$20.$ Update the master schedule shown in Figure $11\mathrm{.}11$ given these updated inputs: It is now the end of week $1$; customer orders are $25$ for week $2,16$ for week $3,11$ for week $4,8$ for week $5,$ and $3$ for week $6.$ Use the MPS rule of ordering production when projected on$-$hand inventory would be negative without production. Prepare the master schedule for weeks $2$ through $8.$