#1: Solve for x when ̅𝑀̅̅̅𝑅̅ = ̅𝑀̅̅̅𝐶̅, or 𝑑𝑦/𝑑𝑥 = &#119

[answerhappygod]

#1: Solve for x when ̅𝑀̅̅̅𝑅̅ = ̅𝑀̅̅̅𝐶̅, or 𝑑𝑦/𝑑𝑥 = 𝑣. You will
need to substitute 𝑧 = 𝑒−𝑘𝑥 in the
derivative before simplifying the equation to a quadratic equation
and using the quadratic formula
to find z, then perform a logarithm to get x.
(e is to the power of -kx)
#2: Calculate the maximum profit from total revenue and cost at the
value of x in step #1.
v= 0.92
f= 20
L= 104
M= 0.83
N= 12
k= 0.0781884