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maxonik [38]
4 years ago
10

1) (Modelo lineal de costo) Juan Chávez produce juguetes didácticos, para la fabricación de estos juguetes tiene costos fijos me

nsuales de $2000 y el costo de producir cada unidad es $25. Determine una ecuación que relacione los costos. ¿Cuál es el costo de producir 200 juguetes?
Mathematics
1 answer:
grandymaker [24]4 years ago
7 0

Answer:

C = 2000 + 25 * X

$ 7000

Step-by-step explanation:

We have that the value of the total costs is equal to the fixed costs plus the variable costs.

As fixed costs we have $ 2000 and variable cost we have $ 25 for each unit, that is, the equation for total costs would be:

Let x be the number of toys, then:

C = 2000 + 25 * X

If there are 200 toys, the cost would be:

Replace x with 200:

C = 2000 + 25 * 200

C = 7000

In other words, the cost of producing 200 toys would be $ 7000.

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If m<ECD is six less than five times m<BCE. and m<BCD = 162°, find each measure.(Sorry bout using the wrong signs, but
tia_tia [17]

Answer:

m∠BCE = 28° and m∠ECD = 134°

Step-by-step explanation:

* Lets explain how to solve the problem

- The figure has three angles: ∠BCE , ∠ECD , and ∠BCD

- m∠ECD is six less than five times m∠BCE

- That means when we multiply measure of angle BCE by five and

 then subtract six from this product the answer will be the measure

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∴ m∠ECD = 5 m∠BCE - 6 ⇒ (1)

∵ m∠BCD = m∠BCE + m∠ECD

∵ m∠BCD = 162°

∴ m∠BCE + m∠ECD = 162 ⇒ (2)

- Substitute equation (1) in equation (2) to replace angle ECD by

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∴ m∠BCE + (5 m∠BCE - 6) = 162

- Add the like terms

∴ 6 m∠BCE - 6 = 162

- Add 6 to both sides

∴ 6 m∠BCE = 168

- Divide both sides by 6

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- Substitute the measure of angle BCE in equation (1) to find the

  measure of angle ECD

∵ m∠ECD = 5 m∠BCE - 6

∵ m∠BCE = 28°

∴ m∠ECD = 5(28) - 6 = 140 - 6 = 134°

* m∠BCE = 28° and m∠ECD = 134°

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