Help with an array Formula to Compare, Sum, then Multiply result by a Constant

I'm hoping someone may be able to help a newbie with an array problem I'm having.

Column A has various values. Column B has various values. Cell C1 has 100 as the value.

I need an array that multiples cell A1 * B1 to check to see if that value is > 0. Then multiples A2 * B2 to check if that is > 0 and so on through the end of the array. If any of those calculations yield a result that is > 0, then the array will take the result for each individual calculation and, if it is true, multiply the value in Column B by the value cell C1.

For example:
A1 = 10
A2 = 0
A3 = 15


B1 = 2
B2 = 3
B3 = 1


C1 = 100

The result of this should be 300 calculated as:

A1*B1>0 so B1 * C1 = 200
A2*B2=0 so do nothing
A3*B3>0 so B3 * C1 = 100

The result is 300. I need this result represented in a single cell. Can anyone help?

Thank you!

Troy

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