Solve the following LPP using the two$-$phase method:

maxz$=2x_1+3x_2$

$st.x_1+2x_{2}50$

$x_1-x_{2}10$

$3x_1+x_2=60$

$x_1,x_{2}0$

A bank has five ATM's. The cost of operating an ATM is Rs$.75$ per hour. The cost per customer in the system per hour is Rs$.50.$ If the arrival rate is $100$ customers per hour, and the service rate is $40$ customers per hour, what is the optimum number of ATM's the bank should use? What if the cost of operating an ATM were reduced to Rs$.50$ per hour?

please solve these $2$ questions I have exam send me with calculations