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anastassius [24]
2 years ago
7

What does it mean to represent something? In what other situations have you heard

Mathematics
1 answer:
mars1129 [50]2 years ago
8 0
It means to be the face of it if that makes sense. like you embrace it and speak good on it. representatives of the for example, gatorade, might promote or try and convince why the product is good. or representatives for the president
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A company manufactures and sells x television sets per month. The monthly cost and​ price-demand equations are ​C(x)=74,000+80x
SOVA2 [1]

Answer:

a) $675000

b) $289000 profit,3300 set, $190 per set

c) 3225 set, $272687.5 profit, $192.5 per set

Step-by-step explanation:

a) Revenue R(x) = xp(x) = x(300 - x/30) = 300x - x²/30

The maximum revenue is at R'(x) =0

R'(x) = 300 - 2x/30 = 300 - x/15

But we need to compute R'(x) = 0:

300 - x/15 = 0

x/15 = 300

x = 4500

Also the second derivative of R(x) is given as:

R"(x) = -1/15 < 0 This means that the maximum revenue is at x = 4500. Hence:

R(4500) = 300 (4500) - (4500)²/30 = $675000  

B) Profit P(x) = R(x) - C(x) = 300x - x²/30 - (74000 + 80x) = -x²/30 + 300x - 80x - 74000

P(x) = -x²/30 + 220x - 74000

The maximum revenue is at P'(x) =0

P'(x) = - 2x/30 + 220= -x/15 + 220

But we need to compute P'(x) = 0:

-x/15 + 220 = 0

x/15 = 220

x = 3300

Also the second derivative of P(x) is given as:

P"(x) = -1/15 < 0 This means that the maximum profit is at x = 3300. Hence:

P(3300) =  -(3300)²/30 + 220(3300) - 74000 = $289000  

The price for each set is:

p(3300) = 300 -3300/30 = $190 per set

c) The new cost is:

C(x) = 74000 + 80x + 5x = 74000 + 85x

Profit P(x) = R(x) - C(x) = 300x - x²/30 - (74000 + 85x) = -x²/30 + 300x - 85x - 74000

P(x) = -x²/30 + 215x - 74000

The maximum revenue is at P'(x) =0

P'(x) = - 2x/30 + 215= -x/15 + 215

But we need to compute P'(x) = 0:

-x/15 + 215 = 0

x/15 = 215

x = 3225

Also the second derivative of P(x) is given as:

P"(x) = -1/15 < 0 This means that the maximum profit is at x = 3225. Hence:

P(3225) =  -(3225)²/30 + 215(3225) - 74000 = $272687.5

The money to be charge for each set is:

p(x) = 300 - 3225/30 = $192.5 per set

When taxed $5, the maximum profit is $272687.5

3 0
3 years ago
Equivalent equation in standard form
aleksandrvk [35]

Step-by-step explanation:

y = 4x - 2 \\ 2 = 4x - y \\ \purple{ \boxed{ \bold{ 4x - y = 2}}} \\ is \: the \: equivalent \: equation \: in \: \\  standard \: form.

7 0
3 years ago
Ivan drove 804 miles in 12 hours.<br> At the same rate, how many miles would he drive in 9 hours?
kykrilka [37]
804 miles/12 hours = 67 miles

Which means that Ivan drove 67 miles per hour

67 miles*9 hours = 603 miles

Which means that in 9 hours Ivan can drive 603 miles if he drives at a constant speed of 67 miles per hour.
4 0
3 years ago
Find the volume of the sector please
Nesterboy [21]

Answer:

j

Step-by-step explanation:

i could nit find a answer for tge problem and the answer i got was not on the pic sooo

6 0
3 years ago
Alan's go-kart travels 1750 feet per minute, and Barry's go-kart travels 21 miles per hour. Who's go-kart travels faster? Round
olga2289 [7]
YAY FREE POINTS THANKS ALOT!!!
8 0
3 years ago
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