Sanderson Manufacturing produces ornate, decorative wood frame doors and windows. Each item produced goes through three manufacturing processes: cutting, sanding, and finishing. Each door produced requires 1 hour in cutting, 30 minutes in sanding, and 30 minutes in finishing. Each window requires 30 minutes in cutting, 45 minutes in sanding, and 1 hour in finishing. In the coming week Sanderson has 40 hours of cutting capacity available, 40 hours of sanding capacity, and 60 hours of finishing capacity. Assume all doors produced can be sold for a profit of $500 and all windows can be sold for a profit of $400.

Required:
a. Formulate an LP model for this problem.
b. Sketch the feasible region.
c. What is the optimal solution?

Answer:

were ate circles I'm suppose to use

Step-by-step explanation:

where is the circles

Answer: Algebraic: 15-22

Simply:-7

Step-by-step explanation:

Less than means to take away from, so in this case we are taking away 22 from 15

Answer:

150 adults and 270 children

Step-by-step explanation:

Let there are x adults and y children.

ATQ,

x+y=420

or

y=420-x ....(1)

Adult visitors pay $3 and children visitors pay $1. on one day, the zoo collected a total of $720.

ATQ,

3x+y=720...(2)

Put equation (1) in equation (2).

3x+420-x=720

2x=720-420

2x=300

⇒x=150

Put the value of x in equation (1)

y=420-150

⇒y=270

So, there are 150 adults and 270 children visited.

Answer:

88% of people were infected by the cold virus

Step-by-step explanation:

153/135 multiplied by 100 will give the answer to be 88.235%. round to nearest percent is 88%

Answer:

21

Step-by-step explanation

They jumped 3 meters above the water, jumped down 18, 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18, thats 15 away, the distance is 15, if I am worng (probably am) try 20, if not, Im retarted and dont trust me with this.

9514 1404 393

Answer:

  21 m

Step-by-step explanation:

The difference in height between +3 meters and -18 meters is ...

  3 -(-18) = 3 +18 = 21 . . . . meters

Answer:

6=4 1/6+10 1/6

Step-by-step explanation:

here ya go!!!!

6=-4 1/6+b

4 1/6+6=10 1/6(this is b)

4 1/6+(-4 1/6)(these cross out)

sooo

6=-4 1/6+10 1/6

Answer:

35.56

Step-by-step explanation:

multiply the length value by 2.54

Answer:

35.56 cm.

Step-by-step explanation:

multiply the length value (the number) by 2.54

Answer:

P = 20x - 12

Step-by-step explanation:

The Perimeter of a Rectangle is 2l + 2w, where l is the length and w is the width.

Now, let's substitute the given values.

2(8x - 9) + 2(2x + 3)

= 16x - 18 + 4x + 6

= 20x - 12                     <--- This is the answer

Hope this helps!

Answer:

5

Step-by-step explanation:

Answer:

51.7 / 4 = 12.925

Step-by-step explanation:

Answer:

im dumb too just a little

Answer:

yes

Step-by-step explanation:

Answer:

I think the answer is B

Step-by-step explanation:

he would need to factor 4x² in order to get his answer not just 4x

Answer:

834100

Step-by-step explanation:

1. Move the decimal FIVE times to the right

8.341 ----> 834100.

2. Solution

834100

Answer:

Step-by-step explanation:

The sum of opposite angle and sides of a parallelogram is 180 . If a parallelogram JKLM has angle measures J(2 x +9) and M(6 x -1), then <J + < M = 180

Substitute:

2 x +9+6x-1 = 180

collect like terms;

2x+6x+9-1 = 180

8x+8 = 180

8x = 180-8

8x = 172

x = 172/8

x = 21.8°

For the shape to be a quadrilateral, then the measure of angle k must 128 degrees

For quadrilateral PQRS to be an actual quadrilateral, then:

[tex]J + M = 180[/tex] implies that:

[tex]2x + 9 + 6x -1 = 180[/tex]

Collect like terms

[tex]2x + 6x = 180 -9 +1[/tex]

[tex]8x = 172[/tex]

Divide both sides by 8

[tex]x = 21.5[/tex]

We have:

[tex]K = M[/tex]

This becomes

[tex]K = 6x -1[/tex]

Substitute 21.5 for x

[tex]K = 6\times 21.5 -1[/tex]

[tex]K = 129 -1[/tex]

Subtract 1 from 129

[tex]K = 128[/tex]

Hence, the measure of angle K must be 128 degrees

Read more about quadrilaterals at:

https://brainly.com/question/25696839

Answer:

well I actully you do 17,125 times 3 and then you get your answer

Step-by-step explanation:

17,125 times 3

Answer:

210,541

Step-by-step explanation:

17125 x 3 = 51375

51375 + 159166 = 210541

Answer:fgh

Step-by-step explanation:

Answer:

4.1

Step-by-step explanation:

Answer:

The probability that Archie will receive a grade higher than a B in the course is 0.2164.

Step-by-step explanation:

We are given that Archie learns that 93% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 11% of past students received a grade higher than B.

Let B = event that the student received a grade higher than B.

and T = event that the student discussion sessions with the TA.

So, P(B) = 0.11 and P(T) = [tex]\frac{4}{18}[/tex] = 0.22

Also, the probability that the students who did not attend TA sessions received a grade of B or below in the course = P(B'/T') = P(not B/not T) = 0.92

Now, we have to find the probability that Archie will receive a grade higher than a B in the course given he attended the discussion sessions with the TA = P(B/T)

As we know that the conditional probability formula is given by;

                           P(B/T) = [tex]\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}[/tex]

Now, as it is given that P(not B/not T) = 0.92

So, [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{\text{P(not T)}} =0.92[/tex]

      [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - \text{P(T)}} =0.92[/tex]

      [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - 0.22}} =0.92[/tex]

[tex]{\text{P}(\text{not B} \bigcap \text{not T})} =0.92\times 0.78[/tex]

[tex]{\text{P}(\text{not B} \bigcap \text{not T})}[/tex] = 0.7176

Also, [tex]{\text{P}(\text{ B} \bigcup \text{ T})}= 1 - {\text{P}(\text{not B} \bigcap \text{not T})}[/tex]

[tex]{\text{P}(\text{ B} \bigcup \text{ T})}[/tex] = 1 - 0.7176 = 0.2824  

Now, the formula for [tex]{\text{P}(\text{ B} \bigcup \text{ T})}[/tex] is given by;

[tex]{\text{P}(\text{ B} \bigcup \text{ T})} = \text{P(B)} + \text{P(T)} - {\text{P}(\text{ B} \bigcap \text{ T})}[/tex]

0.2824 = 0.11 + 0.22 - [tex]\text{P(B} \bigcap \text{T})[/tex]

[tex]\text{P(B} \bigcap \text{T})[/tex] = 0.33 - 0.2824 = 0.0476

Now, the required probability P(B/T) = [tex]\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}[/tex]

                                                         = [tex]\frac{0.0476}{0.22}[/tex] = 0.2164

Hence, the probability that Archie will receive a grade higher than a B in the course is 0.2164.

Answer:

[tex]y+6=\frac{-8}{7} (x-7)[/tex]

Step-by-step explanation:

To find the slope of the equation use [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

So, [tex]\frac{-6-2}{7-0}[/tex] = [tex]\frac{-8}{7}[/tex]. Now we can use our slope and any of the two points to write in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex]. Using the point (7,-6), the formula will give [tex]y+6=\frac{-8}{7} (x-7)[/tex].

To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.

Answer:  $5.40

Step-by-step explanation:

First we will find the tax amount for Dave by multiplying 8% by 15.

8% * 15 =  1.2  

Now add it to the original price of the baseball which is 15.

15 + 1.2= 16.20  This means Dave paid $16.20 in total.

Now find the tax amount for Mel.

20 * 8% = 1.6  

Add 1.6 to the original price which is $20.

1.6 + 20 = 21.60    

Mel also paid $21.60 in total.

To find the difference  we need to subtract the lowest amount from the highest amount.

21.60 - 16.20 = 5.40

Answer:

x = 12 degrees

Step-by-step explanation:

(9x-4)+(6x+4)=180                 Linear Pair Theorem

15x=180                                  Simplified

180/15 = x                               Division Property of Equality

x = 12 degrees                       Simplified

Hope this helped! ;)

Answer:

the first graph

Step-by-step explanation:

Answer:

The first graph A)

Step-by-step explanation:

Hope this helps whoever needs it!

Answer:

yes you cam win money form playing this game but you can also lose money.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

2x-y+7

Let x = -5 and y = -2

2(-5) -(-2) +7

-10 +2 +7

-10 +9

-1

Answer:

dy/dx = e⁻²ᵗ (1 − t)

d²y/dx² = -e⁻³ᵗ (3 − 2t)

(1.5, ∞)

Step-by-step explanation:

x = eᵗ

y = te⁻ᵗ

dx/dt = eᵗ

dy/dt = -te⁻ᵗ + e⁻ᵗ

dy/dt = e⁻ᵗ (1 − t)

dy/dx = (dy/dt) / (dx/dt)

dy/dx = e⁻ᵗ (1 − t) / eᵗ

dy/dx = e⁻²ᵗ (1 − t)

d²y/dx² = d(dy/dx)/dt / (dx/dt)

d²y/dx² = (-e⁻²ᵗ − 2(1 − t) e⁻²ᵗ) / eᵗ

d²y/dx² = -e⁻²ᵗ (1 + 2(1 − t)) / eᵗ

d²y/dx² = -e⁻³ᵗ (3 − 2t)

The function is concave up when the second derivative is positive.  -e⁻³ᵗ is always negative, so the second derivative is positive when 3 − 2t is negative.

3 − 2t < 0

3 < 2t

t > 3/2

Or, in interval notation, (1.5, ∞).

Answer:

[tex]x=58[/tex]

Step-by-step explanation:

First, remember that the maximum degree of an angle totals 360°.

Since we already have 294°, this means that what is left must total [tex]360\textdegree - 294\textdegree= 66\textdegree[/tex].

Therefore, this means that our two smaller angles must equal 66°. So:

[tex](36)+(x-28)=66[/tex]

Solve for x. Add on the left:

[tex]x+8=66[/tex]

Subtract 8 from both sides. Therefore, the value of x is:

[tex]x=58[/tex]