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FromTheMoon [43]
3 years ago
7

1. Un proyecto habitacional Una contratista de viviendas ha subdividido una granja en 100 lotes para construcción. Ella ha diseñ

ado dos tipos de casas para estos lotes: colonial y estilo ranchero. Una casa colonial requiere $30,000 de capital y produce una utilidad de $4000 cuando se venda. Una casa estilo ranchero requiere $40,000 de capital y da una utilidad de $8000. Si la contratista tiene $3.6 millones de capital a la mano, ¿cuántas casas de cada tipo debe construir para obtener máxima utilidad? ¿Quedarán vacíos algunos de los lotes?
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

número de rancho en casa= 90 homes

número de coloniales = 0

Step-by-step explanation:

Deje que el número del colonial sea x

Deje que el número de rancho sea y

Entonces;

30000 x + 40000 y = 3.6 × 10⁶ ---- (1)

x = \frac{3.6*10^6-4*10^4y}{3*10^4}

entonces beneficio P = 30000 x + 8000 y

P = 30000(\frac{3.6*10^6-4*10^4y}{3*10^4})+8000 \ y

\frac{dP}{dy} = \frac{-4*10^4}{3*10}+8000

Para obtener el máximo beneficio; El número de casas de rancho debe ser lo más alto posible:

y = \frac{3.6*10^6}{4*10^4}

número de rancho en casa= 90 homes

número de coloniales = 0

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sattari [20]

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Step-by-step explanation:

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Need help with this question
mixer [17]

Hey there!!

How do we find the equation of a line ?

Ans : We take the slope and the y - intercept and get them together.

How do you find slopes?

Ans - In order to find slop, we will need to use the slop formula which is

( y₂ - y₁ ) / ( x₂ - x₁ )

The two points shown in the above question are

( 4 , -8 ) and ( 8 , 5 )

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Now take a coordinate and substitute it .

I will take ( 8 , 5 )

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soldi70 [24.7K]

Answer:

b. -84

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{a}{-7} - 7 = 5<u />

<u />

<u>Step 2: Solve for </u><em><u>a</u></em>

  1. Addition Property of Equality:                    \displaystyle \frac{a}{-7} - 7 + 7 = 5 + 7
  2. [Simplify] Add:                                             \displaystyle \frac{a}{-7}= 12
  3. Multiplication Property of Equality:           \displaystyle -7 \cdot \frac{a}{-7} = 12 \cdot -7
  4. [Simplify] Multiply:                                      \displaystyle a = -84

<u>Step 3: Check</u>

<em>Plug in a into the original equation to verify it's a solution.</em>

  1. Substitute in <em>a</em>:                    \displaystyle \frac{-84}{-7} - 7 = 5
  2. [Frac] Divide:                       \displaystyle 12 - 7 = 5
  3. Subtract:                              \displaystyle 5 = 5

Here we see that 5 does indeed equal 5.

∴ a = -84 is the solution to the equation.

7 0
3 years ago
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