A store plans to sell two different game consoles, the YuuMi and the ZBox. The store’s wholesale cost for a YuuMi is $250, and the store can sell one for $295. The ZBox’s wholesale price is $400, and the store can sell it for $450. The store’s marketing research indicates that the total monthly demand for game consoles will not exceed 250 units sold. The store’s financial manager does not want to invest more than $70,000 in inventory costs for game consoles. How many of each game console should the store stock in order to maximize their profits, and what is their maximum monthly profit?
Constraints:
Objective formula:
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Answer:
Constraints: x + y ≤ 250; 250x +400y ≤ 70000; x ≥ 0; y ≥ 0Objective formula: p = 45x +50y200 YuuMi and 50 ZBox should be stockedmaximum profit is $11,500Step-by-step explanation:
Let x and y represent the numbers of YuuMi and ZBox consoles, respectively. The inventory cost must be at most 70,000, so that constraint is ...
250x +400y ≤ 70000
The number sold will be at most 250 units, so that constraint is ...
x + y ≤ 250
Additionally, we require x ≥ 0 and y ≥ 0.
__
A profit of 295-250 = 45 is made on each YuuMi, and a profit of 450-400 = 50 is made on each ZBox. So, if we want to maximize profit, our objective function is ...
profit = 45x +50y
__
A graph is shown in the attachment. The vertex of the feasible region that maximizes profit is (x, y) = (200, 50).
200 YuuMi and 50 ZBox consoles should be stocked to maximize profit. The maximum monthly profit is $11,500.
Related Questions
While mining, Jason found a large metal bar that weighed 50 ounces. Jason was also able to determine that the bar contained 60% nickel. How many ounces of nickel are in the metal bar?
Answers
Answer:
The answer is 30
Step-by-step explanation:
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
If 60% of nickel is present in the metal bar that weighs 50 ounces.
The amount of ounces of nickel in the metal bar is 30 ounces.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% of 100 = 50/100 x 100 = 50
20% of 40 = 20/100 x 40 = 8
We have,
Weight of the metal bar = 50 ounces.
The percentage of nickel in the metal bar = 60%
The amount of nickel in the metal bar:
= 60% of 50 ounces
= 60/100 x 50 ounces
= 30 ounces
Thus,
If 60% of nickel is present in the metal bar that weighs 50 ounces.
The amount of ounces of nickel in the metal bar is 30 ounces.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
In quadrilateral BADC, AB=AD and BC=DC. The line AC is a line of symmetry for this quadrilateral.
Quadrilateral B A D C.
a. Based on the line of symmetry, explain why the diagonals AC and BD are perpendicular.
Answers
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Answer:
a line of symmetry is always the perpendicular bisector of a point and its symmetrical image
Step-by-step explanation:
A line of symmetry is a perpendicular bisector of any segment joining a point and its symmetrical image. B and D are symmetrically located about line AC, so AC must be a perpendicular bisector of BD.
7x + 3x + 4 - 24 (Given)
10x + 4 = 24 (Simplify)
10x = 20)
x = 2 (Division)
What is the missing reason for the argument shown?
A)
addition.
B)
division
C)
subtraction
D)
multiplication
Answers
Answer:
The missing reason for the shown argument is subtraction.
Step-by-step explanation:
Determine the type and number of solutions for the follow equation.
x² – 8x=-7
Answers
x = 7 OR x = 1
Have a nice day
Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.
Answers
Answer:
whats the question-
Step-by-step explanation:
Answer:
so how many hours does he play, we need to know that so we can calculate it
Step-by-step explanation:
Which pair of lines are perpendicular?
A y=-8 and y = 2
B y= -4x + 1 and 8X+2Y=-10
C x=4 and y= -1
D x-y=7 and y=x+3
Answers
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Answer:
C. x=4 and y= -1
Step-by-step explanation:
A: lines are parallel (both are horizontal)
B. lines are parallel (both have slope -4)
C. lines are perpendicular (one is vertical, one is horizontal)
D. lines are parallel (both have slope 1)
Which unit of length would be most appropriate to describe the length of your
foot?
Answers
Answer:
inches
Step-by-step explanation:
well depends on how big your foot is
Which best describes the solution set of the compound inequality below?
Answers
Answer:
All real numbers except x=1.
what is 1000000000000x0??????
Answers
Answer:
0
Step-by-step explanation:
Everything multiplied by 0 is 0.
Jack went to the cash point. He drew out the same amount of money as he had in his pocket. He then spent £40 on CDs.
Jack went back to the cash point.
He drew out the same amount of money as he had in his pocket.
He then spent a further £40 on CDs. Jack did this a third time.
He then had no money left. How much money did he have with him to start?
Answers
Answer:
£30
Step-by-step explanation:
Jack had 30 pounds, he withdrew 30 more and had 60,he spent 40 and was left with 20.Then he withdrew 30 more and had 50,he spent 40 and was left with 10.Then he withdrew 30 more and had 40,he spent 40 and was left with 0 meaning he had no money
What is the slope-intercept equation of the line below?
5
-5
H
O A. y = 2x+1
O B. y=-2x+1
O C. y= 2x-1
O D. y=-2x-1
Answers
Answer:
could I have a picture of the line
Select two ratios that are equivalent to 7: 10.
Just trying to get my late work done ✅ thxs
Answers
Answer:
21:30
35:50
Step-by-step explanation:
21 divide by 3 =7 30 divide by 3=10
35 divide by 5=7 50 divide by 5=10
What is the reflection image of (4, -1) across line y=x?
a
(-1,4)
b
(-1,-4)
c
(1,-4)
d
(-4,1)
Answers
Answer:
I think it is a. (1,-4) b. (1,4) c. (-1,4) and d. (4, -1)
Step-by-step explanation:
Im sorry if this did not help you but I tried.
Answer:
A (-1, 4)
Step-by-step explanation:
When you reflect over the y=x line the rule is that the Y and X switch places. So, (4, -1) ---> (-1, 4)
If a right triangle has two legs of 7m and 24m what is the length of the longest side? *
Answers
Answer:
It would be 24m
Step-by-step explanation:
The longest side of a right triangle is the hypotenuse.
Use the Pythagorean theorem to solve for the hypotenuse:
X = sqrt(7^2 + 24^2)
X = sqrt( 49 + 576)
X = sqrt(625)
X = 25
The longest side is 25m
Graph the following figure in the coordin
X(0,1), Y(4, - 2), Z(-5,-2)
The perimeter is
Answers
Answer: I am in highschool and im doing this stuff. If you find out the answer let me know please.
Rewrite the following expression: x3 + x5 =
Answers
Answer:
x + 8 = x8
Step-by-step explanation:
This is one of the many ways to rewrite this equation. The reason this is a way of rewriting it is because 3x plus 5x equals 8x and if you take away the variable from 3 and 5 and add the numbers together you get 8. So take the variable x add it to 8 and you get x8. Both equations have the same answer so therefor this is another way of writing the equation.
Please help !! I am having trouble, I keep getting this question wrong.
Answers
Answer:
sure
Step-by-step explanation:
I will do that okay
7. Solve the equation using inverse operations. 3 + x = 7
a.
b. x
Il
c. x = 16
d. x = - 16
Answers
subract 5 3/4 - 2 7/8
Answers
Answer:
2.875
Step-by-step explanation:
you have to change them into decimals. so 5 3/4 would be 5.75 and 2 7/8 would be 2.875. once you do that you can subtract
Which fraction is equivalent to this decimal?
0.16¯
Answers
Answer: 4/25 ILY <3
Step-by-step explanation:
Answer:
1/6?
Step-by-step explanation:
Xavier plays an online video game that allows him to control many different characters. Each character starts the game with 200 gold coins and receives 30 gold coins for each month that passes within the game. If Xavier controls 50 characters and the numbers of months passed within the game is represented by x which function can be used to determine the total number of gold coins that Xavier has collected in the game
Answers
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question is.
Xavier plays a video game that allows him to control many different characters.
Each character starts the game with 200 gold coins.
Each character receives 30 gold coins for each month that passes within the game.
Xavier controls 50 characters in the video game.
Which function shows the relationship between A(x), the total number of gold coins that Xavier has collected playing the game, and x, the number of months that have passed within the video game?
Your answer would simply be C. A(x) = 50(30x + 200)
Because, your basicaly puting it in an equation, and pluse i got it right on my test so yea
7 1/5 - 6 2/5 = ?
A. 1 4/5
B. 4/5
C. 13 3/5
D. 1 1/5
Answers
estimate 203*12 = answer it plzzz
Answers
Answer:
2,436
Step-by-step explanation:
Answer: 2400 estimated
Step-by-step explanation:
Real answer would be 2,436
How many subsets of 5 e elements can be made from a set of 7 elements?
Answers
Answer:
seems like this.
Step-by-step explanation:
From set theory, the factorial combinations are 2^N where N are the number of induvidual mambers of the set and that includes the null set. If we require that one element be the minimum to form a set, this eliminates the empty set (and there is only one empty set) so we must subtract one from the formula. The correct answer is therefore 2^N-1. In this case that is 2^5–1 = 31.
(1.2/0.375-0.2)/(6.16/15.4+0.8)=(0.016/0.12+0.7)/x
Answers
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Answer:
x = 1/3
Step-by-step explanation:
The solution to ...
a = b/x
is ...
x = b/a
It is convenient to let a calculator do the tedious arithmetic.
x = (0.016/0.12+0.7)/((1.2/0.375-0.2)/(6.16/15.4+0.8))
x = 1/3
0.01 is 1/10 of what? Pls help
Answers
Answer:
A thousand
Step-by-step explanation:
If correct please give brainliest <3
I’m not sure if this is true but lol
please help me I don't understand ;-;
Answers
Answer:
-3.8
Step-by-step explanation:
to find the average [mean] of a data set, you add all the numbers [-19] and then divide by the amount of numbers [5]
Answer:
-3.8
Step-by-step explanation:You add all of the number together and divde the sum by however man numbers. (-4)+(-7)+(-2)+(-4)+(-2)=-19.-19 divided by 5 equals -3.8
show the steps you take and the final answer you get when you evaluate the expression.
Answers
Answer:
28
Step-by-step explanation:
(4+5x)-x^2
(4+5(3))-3^2
(4+15)+9
19+9
28
What is the distance between 1.5 and -2
Answers
Answer:
-1.5,0,1
Step-by-step explanation:
in 2009,Alaska suffered an earthquake of magnitude m=7.1. find the intensity of that earthquake
Answers
Answer:
Here you go :)
7.0 to 7.9 Major earthquake. Serious damage. 20
Or
Major 7 - 7.9
________
Answered by James
Step-by-step explanation: