Question

Suppose the supply of x units of a certain product at price p dollars per unit is given by

p = 11 + 6 ln(3x + 1).
How many units of this product would be supplied when the price is $59 each? (Round your answer to the nearest whole number.)

Answer 1

993 units

Explanation:

Notice the answer follows your equation

`P=11+6ln(3x+1)`

so, plug in the price of P=59

`59=11+6ln(3x+1)` subtract 11

`48=6ln(3x+1)` divide by 6

`8=ln(3x+1)` use exponential

`e^8=3x+1` subtract 1

`e^8-1=3x` divide by 3

`(e^8-1)/(3) = x` This is the solution.

Using a calculator 993.319329
So rounding the nearest whole number: 993