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Elis [28]
3 years ago
15

The function c= 1.50(n-2) +5.50 represents the costs c in dollars of printing n invitation. Which of the following is not true

Mathematics
1 answer:
ratelena [41]3 years ago
7 0
For this case we have the following equation:
 
 Where,
 n: number of invitations:
 c: cost in dollars
 We note that the slope of the line for this case is:
 
 The slope represents the cost of printing each of the invitations.
 Therefore, it is false that the cost of printing each invitation is $ 5.50
 Answer:
 the following is not true:
 A) each invitation costs $ 5.50 to print.

I hope this helped you! Good luck!
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a rectangular box with two sqaure opposite ends is to hold 8000 cubic inches. find the dimensions of the cheapest box if tge rec
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the dimensions of the box that minimizes the cost are 5 in x 40 in x 40 in

Step-by-step explanation:

since the box has a volume V

V= x*y*z = b=8000 in³

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V= x*y² = b=8000 in³

and the cost function is

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C = a* 2*y² +  a* 2*x*y + 15*a* 2*x*y =  2*a* y² +  32*a*x*y

to find the optimum we can use Lagrange multipliers , then we have 3  simultaneous equations:

x*y*z = b

Cx - λ*Vx = 0 → 32*a*y -  λ*y² = 0 → y*( 32*a-λ*y) = 0 → y=32*a/λ

Cy - λ*Vy = 0  → (4*a*y + 32*a*x) - λ*2*x*y = 0

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128*a² /λ +  32*a*x - 64*a*x = 0

32*a*x = 128*a² /λ

x  = 4*a/λ

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x  = 4*a/λ = 4*5/4 in = 5 in

y=32*a/λ = 32*5/4 in = 40 in

then the box has dimensions 5 in x 40 in x 40 in

3 0
3 years ago
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