Question

The director of a health clinic has a quarterly budget of $600,000. She

Answer 1

The meaning of this problem is that with 7 nurses they can only hire D=13.25

What is the meaning of this problem.?

Generally, the equation for the model is  mathematically given as

$P=1000D^{0.6}N^{0.3}$

Therefore,

$dv/dD=0.6*1000*D^{0.4}N)^{0.3}$

$dv/dD=600* \frac{N6.1}{D6.1}=0$

Also

$dv/dN=300* \frac{N6.8}{N6.7}=0$

Equations 1 and 2

$300* \frac{D6.8}{N6.7}=600* \frac{N6.1}{D6.1}$

.sub D=(60N)/4

$300* \frac{((60N)/4)6.8}{N6.7}=600* \frac{N6.1}{((60N)/4)6.1}$

N=6.67

N=7

solve for D

D=(60(7))/4

D=13.25

In conclusion, with 7 nurses they can only hire D=13.25

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