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3 years ago

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if 203 people are sharing 675 pounds of spaghetti, 414 pounds of tomato sauce and 145 of meatballs, how many pounds of food will

they each get?

2 answers:

Sholpan [36]3 years ago

8 0

Steps:
- add the amount of pounds of food in total
- 675+414+145
- divide by the amount of people
- (answer of first step) / 203

Hope it helps :)

zhenek [66]3 years ago

3 0

The 203 people will each get 6 pounds of food

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Find the minimum cost of producing 60000 units of a product, where x is the number of units of labor, at $99 per unit, and y is

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Answer:

The minimum cost of producing 60000 units of a product is $105867

Step-by-step explanation:

Since x is the number of units of labor, at $99 per unit, and y is the number of units of capital expended, at $84 per unit, The cost C(x,y) is given by:

$C(x, y) = 99x + 84y$

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For the minimum cost:

$100x^{0.25}y^{0.75}=60000\\x^{0.25}(\frac{33x}{28} )^{0.75}=600\\x^{0.25}(\frac{33}{28} )^{0.75}x^{0.75}=600\\x^{0.25+0.75}*1.131=600$

Using the langrage multiplier,

$99=0.25(100)x^{-0.75}y^{0.75}\lambda...(1\\84=0.25(100)x^{0.25}y^{-0.25}\lambda...(2$

Dividing both equation 1 and 2

$y=\frac{33}{28}x$

Substituting $y=\frac{33}{28}x$ in $100x^{0.25}y^{0.75}=60000$ , we get:

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Substituting $x_{min}=530.44$ labor units in $y=\frac{33}{28}x$ , we get

$y_{min}=\frac{33}{28}*530.44=625.16$ labor unit

$C(x, y) = 99x + 84y=99(530.44)+84(635.16) = $105867\\$

The minimum cost of producing 60000 units of a product is $105867

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3 years ago