Imagine a $20,000$ seat concert hall. We can typically get $$80\mathrm{.}00$ a seat with four start performers. This date we have a mix... The most we have ever discounted is $30\%.$ If $ø=$ the following: $\mathrm{.}5,\mathrm{.}6,\mathrm{.}7,\mathrm{.}8.–$In this case Phi is generated based on probability not to fill at full price. Create a matrix for your employees to set price strategy.

a$.$ You should know by now, the higher your Phi value, the less the probability you will fill seats without discounting.

b$.$ This matrix is a $4$x$4$

c$.$ Create $4$ possible discounts up to $30\%$

d$.$ What will you tell your employees to do with this Matrix?