An accounting firm has 900 hours of on-the-clock staff time and 100 hours of reviewing time available to assign each week. The firm charges $300 for a tax return and $2000 for a small business audit. A small business audit requires 100 hours of staff time and 10 hours of review time. A tax return requires 12.5 hours of staff time and 2.5 hours of review time. In order to maximize their revenue for the week, how many small business audits and how many tax returns should the firm schedule? What is their maximum revenue for the week?
Constraints:
Objective Formula:
Answer:
The maximum revenue for the week is $19,000.
Step-by-step explanation:
Denote the variables as follows:
X = small business audit
Y = tax return
The maximizing function is:
Z = 2000·X + 300·Y
The maximizing function is subjected to the constraints:
100·X + 10·Y ≤ 900
10·X + 2·Y ≤ 100
0 ≤ X and 0 ≤ Y
The problem can be solved using the simples method as follows:
Let s and t be slack variables.
Initial:
x y s t b Basic
100 10 1 0 900 s (departing)
12.5 2.5 0 1 100 t
Z -2000 -300 0 0 0
(entering)
Step 1:
x y s t b Basic
1 1/10 1/100 0 9 x
0 1 -1/10 1 10 t (departing)
Z 0 -100 20 0 18000
(entering)
Step 2:
x y s t b Basic
1 0 1/50 -1/10 8 x
0 1 -1/10 1 10 y
Z 0 0 10 100 19000
(entering)
The optimal solution is:
X = 8
Y = 10
The maximum revenue for the week is $19,000.
Comebine like terms 8x + 5z - 4x + 3z + 6
Answer: 4x + 8z + 6
Step-by-step explanation: 8x + (-4x) = 4x , 5z + 3z = 8z. 4x + 8z + 6
Each big square below represents one whole.
Answer:
[tex]51.5%[/tex]%
Step-by-step explanation:
We can see that each big square is made up of 10 x 10 = 100 small squares.
And we have one whole big square, plus 3 small squares shaded.
So we have 103 shaded squares out of 200.
Therefore percentage is [tex]103 / 200 * 100[/tex] = [tex]51.5%[/tex]%
Answer:
103%
Step-by-step explanation:
if you have 1 100 shaded thats 100% and the 3 on the other representes 3% so 100 plus 3 equals 103
It is necessary to find the times when the temperature is 8° F. Which of the following is the correct equation to do this
(A) 9 - 1 = 8
(B) 9+2 = 8
(C) 9-12 = 8
Find the equation of a line that passes through the points (1, 2) and (5,8).
1: y= 3/2 + 1/2
2: y= 3/2 + 1
3: y= 3/2 + 2
Answer:
1: y = 3/2 + 1/2
Step-by-step explanation:
y1 -y2/x1 - x2
8-2 / 5-1
6/4 = 3/2
y-2=3/2(x-1)
y-2=3/2x - 3/2
y-2 +2= 3/2x - 3/2 +2
y=3/2x + 1/2
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion. x=x-5
Answer:
no solution
Step-by-step explanation:
X cannot equal itself minus 5, in the same way if we replace it by let's say, 6...
6 does not equal 6-5 (1)........ and by the way in this specific equation 6 is just an example it does not matter what you replace it with, x can never = x-5
Hope this helped! Good Luck!
Mary loves to read. She reads almost everyday! On Monday, she read for 145 minutes . On Tuesday and Wednesday, she read for 459 minutes. How many minutes total has she read so far this week?
Answer:
604 minutes
Step-by-step explanation:
145+459=604
A teacher is decorating her bulletin board. She needs boarder for the board. If the bulletin board has a length of 15 long and a width of 6 feet long
How much boarder does she need for the entire bulletin board?
Answer:
42
Step-by-step explanation:
When doing perimeter, you add all sides. 15+15+6+6=42
Answer:
1+1=2 2+2=4 4+4=8
Step-by-step explanation:
1+1=2 2+2=4 4+4=8
) Ralph's Catering sells platters of spicy chicken wings. Customers can choose from four different platter sizes. The graph shows the price of these platters. Chicken Wing Platters ) is the relationship between the price and the number of chicken wings proportional? Why or why not? 100 It is proportional because the price of 1 chicken wing is the same for each quantity ordered. Price (dollars) It is proportional because the points go through the origin. It is not proportional because the points lie on a straight line. 10 20 30 40 50 60 70 80 90 100 Chicken Wings It is not proportional because the price of 1 chicken wing is not the same for each quantity ordered.
Answer:
t is not proportional because the price of of 1 chicken wing is not the same for each quantity ordered.
Step-by-step explanation:
Answer:
It is not proportional because the price of 1 chicken wing is not the same for each quantity ordered
Step-by-step explanation: i just got it right on the iready quiz
7k + 5 – 2 = 7k + 3 0
Anyone sorry for so many i just need help
Answer:
K=27
Step-by-step explanation:
the answer is 27
Find an nth-degree polynomial function
n= 3;
- 2 and 6 + 2 i are zeros;
f(-1)= 53
Answer:
Find an nth-degree polynomial function.
Step-by-step explanation:
n= 3;
- 2 and 6 + 2 i are zeros;
f(-1)= 53
need help rn will give brainlyest if correct answer with explaining
unit ratio
Answer:
1. 2 eggs per person 2. 3 dollars for each pound 3. 5 pages each day
Step-by-step explanation:
hope this helps .
A technician finds they have only 65% of the length of fabric they need to make the collars. Complete the steps below to help them find how much more fabric they need.
Answer:
131.25
Step-by-step explanation:
you need to minus 375 and 243.75
2.6 X 16 fourth grade answers
Answer:
41.6 lol
Step-by-step explanation:
PLEASE HELP ME FIND THE SIDE OF THE SQUARE
Answer: 6 inches
Step-by-step explanation:
Side length = 6 in.
Diagonal = 6[tex]\sqrt{2}[/tex] = 8.49 rounded
Perimeter = 24 in
Area = 36 in²
Solve the inequality 4x − 6 > 6x − 20. (5 points)
Answer:
14
[tex] 14 > 2x[/tex]
Step-by-step explanation:
you first have to move 4x to the right side and then add 20 yo the left side to get what i got
Given the polynomial function
f(x)=x^3-4x^2+x+6
Write the original polynomial function in factored form.
Will award brainliest
I think the answer is (x+1)(x-2)(x-3)
Mike is 46 years old. He is 4 years older than three times his son, Jared's age. Find Jared's age.
a scientist performs an experiment in which he begins with 45.9 grams of reactants. assuming he does not lose any because of spilling of error, what should be the mass of his product at the end of the reaction?
Answer:
45.9 grams of product
Step-by-step explanation:
you should never end up with more products or less products than reactants
Translate the algebraic expression into a verbal (word) phrase: 2(x + 5)
Answer:
a number plus five times two
Step-by-step explanation:
a number plus five times two
While shopping for clothes, Curtis spent $17 less that 2 times what Daniel spent. Curtis spent $15 dollars
What equation that can be used to determine how much Daniel spent is
Blank• - blank= blank
Answer:
$13
Step-by-step explanation:
15 x 2 =30 - 17 = 13
If X is at most 30 find x
Answer:
x[tex]\leq[/tex]30
Step-by-step explanation:
X can be many possiblities
So we can write it out with a smaller than sign and an equal sign
So now it means that x has to be smaller than 30 or equal to 30
Create and solve a quadratic equation that has 1 real solution
Answer:
x^2 - 4x + 4 = 0
x = 2
Step-by-step explanation:
(x - 2)(x - 2) = 0
x^2 - 2x - 2x + 4 = 0
x^2 - 4x + 4 = 0
The equation is:
x^2 - 4x + 4 = 0
It is a quadratic equation because of the x^2 term.
Now we solve it by factoring.
x^2 - 4x + 4 = 0
(x - 2)(x - 2) = 0
x - 2 = 0 or x - 2 = 0
x = 2 or x = 2
The only solution is x = 2.
Approximately 41% of films are rated PG. If 950 films were recently rated, how many films were rated PG.?
Answer:
about 390
Step-by-step explanation:
you multiply 41% by the 950 and that's what you get
Whats the ratio of 40 to 30 I need help
Answer:
Answer: 75%
Step-by-step explanation:
take apart the addend to solve 48+23
Answer:
71
Step-by-step explanation:
just add the problem
will mark brainliest
please help me asap on this word problem! explain.
Answer:
The second one for both a and b.
Step-by-step explanation:
The first cereal box is:
8•3•11=264 inches cubed
the second cereal box is:
10•10•3=300 inches cubed
a. The box that holds more cereal would be the second one, since it has more volume.
b. The box that requires more material to make is the second one, since the it is bigger in volume, therefore, bigger in length and width.
A market research firm conducts telephone surveys with a historical response rate. What is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions
Answer:
The answer is "0.96562".
Step-by-step explanation:
please find the complete question which is defined in the attached file.
Given value:
[tex]\to p = 0.42 \\\\\to q = 1 - p[/tex]
[tex]= 0.58[/tex]
[tex]\to n = 400\\\\\to x = 150 \\\\\to P = \frac{X}{n}\\[/tex]
[tex]= \frac{150}{400}\\\\ = 0.377[/tex]
When:
[tex]\to P(P>0.375)\\\\[/tex]
[tex]=P(\frac{P-p}{\sqrt{ \frac{pq}{n}}}>\frac{0.375-0.42}{\sqrt{\frac{0.42 \times 0.58}{400}}})[/tex]
[tex]=P(Z>-1.82) \\\\=1-P(Z>1.82)\\\\=1-0.034380\\\\ =0.96562[/tex]
At a sale, scarves are selling at $50.00 are sold at a loss of 60% of selling
price. What is the loss and the original cost?
Answer?
Answer: $30.00
Step-by-step explanation:
If 100% of 10.00=10.00 / 60% = $6.00
10 x 5 is 50, 6x5 is 30.
So..
60% of $10.00 = $6.00
X5 = $50.00 = $30.00
T is between S and U. ST= 10 and TU = 6. what is the length of SU.