Note: Do this Exercise only for problem $1($See the hints at the end of instructions $$

$4.$ In each of Problems $1,2,$ and $3,$ suppose that we'd like to see what would happen if the arrival rate were to increase in small steps; maybe a single$-$server barbershop would like to increase business by some advertising or coupons. Create a spreadsheet or a computer program $($if you haven't already done so to solve those problems$),$ and re$-$evaluate all five of $W_q,W,L_q,L,$ and $,$ except increasing the arrival rate by $5\%$ over its original value, then by $15\%$ over its original value, then by $20\%$ over its original value, and so on up through increasing it by $100\%$ over its original value $($i$.$e$.,$ doubling the arrival rate$).$ Make plots of each of the five metrics as functions of the percent increase in the arrival rate. Discuss.