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balu736 [363]
3 years ago
6

What is the value of r?

Mathematics
2 answers:
tatyana61 [14]3 years ago
7 0
The answer for r is 11
Mumz [18]3 years ago
5 0
M = rp + k
308 = 9r + k >> k = -9r + 308
341 = 12r + k
341 = 12r - 9r + 308
341 = 3r + 308
33 = 3r
r = 11 :)
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sattari [20]

Answer:

Development costs: $2757

Promotion costs: $3155

Step-by-step explanation:

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Let's solve separately.

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Let's go:

$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y

we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.

deriv = $51200/(y+4)/(y+4) - $1000

We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.

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lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.

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Let's do the same for x:

$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x

deriv = $95200/(x+7)/(x+7) - $1000

$95200/(x+7)/(x+7) - $1000 = $0

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x ~= 2.75704...

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