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Minchanka [31]
3 years ago
15

Toys-A-Go makes toys at Plant A and Plant B. Plant A needs to make a minimum of 1000 toy dump trucks and fire engines. Plant B n

eeds to make a minimum of 800 toy dump trucks and fire engines. Plant A can make 10 toy dump trucks and 5 toy fire engines per hour. Plant B can produce 5 toy dump trucks and 15 toy fire engines per hour. It costs $30 per hour to produce toy dump trucks and $35 per hour to operate produce toy fire engines. How many hours should be spent on each toy in order to minimize cost? What is the minimum cost?
Mathematics
2 answers:
iris [78.8K]3 years ago
5 0

Answer:

88 hours on dump truck and 24 hours on fire engine.

The minimum cost will be $3480.

Step-by-step explanation:

Constraints will be :

d\geq 0 ; f\geq 0

Plant A:

10d+ 5f \geq1000

Plant B:

5d+15f \geq 800

The Cost function is given as:

C=30d+35f

Now graphing this we will get the points (0,200) , (88,24) , (160,0)

So, the answer would be 88 hours on dump truck and 24 hours on fire engine.

And cost will be :

C=30(88)+35(24)

= C=2640+840

= $3480

Citrus2011 [14]3 years ago
4 0

Answer:

88 hours on dump truck

24 hours on fire engine

Minimum cost is $3480

Step-by-step explanation:

D > 0; f >0

Plant A : 10d+5f >100

Plant B: 5d +15f >800

Cost:

C(x,y)+30D+35F

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In science class, the students observed 24 of the 300 frogs from the local aquarium. If 6 of the frogs observed had spots, how m
Alona [7]

Answer:

225 frogs

Step-by-step explanation:

Total population of frogs = 300 frogs.

Observed population of frogs = 24

6 of the 24 observed frogs had spots

Which means , the number of frogs that did not have spots = 24 - 6 = 18 frogs.

We were told to find how many of the total population can be predicted to NOT have spots. We would form a proportion.

If 24 frogs = 18 frogs with no spots

300 frogs = Y

Cross multiply

24Y = 300 × 18

Y = (300 × 18) ÷ 24

Y = 5400 ÷ 24

Y = 225 frogs.

This means out of 300 frogs, 225 frogs do not have spots.

Therefore, the total population that can be predicted to NOT have spots is 225 frogs.

the total population can be predicted to NOT have spots

3 0
2 years ago
At a sale this week, a desk is being sold for 128.80. This is a 72% discount from the original price. What is the original price
wel

Answer:

$460

Step-by-step explanation:

If the 128.80 is the price of the desk after a 72% discount, it means that 128.80 is 100-72=28% of the original price.

From here, we can divide 128.80 by 28 to find what 1% of the price is then multiply the value by 100 to find 100%, or the original price.

128.80/28 = 4.6

4.6 x 100 = 460

Original price = $460

Hope this helped!

6 0
2 years ago
2x - 2y = 10 and x + 2y = 11
Rufina [12.5K]

Answer:

Step-by-step explanation:

What are u asking for x or y

7 0
3 years ago
What is 2 5/6 +1 5/7
mylen [45]
Hi Cherise1cherhop lets break this equation down with these steps:

1) add the whole numbers first

2) find the LCD of the fractions and that would be 42 since 42 can go into both denominators through multiplication

3) make the denominators (bottom numbers) the same as the LCD (42)

4) simplify it, now the denominators are equal

5) join the denominators together

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8 0
3 years ago
Given: JK tangent, KH=16, HE=12 Find: JK.
Y_Kistochka [10]

Answer: JK=8

Step-by-step explanation:

You can observe in the figure that JK is a tangent and KH is a secant and both intersect at the point K. Then, according to the Intersecting secant-tangent Theorem:

JK^2=KE*KH

You know that:

KH=KE+HE

Then KE is:

KE=KH-HE

KE=16-12

KE=4

Now you can substitute the value of KE and the value of KH into  JK^2=KE*KH and solve for JK. Then the result is:

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7 0
3 years ago
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