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Solnce55 [7]
3 years ago
12

The budget for a film production includes the following employee pay scales: $15,000 for each technical crew member (e.g. camera

, lighting, sound), and $10,000 for each support staff (e.g., drivers, craft services, production assistants). A minimum of 20 employees is needed, but the locations can accommodate a maximum of 50 people. There must be at least 12 technical crew members to shoot the film, and there must be at least half as many crew members as support staff. Which combination of employees will minimize the cost, and what is the minimum feasible cost?
Mathematics
1 answer:
ahrayia [7]3 years ago
8 0
At least 12 technical members = 180,000 dollars
 you need half as many crew members as support staff so you need 24 support staff resulting in a total of 240,000 for support staff 

total members= 36
24+12= 36

Total amount of money spent= 420,000
180,000+240,000= 420,000
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the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width
dolphi86 [110]

Answer:

  • Length = 17 inches

  • Width = 12 inches

⠀

Step-by-step explanation:

⠀

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

⠀

Now, <u>According to the Question :</u>

⠀

{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}

⠀

{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}

⠀

{\longrightarrow \qquad { {\sf{2 ( 2x + 5  )= 58 }}}}

⠀

{\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}

⠀

{\longrightarrow \qquad { {\sf{ 4x = 58  - 10}}}}

⠀

{\longrightarrow \qquad { {\sf{ 4x = 48}}}}

⠀

{\longrightarrow \qquad { {\sf{ x =  \dfrac{48}{4} }}}}

⠀

{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\:  \:  \bigstar

⠀

Therefore,

  • The width of the rectangle is 12 inches .

⠀

Now, We are to find the length of the rectangle:

{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}

⠀

{\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}

⠀

{\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}

⠀

Therefore,

  • The length of the rectangle is 17 inches .

⠀

8 0
2 years ago
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lisabon 2012 [21]
I really hope this helps you!

7 0
4 years ago
Does 12cm,35cm,37cm equal a right triangle
velikii [3]
Start off by using the Pythagorean Theorem: a^2 + b^2 = c^2

12^2 + 35^2 = 37^2
144 + 1,225 = 1,369
1,369 = 1,369

If the left side equals the right side than it is a right triangle.

Your answer is: Yes 

Have an amazing day and stay hopeful!

4 0
3 years ago
In the following figure CB is perpendicular to AB, and CD bisects angle ACB. Find angle DBF
zaharov [31]
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measure angle ACD = measure angle BCD
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9 = x
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measure angle BCD = 25
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measure angle BDC = measure angle CDA
measure angle BDC = 90
measure angle DBF = measure angle BCD + measure angle BDC
measure angle DBF = 25 + 90
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5 0
3 years ago
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Pls I’ve been stuck on this
faust18 [17]

Area of a circle is pi x radius^2

Area = pi x 22 ^2

Area = pi x 484

Area = 1,519.8 mm^2

7 0
3 years ago
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