3. A company makes a profit of $60 per software program and $45 per video game. The company can produce at most 300 software programs and at most 200 video games per week. Total production cannot exceed 400 items per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work. Answer:

Answers

Answer 1

Answer:

Step-by-step explanation:

This problem is a maximization problem

the objective is to maximize profit

let software program be x

and video program be y

the objective function is

60x+45y>P-------1

constrains

300x+200y<400------2

we can further reduce the expressions

3x+2y<4-----2


Related Questions

What are the values of 7’s in 6,778

Answers

the answer is 70 & 700

Need help on this question please

Answers

Answers:x = 13 and y = 11

===========================================================

Explanation:

Check out the diagram below. I've added in the label (4x+13) degrees to the angle adjacent to the (9x-2) degree angle. This is valid due to corresponding angles being congruent when we have parallel lines like this.

The two angles form a 180 degree straight angle

(4x+13) + (9x-2) = 180

4x+13 + 9x-2 = 180

(4x+9x) + (13-2) = 180

13x + 11 = 180

13x+11-11 = 180-11 .... subtracting 11 from both sides

13x = 169

13x/13 = 169/13 .... dividing both sides by 13

x = 13

We can verify this by noticing that

4x+13 = 4*13+13 = 65

9x-2 = 9*13-2 = 115

So, (4x+13)+(9x-2) = (65)+(115) = 180, showing the two angles are supplementary.

-----------------

The angles (9x-2) and (6y-1) are also a linear pair. They are adjacent and supplementary

Let's use x = 13 to find the value of y

(9x-2) + (6y-1) = 180

9x-2+6y-1 = 180

9x+6y-3 = 180

9*13+6y-3 = 180 .... plug in x = 13

117+6y-3 = 180

6y+114 = 180

6y+114-114 = 180-114 .... subtract 114 from both sides

6y = 66

6y/6 = 66/6 ...... divide both sides by 6

y = 11

To help confirm,

6y-1 = 6*11-1 = 65

which adds onto the (9x-2) = 115 degree angle to get 180.

-----------

Side note: as an alternative, you can solve 4x+13 = 6y-1 to get the same y value. This is because alternate exterior angles are congruent when we have parallel lines like this.

Explain what is wrong with the following (3 - 5)(4) = 3(4) - 5

Answers

Answer:

the equation does not proove

Step-by-step explanation:

l.h.s

(3-5)(4)

12-20

-8

r.h.s

3(4)-5

12-5

7

therefore, l.h.s is not equal to r.h.s so the equation is wrong

Which type of transformation preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd function g(x)? vertical translation horizontal translation reflection over the x-axis reflection over the y-axis

Answers

Answer:

Vertical Translation.

Step-by-step explanation:

If you shift a parabole up, for example, it is still symmetric about the y-axis. If you shift it left or right, it loses its symmetry. Reflection maintains symmetry for both even and odd functions.

Answer:

vertical translation

Step-by-step explanation:

Jeri drew the following model to represent the fraction 2/3. What's wrong with her model? had to redo it

Answers

Answer:

It is not an equal diagram it is showing 1/2 instead of 2/3

Step-by-step explanation:

HOPE THIS HELPS!!!     (mark brainliest)

The model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The model is representing 2/3.

As we can see in the picture the model is not representing 2/3 because 2/3 means 2 parts of 3 whole.

It is not an equal diagram it is showing 1/2 instead of 2/3

Thus, the model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.

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solve for z: 11=6|-2z| -5

Answers

Answer:

the roots are {-4/3, 4/3}

Step-by-step explanation:

Begin the solution of 11=6|-2z| -5 by adding 5 to both sides:

11=6|-2z| -5 becomes 16 = 6|-2z|.

Dividing both sides by 12 yields

16/12 = |-z|

There are two cases here:  first, that one in which z is positive and second the one in which z is negative.

If z is positive, 4/3 = -z, and so z = -4/3, and:

If z is negative, 4/3 = z

Thus the roots are {-4/3, 4/3}

how do you know if an number composite or not

Answers

Answer:

A prime number has only two factors: 1 and itself. A composite number has more than two factors

Step-by-step explanation:

Can i have a thanks?

is (t+ 2)^2-4t binomial

Answers

Answer:

I thinks so

Step-by-step explanation:

Solve the following function. Show all work.
If g(x) = – 3x + 2, find g(–4).

Answers

G (x) = G (-4)
First plug in -4 to all the x’s
G(-4)= -3(-4) + 2
Next, you solve it. We start with multiplication.
G(-4)= 12+2
Finally, add 12 + 2.
G(-4)=14
If this isn’t the answer, you can go deeper into the problem by finding the value of G.
We can do this by getting G by itself.
G(-4)=14
We can get G by itself, by dividing.
G(-4)=14
-7/2
-3 1/2

help me please this is late

Answers

To find explicit formulas, you need two things. The common difference and the first term.

For example, #18

The first term = -15

The common difference = -20 -(-15) = -20 + 15 = -5

y = A + B(n - 1)

A = our first term

B = our common difference

n = the term you want to find in the sequence.

Leta plug our numbers in from #18

y = -15 + -5(n - 1)

Let's find the 4th term in the sequence.

y = -15 + -5(4 - 1)

y = -15 + -5(3)

y = -15 + -15

y = -30

What number is 10th times as much as 17.1

Answers

Answer: 170

Step-by-step explanation:

you move the decimal to the right one time.

help me asap!!!!!!!!?!??

Answers

Answer:

9.225 x 10^18 is what it is in standard form

Step-by-step explanation:

Answer:

ummm, it should be 9,225,000,000,000,000,000. =D

Step-by-step explanation:

move the decimal at the end of my answer, over to the left 18 spaces, and it should end up back at 9.225!

(a) Find and identify the traces of the quadric surface x2 + y2 − z2 = 81 given the plane. x = k Find the trace.

Answers

Answer:

Hyperbola

Step-by-step explanation:

Consider [tex]x=k.[/tex]

Substitute [tex]x=k[/tex] in given equation [tex]x^2+y^2-z^2=81[/tex]

[tex]k^2+y^2-z^2=81[/tex]

[tex]\Rightarrow y^2-z^2=9^2-k^2[/tex]

[tex]\Rightarrow y^2-z^2=(9-k)(9+k)[/tex]

Here, different orientation for [tex]-9<k<9[/tex] then [tex]-9<k[/tex] or [tex]k<9.[/tex]

Hence, the surface equation represents a trace of the hyperbola.

2+98635.984463-97.8÷75.6+347+2363743769= PLEASE HELP!!

Answers

Answer:

122620.6908

Step-by-step explanation:

Just follow PEMDAS and it's not hard at all.

Answer:

Step-by-step explanation:

Choose the option that best completes the sentence.
The amount of energy it takes to lift a box might be a function of:
O A. the weight of the things inside the box.
O B. where the box was shipped from.
O c. the day of the week the box is being lifted.
D. the color of the box.

Answers

A. The weight of the things inside the box

The correct sentence will be;

⇒ The weight of the things inside the box.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The sentence is,

''The amount of energy it takes to lift a box might be a function of;''

Now,

Since, The sentence is,

''The amount of energy it takes to lift a box might be a function of;''

We know that;

The amount of energy it takes to lift a box might be a function of the weight of the things inside the box.

Thus, The correct sentence is;

⇒ The weight of the things inside the box.

Learn more about the mathematical expression visit:

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In matrix T, what is the value of element t13?
Time spent making phone calls

Rows represent the person calling

Columns represent the person called

Answers

Answer:

7

Step-by-step explanation:

In matrix T, the value of t₁₃ will be 7.

What is Matrix?

A set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.

We have to given that;

The matrix T is shown.

We know that;

In any matrix,

⇒ The element a₁₁ shows the position of a₁₁ is in first row and first column.

Thus, The element t₁₃ shows the position of t₁₃ is in first row and third column.

So, In matrix T,

⇒ t₁₃ = 7

Learn more about the matrix visit:

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I can go alone and fly and get 20% off
the regular round-trip fare of $380.
I will have to take a taxi to and
from the college at a cost of $6.30 per
trip. I will have to be on compus
for 2 extra meals at a cost of $4.75 per
meal, and I will need to make
telephone calls to my parents at a cost
of $15.
What is the price of the student round-trip fare?. What is the total cost of the taxi fare?. What is the total cost to visit the college

Answers

The total cost to host the college is $341.1. The price of the student round trip fare is $304 and the taxi fare is going to cost you $12.6

Look at this angle what is the vertex

Answers

Answer:

T

Step-by-step explanation:

T is the vertex because vertex is the point from which the arms of any angle form.

Six more than the product of three and a number

Answers

Answer:

6+3x

Step-by-step explanation:

A number will be given the variable x

So:

6+(3x)

Answer:

3x + 6.

Step-by-step explanation:

The number is x.

Simplify the expression: 8(5+5v)+5v

Answers

Answer:

40+45v

Step-by-step explanation:

first you distribute 8 to 5 and 5v which gets you 40+40v+5v

then you add the like terms which gets you 40+45v

Can someone help me with this question?

Answers

Answer:

6×2/5 --> greater than 1

1×3/8 --> less than 1

4×1/4 --> equal to 1

5×3/4 --> greater than 1

2×1/2 --> equal to 1

3×1/3 --> equal to 1

Step-by-step explanation:

6×2/5 = 12/5 = 2 2/5

1×3/8 = 3/8

4×1/4 = 1

5×3/4 = 23/4 = 5 3/4

2×1/2 = 1

3×1/3 = 1

Convert 50 centimeters to kilometers

Answers

Answer: 0.0005 milometers

The answer would be 0.0005 cm

What triangle is a 8cm triangle

Answers

Answer:

equilateral triangle.

3a − 2a + 4 = 16 Solve for a.

Answers

Answer:

a=12

Step-by-step explanation:

[tex]3a-2a+4=16\\\\(3a-2a)+4=16\\\\(3-2)a+4=16\\\\1a+4=16\\\\a+4-4=16-4\\\\a=12[/tex]

Solve by completing the square x^2+6x+13=0

Answers

Answer:

x = -3 + 2 i or x = -3 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 6 x + 13 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 13 from both sides:

x^2 + 6 x = -13

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 9 to both sides:

x^2 + 6 x + 9 = -4

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 3)^2 = -4

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 3 = 2 i or x + 3 = -2 i

Hint: | Look at the first equation: Solve for x.

Subtract 3 from both sides:

x = -3 + 2 i or x + 3 = -2 i

Hint: | Look at the second equation: Solve for x.

Subtract 3 from both sides:

Answer: x = -3 + 2 i or x = -3 - 2 i

If you get this you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden. Good luck! If you get it correct your answer will be deleted and l will message you to continue the game.

Answers

Answer:

34

Step-by-step explanation:

Answer:

5 people wil be left there as you werw also there.

The temperature at 2:00 pm is 27 degrees. At 2:00 am the temperature has fallen to -4 degrees. What is the difference in temperature from 2:00 pm to 2:00 am?

Answers

Answer:

The difference in temperature = 27-(-4)=31 degree

Step-by-step explanation:

A 3-column table has 3 rows. Column 1 is labeled Item with entries bread, peanut butter, jelly. Column 2 is labeled Quantity with entries 25 loaves, 2,400 ounces, 2,400 ounces. Column 3 is labeled unit price with entries 1 dollar and 95 cents per loaf, 16 cents per ounce, 8 cents per ounce. The table shows the quantity and unit prices for the items Camillo bought. Total cost for bread: ...? Total cost for peanut butter: .....? Total cost for jelly: ....? If he would have spent $986.50 without better-buy unit prices, how much money did he save?

Answers

Answer:

Bread total: 48.75

Penute butter: 384

Jelly: 192

He would have saved 361.75

Step-by-step explanation:

986.50- 48.75- 394-192= 361.75

Solve for g.

C=1/2gq

Answers

Answer:

[tex] g = \frac{2c}{q}[/tex]

Step-by-step explanation:

[tex]c = \frac{1}{2} gq \\ 2c = gq \\ \huge \red{ \boxed{ g = \frac{2c}{q} }}[/tex]

Answer:

g = 2C/q

Step-by-step explanation:

C * (2) = 1/2gq * (2)  

2C / q= gq / q

2C/q = g

Find the perimeter P of ▱JKLM with vertices J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2). Round your answer to the nearest tenth, if necessary.

Answers

Given:

Vertices of JKLM are J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2).

To find:

The perimeter P of a parallelogram JKLM.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, we get

[tex]JK=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(-5-\left(-2\right)\right)^2}[/tex]

[tex]JK=\sqrt{\left(-5+3\right)^2+\left(-5+2\right)^2}[/tex]

[tex]JK=\sqrt{\left(-2\right)^2+\left(-3\right)^2}[/tex]

[tex]JK=\sqrt{4+9}[/tex]

[tex]JK=\sqrt{13}[/tex]

Similarly,

[tex]KL=\sqrt{\left(1-\left(-5\right)\right)^2+\left(-5-\left(-5\right)\right)^2}=6[/tex]

[tex]LM=\sqrt{\left(3-1\right)^2+\left(-2-\left(-5\right)\right)^2}=\sqrt{13}[/tex]

[tex]JM=\sqrt{\left(3-\left(-3\right)\right)^2+\left(-2-\left(-2\right)\right)^2}=6[/tex]

Now, perimeter P of ▱JKLM is

[tex]P=JK+KL+LM+JM[/tex]

[tex]P=\sqrt{13}+6+\sqrt{13}+6[/tex]

[tex]P=2\sqrt{13}+12[/tex]

[tex]P=2(3.61)+12[/tex]

[tex]P=7.22+12[/tex]

[tex]P=19.22[/tex]

[tex]P\approx 19.2[/tex]

Therefore, the perimeter P of ▱JKLM is 19.2 units.

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