Faraz R. answered • 03/03/16

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This is a business problem and I don't do too many business problems, but I think it is done this way. I am sorry if this is not 100% correct.

First solve for p.

You get 625p

^{2}-x^{2}=100Plug in 28 for x to get

p=1.19

Implicitly differentiate (I did it below)

1250p *dp/dt -2x dx/dt=0

1250(1.19) (-.08) -2(28)dx/dt=0

14.28-56(dx/dt)=0

You get -56(dx/dt)=-14.28

dx/dt=-14.28/-56

dx/dt=.255

Multiply that by 1000 and it will be 255.