Suppose the supply of x units of a product at price p dollars per unit is given by p=10+5 ln (4x+8). How many units (to the nearest whole unit) would be supplied when the price is $40 each.

Solve the equation 40 = 10 + 5ln(4x+8) => ln(4x+8) = 6; 4x + 8 = e^6

x = (e^6 - 8) / 4 = 99 units.

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