 450+(450*.15)=517.5)
Could you have reduced taxes on dividend income by moving part of your investments to tax-free municipal bonds If so, how much tax could you have saved
If I had moved $5000 of my investments to tax... Review...

2 Pages(500 words)Math Problem

...**Math** Problem a) Using synthetic division: -3 3 5 -6 18 -9 12 -18 3 -4 6 0 2 3 -4 6 6 4 3 2 10 As zero remainder is received when dividing by -3, x = -3 is a zero Division by 2 produced the non-zero remainder and, therefore, x = 2 is not a zero.
b)
-4
3
11
-2
8
-12
4
-8
3
-1
2
0
2
3
-1
2
6
10
3
5
12
As zero remainder is received for the synthetic division by -4, x = -4 is zero and (x+4) is the factor of the given polynomial. However, the subsequent division by 2 produced the non-zero remainder. x=2 is not a zero.
2.
a) For f(x) = 2x 3 -5x2-4x+3 from the Rational roots test we can suggest that +/-3 (multiple of the factor 3/2) can be the possible solutions. Using synthetic division we find that x=3 is a zero... Problem a) Using ...

3 Pages(750 words)Math Problem

...1. The profits of the firm at three different output levels are the following: Production (units) Profits 40 2800 50 3900 60 4800 a. Find a quadratic function relating production to profits.
General form of quadratic equation: y = ax2 +bx + c
Substituting the given with production(y) as a function of profits(x):
2800 = 1600a + 40b + c (1)
3900 = 2500a + 50b + c (2)
4800 = 3600a + 60b + c (3)
We now have a system of linear equations. Rearranging and forming the matrix, we have:
B3_3 = 1600 40 1 2800
2500 50 1 3900
3600 60 1 4800
Solving:
B3_3... The profits of...

6 Pages(1500 words)Math Problem

...College **Math** Written by Bipin Musale We first try to solve the first problem. In one rotation of the wheel the distance traveled by it when it rolls along a road is equal to the circumference of the wheel. In other words when the wheel travels a distance equal to its circumference it completes one rotation.
Therefore, the number of rotations when the wheel with diameter of 15 inch travels a distance of 2000 miles is approximately equal to (2000 X 1760 X 3 X 12) / (3.14 X 15) i.e. 2,690,446.
The number of rotations when the wheel with diameter of 16 inch travels a distance of 2000 miles is approximately equal to (2000 X 1760 X 3 X 12) / (3.14 X 16) i.e. 2,522,293.
Since the number of rotations for the wheel with diameter 15 inch are more...

2 Pages(500 words)Math Problem

...**Math** Challenge Vectors: Explanation: Although the vectors QR and RQ refer to the same segment between the points R and Q, they are two distinct vectors and can not be considered equivalent. It happens because a vector is characterized by both numerical value and vector's direction. Vectors QR and RQ have exactly the same length but opposite direction and, therefore, differ from each other.
"Blog"-version:
9:30
I was puzzled to find out that the vectors connecting the same two points (let's say QR and RQ) are not equivalent. How can it happen It seems so logical to assume that if two endpoints are the same, the segment between them is the same also. Can somebody help me with this issue
9:50
Hi! It is simple, though unusual. Vectors differ...

2 Pages(500 words)Math Problem

...CORPORATE FINANCE TABLE OF CONTENT PAGES Mini-Case 03 Free Cash Flow 05 Uses of FCF 05 Mini Case II 11
Mini Case 3 16
Mini Case 4 25
Mini Case 5 39
Mini Case 1:
Ans 1): After comparing the financial records of both years, we observe that the expansion didn't come up with a positive result because the company envisaged a big loss after it enjoyed profit a year before.
SALES IMPACT
2006
2007
Sales $
3432000
5834400
Difference = (Sales 2007-Sales 2006)
2402400
Percentage Increase/Decrease = (Difference/Sales 2006)
70
However, as far as the sale is concerned, then we can see from the financial statement that the sales are surged by $2.4 million or 70% FY 2007 as compared to the same period... FINANCE...

8 Pages(2000 words)Math Problem

... Hedging and Arbitrage Hedging is an investment strategy employed by investors to avoid certain potential business risk. It is basically a position taken by an investor in one market to neutralize the risk related to a contrasting position taken in another market. In incomplete markets, perfect risk cannot be transferred. As a result, investors cannot come up with a perfect hedging portfolio that does away with all the associated risks (Mishken et al. 2009). Some of the causes of incomplete markets are transactional costs, market resistances and portfolio constraints. Due to these reasons, investors are forced to take up cross-hedging in this market. This normally involves hedging a position in one asset by taking a balancing... Hedging and...

1 Pages(250 words)Math Problem

... Question A. Expectation damages: In this case A would have gained $200,000 - $160,000 = 40000 For the first 3 months, A would have earned on average:
3/12 x 60000 = 15000
Consequently;
A would have gained $40000 had the contract not been repudiated. Yes, A would have gained $40000 under the contract, but A would have lost an income of $15000 that it no longer has to loose now. This means that it will take $25000 to bring A from where it now stands to where it would it would be if the contract hadn’t been repudiated.
Reliance damages
No reliance damage in this case since A did not rely materially.
B.
Expectation damages:
A would have gained $80000 ($200,000 - $120,000)
In this case, A relied materially to the tune... Question A. ...

2 Pages(500 words)Math Problem