Help me pls thank you so much

Answer:

Step-by-step explanation:

A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $2000 when sold. A ranch-style house requires $40,000 of capital and provides an $8000 profit. If the contractor has $3.2 million of capital on hand, how many houses of each type should she build for maximum profit?

? colonials

? ranches

For maximum profit, the contractor should build 80 colonial houses and 20 ranch-style houses. The maximum profit achievable is $740,000.

Let x be the number of colonial houses built.

Let y be the number of ranch-style houses built.

Now, we can set up the objective function, which represents the total profit:

Total Profit (P) = 3000x + 7000y

The total cost of the houses built cannot exceed the available capital, which is $3.8 million (or $3,800,000):

30,000x + 40,000y ≤ 3,800,000

The number of building lots used cannot exceed the total number of lots available, which is 100:

x + y ≤ 100

Also, we need to consider that the number of houses (x and y) must be non-negative:

x ≥ 0

y ≥ 0

Now, we have the linear programming model with the objective function and constraints.

We need to find the values of x and y that maximize the total profit (P).

Graph the feasible region determined by the constraints (x + y ≤ 100, x ≥ 0, y ≥ 0, 30,000x + 40,000y ≤ 3,800,000), and then evaluate the objective function (P = 3000x + 7000y) at each corner point of the feasible region to find the maximum profit.

The feasible region is a polygon with vertices at the following points:

(0, 0)

(0, 95) (Intersection of x = 0 and y = 95)

(80, 20) (Intersection of x = 80 and y = 20)

(100, 0) (Intersection of x = 100 and y = 0)

Now, evaluate the objective function (P) at each corner point:

(0, 0): P = 0

(0, 95): P = 665,000

(80, 20): P =  740,000

(100, 0): P = 300,000

The maximum profit of $740,000 occurs when the contractor builds 80 colonial houses and 20 ranch-style houses

Hence, for maximum profit, the contractor should build 80 colonial houses and 20 ranch-style houses.

To learn more on Linear programming click here:

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Answer:

3 1/2 miles

Step-by-step explanation:

because 6 - 2 1/2 = 3 1/2

Answer: $8700.

Step-by-step explanation:

The equation we can use is p  x  r^years.

p is the original value ($12000).

r is our multiplier, it goes down by 10% so our multiplier is 1-0.1 giving us 0.9.

IT is 2001 to 2004 so 3 years so we do r to the power of 3.

So we use 12000 x 0.9^3.

This is equal to 8748, to the nearest 100 dollars its $8700.

Answer: 283

Step-by-step explanation:

To do this, it is helpful to get an equation you can use to solve any term.

This equation is:

[tex]13 + 9(n-1)[/tex]

So simply plug in 31 for n to get

[tex]13+9(31-1)[/tex]

[tex]=13+270[/tex]

[tex]=283[/tex]

Answer:

283

Step-by-step explanation:

9x+4=9(31)+4=283

13+9=22

22+9=31

9x

9(1)=9 9+4=13

9x+4

Answer:

1.  n=10

2. n=35

3. n=6

4. n=0 ? not sure for this one. two variables in the proportion

5. n=36

Step-by-step explanation:

set each set of proportion equal to each other and do cross multiplication

hope this helps !

how are you ?

Answer:

Step-by-step explanation:

Please take a look of the attached photo for the solution.

Answer:

-34 5/6

Step-by-step explanation:

Hope this helps

Have a blessed day

Step-by-step explanation:

as just answered in the other question, the y-intercept is simply the y-value, when x=0.

it is -5 for function 1.

and function 2 clearly crosses the y-axis at y = -7, which is the y-intercept.

as -5 is greater than -7, function 1 had the greater y- intercept.

Answer:

9/10

Step-by-step explanation: the magic mushroom said so

Answer:

100°

Step-by-step explanation:

Answer:

∡5=100°

Step-by-step explanation:

∡5 is perpendicular to the 100° above, therefore your answer is ∡5=100°.

Brainliest would be appreciated! :-)

Step-by-step explanation:

we need to see how many cubes fit into every dimension.

we can fit 4 cubes along the 1 in width. as 4×1/4 = 1 in.

we can fit 15 cubes along the 3 3/4 in length :

3 3/4 = 12/4 + 3/4 = 15/4

15/4 / 1/4 = 15/4 × 4/1 = 4×15 / 4×1 = 15

we can put 6 cubes on top of each other fit the height of 1 1/2 in

1 1/2 = 2/2 + 1/2 = 3/2 = 6/4

6/4 / 1/4 = ... = 6 (as above - simply 1/4 fits 6 times into 6/4).

so, we have

4 × 15 × 6 = 360

we need 360 cubes to fill the box.

Answer: That makes no sense. Maybe did your copy and paste corrupt? Or mistyped the question? Get back to me and I’ll help!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer: least

Step-by-step explanation: because 0.23 is closer to 1

Least

If you removed the last term from 0.136, it would become 0.13

Compared to 0.25, it is lower.

Answer:

2 and 3

Step-by-step explanation:

7/3=2 1/3

So it lies between 2 and 3

2 1/3 is lesser that 3 but more than 2.

Answer:

+1/-1

Step-by-step explanation:

assuming the original phrase is  x^2

x^2 + 10 = 9

x^2 = 1

x = +/- 1

Answer:

x=-1

Step-by-step explanation:

8-2x=10

(8-2x)-8=10-8

-2x=2

-2x/-2=2/-2

x=-1

Answer:

Slope (known as m) = -3/2; Y-int (known as b) = 3

Step-by-step explanation:

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{{0}-{3}}{{2}-{0}}[/tex]

m = [tex]\frac{-3}{2}[/tex]

b = [tex]3[/tex]

Answer:

its C

1.convert the mixed number to an improper fraction

([tex]\frac{-20}{6\\}[/tex] x [tex]\frac{2}{3}[/tex] )

2. reduce the numbers with the greatest common factor (2)

[tex]\frac{-20}{3}[/tex] x [tex]\frac{1}{3}[/tex]

3. then multiply and get

[tex]\frac{-20}{9}[/tex]

4. then reduce to get

-2[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

Answer: Hello! When a graph is translated 4 units down you are moving all of the y values. This makes it the easiest translation that we do, other than no translation! All you have to do is subtract 4. Your equation is y=x2 - 4. If you wanted to move the graph up it is addition and if you want to move it down it is subtraction. When you translate right to left it is more complicated! Hope this helps.  :))

Answer:

it is true

it's a quadralateral

Answer:

3¹² is answer

Step-by-step explanation:

3^(2+4+6)

3^12

You didn't provide any graphs.

Answer:

y= -5x + 25

Step-by-step explanation:

y = mx + b

m(slope) = descending 5ft/sec means the height will decrease so the slope must be negative

b(y-int) = starting height of 25 ft added