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olga2289 [7]
3 years ago
13

A company had 41 employees in order 980 uniforms for them if they want to give each employee same number of uniforms how many mo

re uniforms should they order so that they don't have any extra
Mathematics
1 answer:
Tema [17]3 years ago
3 0

Answer:

They would have to order 4 more uniforms in order to distribute an equal amount to each employee

Step-by-step explanation:

First we have to calculate the number of maximum uniforms that can be given to each employee equally

For this we simply divide the number of uniforms by the number of employees and look only at the whole number

980/41 = 23.92 = 23

we don't round we just take the decimals

now we multiply the number of maximum uniforms that we can give each one by the number of employees

23 * 41 = 943

to the 980 uniforms we subtract the 943

980 - 943 = 37

Calculate how much is left to 37 to reach 41

41 - 37 = 4

This means that they would have to order 4 more uniforms in order to distribute an equal amount to each employee

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Find the slope of the line passing through (-9,-6) and (-4,5)
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11/5

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = (5 - -6)/(-4 - -9)

    = (5+6)/( -4+9)

   = 11/5

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What is the probability of a coin being tossed 7 times and landing on all heads?
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What do you multiply to get 600 as perfect cube
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The quantity demanded x of a certain brand of DVD player is 3000/week when the unit price p is $485. For each decrease in unit p
ANTONII [103]

Answer:

Demand Equation: q = 15125 - 25p.

Supply Equation: 80p - 24000 = 9q.

Equilibrium Price: $525.

Equilibrium Quantity: 2000 units.

Step-by-step explanation:

To solve this question, first, the demand equation has to be calculated. Let price be on the y-axis and quantity by on the x-axis. It is given that p = $485 when q = 3000 units. This can also be written as (q₁, p₁) = (3000, 485). It is also given that when the price goes down by $20, the quantity increases by 500 units. Therefore, (q₂, p₂) = (3500, 465). Due to the statement "For each decrease in unit price of $20 below $485, the quantity demanded increases by 500 units", the demand function will be linear i.e. a straight line. This is because the word "for each" has been used. Therefore, finding the equation of the demand function:

(p - p₁)/(q - q₁) = (q₂ - q₁)/(p₂ - p₁).

(p - 485)/(q - 3000) = (465 - 485)/(3500 - 3000).

(p - 485)/(q - 3000) = (-20)/(500).

(p - 485)/(q - 3000) = -1/25.

25*(p - 485) = -1*(q - 3000).

25p - 12125 = -q + 3000.

25p + q = 15125.

q = 15125 - 25p. (Demand Equation).

Second, find the supply equation. It is given that the suppliers will not sell the product below or at the price of $300. Therefore, (q₁, p₁) = (0, 300). Also, the suppliers will sell 2000 units if the price is $525. Therefore, (q₂, p₂) = (2000, 525). Since it is mentioned that supply equation is linear, therefore:

(p - p₁)/(q - q₁) = (q₂ - q₁)/(p₂ - p₁).

(p - 300)/(q - 0) = (525 - 300)/(2000 - 0).

(p - 300)/(q) = (225)/(2000).

(p - 300)/(q) = 9/80.

80*(p - 300) = 9*(q).

80p - 24000 = 9q. (Supply Equation).

Equilibrium exists when demand = supply. This means that the demand and the supply equations have to be solved simultaneously. Therefore, put demand equation in supply equation:

80p - 24000 = 9(15125 - 25p).

80p - 24000 = 136125 - 225p.

305p = 160125.

p = $525.

Put p = $525 in demand equation:

q = 15125 - 25p.

q = 15125 - 25(525).

q = 15125 - 13125.

q = 2000 units.

To summarize:

Demand Equation: q = 15125 - 25p!!!

Supply Equation: 80p - 24000 = 9q!!!

Equilibrium Price: $525!!!

Equilibrium Quantity: 2000 units!!!

8 0
3 years ago
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